In Triangle JKL, ∠J is congruent to ∠L.

In Triangle JKL, J Is Congruent To L.

Answers

Answer 1

The measure of ∠L in Triangle JKL is 56.1 degrees.

What is the measures in triangles?

In geometry, the measures in triangles refer to the angles and sides within a triangle. Triangles are three-sided polygons, and the measures of their angles and sides are important properties that determine their shape and characteristics.

In a triangle, the sum of the measures of all three angles is always 180 degrees. Therefore, to find the measure of ∠L in Triangle JKL, we can use the information given:

∠J is congruent to ∠L, which means they have the same measure.

∠K is given as 67.8 degrees.

Since ∠J is congruent to ∠L, we can denote their measure as "x".

So, the sum of the measures of ∠J, ∠K, and ∠L is 180 degrees:

∠J + ∠K + ∠L = 180

Substituting the given values:

x + 67.8 + x = 180

Simplifying the equation:

2x + 67.8 = 180

Subtracting 67.8 from both sides:

2x = 180 - 67.8

2x = 112.2

Dividing both sides by 2:

x = 112.2 / 2

x = 56.1

Hence, the measure of ∠L in Triangle JKL is 56.1 degrees.

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Related Questions

they're surprised to see that final stores the value 0.7999999999999999 instead of 0.8. what is the best explanation for that result?

Answers

The limited precision of floating-point arithmetic in computers can cause rounding errors, leading to unexpected results such as the value 0.7999999999999999 instead of 0.8. This occurs because certain decimal values cannot be accurately represented in binary form.

This is due to the way floating-point numbers are represented in the computer's memory.

Binary floating-point arithmetic cannot represent every decimal value exactly, so sometimes small rounding errors can occur.

In this case, the value 0.8 cannot be represented exactly in binary floating-point format, so the closest approximation is used, resulting in a slightly different value.

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Can Someone Help me with this It is not easy
[ 40 POINTS]Ф

Answers

Answer:

4^9262144

Step-by-step explanation:

You get 4 pennies for a first job, 16 pennies for the second job, 64 pennies for the 3rd job, and you want to know how many pennies you get for the 9th job, if each job quadruples the pay.

Exponential expression

We can write the number of pennies as a power of 4:

job 1: 4^1 penniesjob 2: 4^2 penniesjob 3: 4^3 pennies...job 9: 4^9 pennies

You will get 4^9 pennies for the 9th job.

That is 262144 pennies.

<95141404393>

the the radian measure of each angle 1. 45 2.225 3. pie over 2
4. 3pie over 4
5. 3 radians

Answers

The radian measure of each angle:

1. π/4

2. 5π/4

The degree measure of each angle:

3. 90°

4. 135°

5. 540°

How to find the radian measure of each angle?

To find the radian measure of each angle, use π/180 to multiply each angle and then simply. That is:

1.) 45 * π/180 = π/4 radian

2.) 225 * π/180 = 5π/4 radian

To find the degree measure of each angle, use 180/π to multiply the angles and then simply. That is:

3.)  π/2 * 180/π = 90°

4.)  3π/4 * 180/π = 135°

5.)  3π * 180/π = 540°

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Write the equation for shifting the parent function of the absolute value function 3 units down.

Answers

The vertex will be at (0, -3), and the graph will be lower than the parent function by 3 units at every point. The parent function of the absolute value function is f(x) = |x|.

To shift this function 3 units down, we need to subtract 3 from the function's output (y) at every point on the graph. This can be expressed as:

f(x) = |x| - 3

The absolute value function is symmetric around the y-axis, which means that any shifts to the left or right do not affect the shape of the graph, only its position on the coordinate plane.

However, a vertical shift up or down will change the location of the vertex, the point where the graph changes direction. In this case, the vertex will be at (0, -3), and the graph will be lower than the parent function by 3 units at every point.

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Marcella drew a scale drawing of her plan to plant 6 rows of 8 trees in her orchard. The orchard is 70 meters long and 50 meters wide. Marcella used a 7-inch-wide rectangular grid for the drawing. What is the scale Marcella used for her drawing?

Answers

The scale Marcella used for her drawing is 7 inches : 50 meters

Calculating the scale used for her drawing

The statements in the question are given as

Dimension of the orchard is 70 meters long and 50 meters wide. Width of the scale drawing = 7 inches rectangular grid

The above statements imply that we have the following scale ratio

Scale = Scale measurement : Actual measurement

When the given values are substituted in the above equation, the equation becomes

Scale = 7 inches : 50 meters

The above cannot be simplified because 7 and 50 do not have common factors

So, it means that the scale Marcella used for her drawing is 7 inches : 50 meters

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A random sample of 318 students from a large college were asked if they are planning to visit family during Thanksgiving break. Based on this random sample, a 95% confidence interval for the proportion of all students at this college who plan to visit family during Thanksgiving break is 0. 78 to 0. 98. Which of the following is the correct interpretation of the confidence interval?



Group of answer choices



1)We are 95% confident that the interval from 0. 78 to 0. 98 captures the true proportion of all students at this college who plan to visit family during Thanksgiving break.



2)We are 95% confident that the interval from 0. 78 to 0. 98 captures the true mean of all students at this college who plan to visit family during Thanksgiving break.



3)95% of students at this college are going home during Thanksgiving Break.



4)None of these are correct

Answers

The correct interpretation of the given confidence interval is 95% confidence that the true proportion of all students at this college who plan to visit family during Thanksgiving break is between 0.83 and 0.93 .
Then the required answer to the given question is Option D.


Let us consider a random sample of 318 students from a large college that were asked if they are planning to visit family during Thanksgiving break. Now placing the given random sample, the proportion of  95% confidence interval of all students at this college that planned to visit family during Thanksgiving break is 0.78 to 0.98 .


The formula for evaluating the confidence interval is

CI = p ± z × √((p × (1 - p)) / n)

Here,
CI = confidence interval,
p = sample proportion,
z = z-score corresponding to the desired level of confidence (in this case, 95%)
n is the sample size .

Applying  the values

CI = 0.88 ± 1.96 × √((0.88 × (1 - 0.88)) / 318)
CI = 0.88 ± 0.05
CI = (0.83, 0.93)
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The floor of a storage unit is 6.4 feet long and 6.2 feet wide. What is the distance between two opposite corners of the floor? If necessary, round to the nearest tenth.

Answers

Answer: 8.9

Step-by-step explanation:

This is pythagoras.

[tex]a^{2} + b^{2} = c^{2}\\6.4^{2} + 6.2^{2} = c^{2}\\40.96 + 38.44 = 79.4\\\sqrt{79.4} = 8.91066776398[/tex]

8.91066776398 = 8.9 (nearest tenth)

Barry is selling baseball cards. he sold 2 for $8.00 and 4 for $14.00. what will barry charge for 7 baseball cards if he keeps selling cards at the same rate?

Answers

Barry will charge $24.50 for 7 baseball cards if he keeps selling cards at the same rate.

We can solve this problem by first calculating the price per card for each of the two deals, and then using that information to find the price for 7 cards.

Let x be the price of one baseball card, in dollars. From the information given, we know that:

2 cards cost $8.00, so 1 card costs $4.00: 2x = 8.00 => x = 4.00

4 cards cost $14.00, so 1 card costs $3.50: 4x = 14.00 => x = 3.50

So we see that the price per card is different for the two deals. To find the price for 7 cards, we can use a weighted average of the two prices:

Price for 2 cards: $8.00

Price for 4 cards: $14.00

Total price for 6 cards: $22.00

We can now find the price for one more card by subtracting the total price for 6 cards from the price for 7 cards:

Price for 7 cards: $?

Price for 6 cards: $22.00

Price for 1 card: $?

Price for 7 cards = Price for 6 cards + Price for 1 card

Price for 1 card = Price for 7 cards - Price for 6 cards

We know that the total price for 7 cards is the same as the price for 2 cards plus the price for 4 cards plus the price for 1 more card:

Price for 7 cards = Price for 2 cards + Price for 4 cards + Price for 1 card

Price for 7 cards = 2x + 4x + 1x = 7x

Substituting the value we found for x earlier, we get:

Price for 1 card: $3.50

Price for 7 cards: $24.50

Therefore, Barry will charge $24.50 for 7 baseball cards if he keeps selling cards at the same rate.

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Greg uses a triangular area of his backyard as a garden. If the area of his backyard is 1,248 square feet, what is the area of the garden?

Answers

Unfortunately, we don't have enough information to determine the area of the garden. We would need to know the dimensions of the backyard and/or the garden to calculate their areas.

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Solve the following system of equations using Gauss-Jordan elimination method. (Hint: your given Ax=b, you should solve for the inverse of A and obtain x= A A. 4x1 + 3x2 + x3 = 2
B. x1 + x2 + x3 = 3 C. 2x1 + 5x2 + 2x3 = 1

Answers

The Gauss-Jordan elimination method is used to obtain the inverse of a matrix and solve a system of equations. The solution for the given system is x1 = 2/3, x2 = 5/3, x3 = 2/3.

We can represent the given system of equations in the matrix form as

| 4   3   1 |   | x1 |   | 2 |

| 1   1   1 | * | x2 | = | 3 |

| 2   5   2 |   | x3 |   | 1 |

Let's perform Gauss-Jordan elimination to obtain the inverse of the matrix A.

Augment the matrix with an identity matrix of the same order:

| 4   3   1 |   | 1  0  0 |   | ? ? ? |

| 1   1   1 | * | 0  1  0 | = | ? ? ? |

| 2   5   2 |   | 0  0  1 |   | ? ? ? |

Use row operations to transform the left side of the augmented matrix into an identity matrix:

| 4   3   1 |   | 1  0  0 |   | ? ? ? |   | 1  0  0 |

| 1   1   1 | * | 0  1  0 | = | ? ? ? | =>| 0  1  0 |

| 2   5   2 |   | 0  0  1 |   | ? ? ? |   | 0  0  1 |

To achieve this, we can subtract 2 times the second row from the third row, and subtract 4 times the second row from the first row:

| 4   3   1 |   | 1  0  0 |   | ? ? ? |   | 1  0  0 |

| 1   1   1 | * | 0  1  0 | = | ? ? ? | =>| 0  1  0 |

| 0   3   0 |   | 0 -2  1 |   | ? ? ? |   | 0  0  1 |

Next, we can divide the second row by 3 to obtain a leading 1 in the second row, and subtract 3 times the second row from the first row:

| 1   0  -1 |   | 1 -1  1/3 |   | ? ? ? |   | 1  0  0 |

| 0   1  0  | * | 0  1  0   | = | ? ? ? | =>| 0  1  0 |

| 0   0  1  |   | 0 -2  1   |   | ? ? ? |   | 0  0  1 |

Finally, we can add the third row to the first row and subtract the third row from the second row

| 1   0  0 |   | 1 -1  4/3 |   | ? ? ? |   | 1  0  0 |

| 0   1  0 | * | 0  1  2   | = | ? ? ? | =>| 0  1  0 |

| 0   0  1 |   | 0 -2  1   |   | ? ? ? | =>| 0  0  1 |

Hence, we have obtained the inverse of the matrix A as

| 1 -1  4/3 |

| 0  1  2   |

| 0 -2  1   |

We can now find the solution vector x by multiplying the inverse of A with the vector b

| x1 |   | 1 -1  4/3 |   | 2 |

| x2 | = | 0  1  2   | * | 3 |

| x3 |   | 0 -2  1   |   | 1 |

Performing the matrix multiplication, we get

| x1 |   | 2/3 |

| x2 | = | 5/3 |

| x3 |   | 2/3 |

Therefore, the solution of the given system of equations is

x1 = 2/3

x2 = 5/3

x3 = 2/3

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Albert and Makayla are each renting a car for one day. Albert’s rental agreement states that the car costs $35 per day and $0. 15 per mile driven. Makayla’s agreement states that the car she is renting costs $45 per day and $0. 10 per mile driven. Write an equation to determine the number of miles, m, Albert and Makayla drive if they spend the same amount of money on their rentals

Answers

To determine the number of miles, m, Albert and Makayla drive if they spend the same amount of money on their rentals, we can write an equation using the given information:

Albert's cost = $35 per day + $0.15 per mile driven
Makayla's cost = $45 per day + $0.10 per mile driven

Since they spend the same amount of money, we can set the costs equal to each other:

35 + 0.15m = 45 + 0.10m

Now, we need to solve the equation form, the number of miles driven:

1. Subtract 0.10m from both sides:
35 + 0.05m = 45

2. Subtract 35 from both sides:
0.05m = 10

3. Divide both sides by 0.05:
m = 200

So, if Albert and Makayla spend the same amount of money on their rentals, they both drive 200 miles.

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Lines AC and BD intersect at point O. Lines AC and BD intersect at point O. If m∠AOD = (10x − 7)° and m∠BOC = (7x + 11)°, what is m∠BOC?

A. 6°
B. 53°
C. 89°
D. 106°

Answers

Answer: the answer is B. 53°

Step-by-step explanation:

(10x-7) = (7x+11)

10x-7-7x =7x+11-7x

3x-7=11

3x-7+7=11+7

3x=18

x=6

Plug 6 into angle ∠BOC

7x+11

7(6)+11

42+11

53°

Given that lines AC and BD intersect at point O, we know that ∠AOD and ∠BOC form a linear pair. It means that the sum of those angles should be 180° since the straight line's sum is 180°.

Therefore, we can create the equation (10x - 7)° + (7x + 11)° = 180°, where x is the variable we need to find.

By combining like terms, we simplify this equation to 17x + 4 = 180.

To isolate x, we have to subtract 4 from both sides of the equation, resulting in 17x = 176.

Now, dividing both sides by 17, we find that x equals approximately 10.35.

Finally, to find measure of ∠BOC, we just need to substitute the value of x we found into the expression of m∠BOC: m∠BOC = 7*10.35 + 11, which is approximately 83.47°.

Based on the choices given, C. 89° is the closest to our calculated value. Therefore, the answer is C. 89°.

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The table shows the number of beads used to make a necklace.
Ginger wants to make a smaller necklace using the same ratio of pink to white beads.
How many different necklaces could Ginger make?
How do you know?

Answers

Answer:

The Answer is 5

Step-by-step explanation:

Pink beads : White beads

30 : 35

( 30 / 5 ) : ( 35 / 5 )

6 : 7

To find the number of beads, You divide the number of pink beads available by the number of pink beads in the ratio:

= 30 / 6

= 5 necklaces

hope this helps :)

. If you cut a sector out of a circle and fold the radiitogether, you can form a cone. What is the measure of angle ABCsuch that the sector will produce a cone with maximum possiblevolume?

Answers

The measure of angle ABC that will produce a cone with the maximum possible volume can be found using optimization techniques. Let r be the radius of the circle and x be the length of the radius that is cut out to form the cone. Then, the slant height of the cone can be expressed as s = sqrt(r^2 - x^2), and the volume of the cone can be expressed as V = (1/3)πx^2(r - x).To find the maximum volume, we take the derivative of V with respect to x and set it equal to zero:dV/dx = (2/3)πx(r - 2x) = 0Solving for x, we get x = r/2, which is the value that maximizes the volume of the cone. Therefore, the sector that will produce a cone with the maximum possible volume is formed by cutting a radius that is half the length of the radius of the circle. The measure of angle ABC can be found using trigonometry, as sin(ABC) = x/r = 1/2, so ABC = sin^(-1)(1/2) ≈ 30 degrees.

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The measure of angle ABC that will produce a cone with the maximum possible volume is approximately 58.49 degrees.

To determine the measure of angle ABC that will produce a cone with the maximum possible volume, we need to use some geometry formulas.

First, we need to understand that the volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height of the cone.

When we fold the sector of the circle to form a cone, we need to make sure that the radius of the base of the cone is equal to the length of the arc of the sector. Let's call this length x.

Now, we know that the circumference of the circle is 2πr, and the length of the arc of the sector is x. Therefore, the measure of the angle of the sector is (x/2πr) * 360 degrees.

We want to find the measure of angle ABC that will give us the maximum possible volume of the cone. To do this, we need to maximize the value of r and h.

Using some trigonometry, we can see that sin(ABC/2) = (x/2r). Rearranging this formula, we get r = x/(2sin(ABC/2)).

Substituting this value of r in the formula for the volume of the cone, we get V = (1/3)π(x^2/(4sin^2(ABC/2)))h.

To maximize this volume, we need to maximize both x and h. We know that x is fixed, so we need to maximize h.

Using some more trigonometry, we can see that h = rcos(ABC/2) = (x/2) * cot(ABC/2).

Substituting this value of h in the formula for the volume of the cone, we get V = (1/3)π(x^2/(4sin^2(ABC/2)))((x/2) * cot(ABC/2)).

To find the maximum value of V, we need to differentiate this formula with respect to ABC and set the derivative equal to zero.

After some calculations, we get tan(ABC/2) = 2/3. Solving for ABC, we get ABC = 2tan^-1(2/3) ≈ 58.49 degrees.

Therefore, the measure of angle ABC that will produce a cone with the maximum possible volume is approximately 58.49 degrees.

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A $70,000 mortgage is $629. 81 per month. What was the percent and for how many years?


9%, 20 years



9%, 25 years



7%, 20 years



9%, 30 years

Answers

The closest answer is 9% interest rate and 25 years term of the loan.

Assuming the $70,000 mortgage is a fixed-rate mortgage, we can use the formula for the monthly payment of a mortgage to solve for the interest rate and the term of the loan.

The formula is:

M = P [ i(1 + i)^n ] / [ (1 + i)^n - 1 ]

where:

M = monthly payment

P = principal (amount borrowed)

i = interest rate (per month)

n = number of months

Substituting the given values, we get:

$629.81 = $70,000 [ i(1 + i)^n ] / [ (1 + i)^n - 1 ]

Using a mortgage calculator or by trial and error, we can find that the closest answer is 9% interest rate and 25 years term of the loan.

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The equation x^2+y^2=1156 represents the service that a cell phone tower provides. How far from the tower will you receive cell phone service?

Answers

The distance from the tower that you will receive the phone service is: 34 units

How to find the equation of the circle?

The general form of the equation of a circle is:

(x – h)² + (y – k)² = r²

where:

(h, k) represents the location of the circle's center.

r represents the length of its radius.

We are given the equation that represents the service that a cell phone tower provides. The equation is:

x² + y² = 1156

Expressing in standard form of equation of a circle gives:

(x – 0)² + (y – 0)² = 34²

Thus, r = 34 will denote the distance from the tower that you will receive the phone service

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A restaurant owner rejects his produce shipment if he finds more than 3 crates with any bruised
or spoiled food in it. The probability that a crate has bruised or spoiled food in it is 0.11. What
is the probability that he will reject a shipment of 15 crates?

Answers

This is a binomial distribution problem where the probability of success (finding a bruised or spoiled crate) is 0.11 and the number of trials is 15. The restaurant owner will reject the shipment if he finds more than 3 bruised or spoiled crates.

The probability of finding 0, 1, 2, or 3 bruised or spoiled crates in a shipment of 15 crates is:

P(X = 0) = (15 choose 0) * (0.11)^0 * (0.89)^15 = 0.27
P(X = 1) = (15 choose 1) * (0.11)^1 * (0.89)^14 = 0.39
P(X = 2) = (15 choose 2) * (0.11)^2 * (0.89)^13 = 0.25
P(X = 3) = (15 choose 3) * (0.11)^3 * (0.89)^12 = 0.09

The probability of finding more than 3 bruised or spoiled crates is:

P(X > 3) = 1 - P(X ≤ 3) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3))
= 1 - (0.27 + 0.39 + 0.25 + 0.09) = 0.01

Therefore, the probability that the restaurant owner will reject a shipment of 15 crates is 0.01 or 1%.

Mai  Drew does design shown below each rectangle in the design have the same area each rectangle is a what fraction of the area of the complete design 

Answers

Answer:

1/3

Step-by-step explanation:

There are 3 rectangles, so 1 rectangle is 1 out of 3 rectangles.  So the fraction would be 1/3.

Each rectangle is 1/3 fraction of the complete design.

What are Fractions?

Fractions are type of numbers which are written in the form p/q, which implies that p parts in a whole of q.

Here p, called the numerator and q, called the denominator, are real numbers.

Given is a design drawn by Mai.

The design consists of three rectangles.

Also, given that each of the rectangle has the same area.

This means that if we find one of the rectangle's area, multiply it by 3 and we will get the whole area.

Or in other words, if we find the whole area, then divide it by 3 to get each of the rectangle's area.

So the required fraction is 1/3.

Hence the fraction is 1/3.

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A dealer paid $10,000 for a boat at an auction. At the dealership, a salesperson sold the boat for 30% more than the auction price. The salesperson received a commission of 25% of the difference between the auction price and the dealership price. What was the salesperson’s commission?

Answers

The commission of the salesperson is $750 if he received a commission of 25% of the difference between the auction price and the dealership price.

The salesperson's commission can be calculated by first finding the dealership price, which is 30% more than the auction price of $10,000.

30% of $10,000 = $3,000

Dealership price = $10,000 + $3,000 = $13,000

Next, we need to find the difference between the dealership price and the auction price

$13,000 - $10,000 = $3,000

The salesperson's commission is 25% of this difference

25% of $3,000 = $750

Therefore, the salesperson's commission is $750.

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Scientists measured 24 geodes in kilograms and got the following data: 0.9, 1.1, 1.1, 1.2, 1.5, 1.6, 1.7, 1.7, 1.7, 1.9, 2.0, 0.8, 2.3, 5.3, 6.8, 7.5, 9.6, 10.5, 11.2, 12.0, 17.6, 23.9, and 26.8
How many items belong to the interval 10.1-15

Answers

Answer:

the answer to your problem is 3

Dolly went to the Walmart and he buy 14 teddy bears and 3 dolls for 158 $ and her sister went to the Gwinnett place mall and she buy 8 teddy bears and 12 dolls for 296 $. If they both buy same brand bears and dolls, then what is price of one teddy bear and one doll? (use matrices multiplication to solve system of equations. ) (Show work)

Answers

According to formed equations, the price of one teddy bear and one doll is $7 and $20 respectively.

Let us represent the teddy bear as x and dolls as y. Now, framing the equation for Dolly and Gwinnett.

Cost of teddy bear × number + cost of dolls × number = total expenditure

14x + 3y = 158 : equation 1

8x + 12y = 296 : equation 2

Divide the equation by 4

2x + 3y = 74 : equation 3

Subtraction equation 3 from equation 1

14x + 3y = 158

- 2x + 3y = 74

12x = 84

x = 84/12

x = $7

So, the cost of teddy bear = $7

keep the value of x in equation 3 to find the cost of y

2×7 + 3y = 74

14 + 3y = 74

3y = 74 - 14

3y = 60

y = 60/3

y = $20

Thus, the cost of teddy bear and dolls are $7 and $20.

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What is the lateral area of the cone to the nearest whole number? The figure is not drawn to scale.
*
Captionless Image
34311 m^2
18918 m^2
15394 m^2
28742 m^2

Answers

Answer:

π(70)(√(70^2 + 50^2)) = π(700√74) m^3

= 18,918 m^3

The domain in a set of ordered pairs is always the y-coordinate.


True or False

Answers

Answer: False

Step-by-step explanation: It is false because the y-coordinate is the range.

Redland Municipal Middle School offers the following girls sports:



Part A:



Regina wants to play one sport in each of the three seasons during her 8th grade year. Create a list that shows the sample space for the sports that she could play.




Part B:



What is the probability that Regina plays tennis and/or basketball during her 8th grade year?

Answers

probability that Regina plays tennis and/or basketball during her 8th grade year at Redland Municipal Middle School, we first need to know the total number of sports offered and the number of students participating in each sport. However, based on the information provided in your question, we do not have sufficient data to determine the probability.

In general, to determine the probability, we would follow these steps:

1. Determine the total number of sports offered at the school (let's call this S).
2. Find out the number of students participating in tennis (T) and basketball (B).
3. Calculate the probability of Regina playing tennis (P_T) by dividing T by S.


4. Calculate the probability of Regina playing basketball (P_B) by dividing B by S.
5. Use the formula P(T or B) = P_T + P_B - P(T and B) to calculate the probability that Regina plays tennis and/or basketball. Here, P(T and B) is the probability of her playing both sports.

Without the specific numbers, we cannot provide a precise probability. Please provide more details about the sports and participation at Redland Municipal Middle School to help us calculate the probability accurately.

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Estimate the radius of the object. Round to the nearest hundredth if necessary.


C = 8. 9 mm


radius: about


mm

Answers

The estimated radius of the object is about 1.42 mm.

The given information is that the circumference( C) of the object is8.9 mm.

We know that the formula for the circumference of a circle is given by  

C =  2πr  

where r is the compass of the circle.  

To estimate the compass, we can rearrange the formula as

  r =  C/ 2π  

Substituting the given value of C, we get

  r = 8.9/ 2π

we can  estimate this expression to get  

r ≈1.42 mm( rounded to two decimal places)

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Please help!!! prove triangle abe is congruent to triangle cde

Answers

To prove that triangle ABE is congruent to triangle CDE, we need to show that all three corresponding pairs of sides and angles are equal.

Firstly, we can see that angle ABE is congruent to angle CDE as they are both right angles (90 degrees).

Secondly, we can see that side AB is congruent to side CD as they are both the hypotenuse of their respective triangles.

Lastly, we need to show that side AE is congruent to side CE. We can do this by using the Pythagorean theorem.

In triangle ABE, we have:

AE^2 = AB^2 - BE^2

In triangle CDE, we have:

CE^2 = CD^2 - DE^2

Since AB is congruent to CD and BE is congruent to DE (they are corresponding sides), we can substitute and simplify:

AE^2 = CD^2 - DE^2 - BE^2

CE^2 = CD^2 - DE^2

Therefore, if we subtract the second equation from the first, we get:

AE^2 - CE^2 = -BE^2

Since BE is a positive length, -BE^2 is negative. Therefore, AE cannot be equal to CE.

Thus, we have shown that triangle ABE is not congruent to triangle CDE.

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You doing practice 2

Answers

Answer:

there is a lot of words

Step-by-step explanation:

6209

Find cot0, sin 0, and csc 0, where 0 is the angle shown in the figure.
Give exact values, not decimal approximations.
0
11
8
cot 0 = 0
sin 0 = 0
csc 0 = 0

Answers

Answer:

Step-by-step explanation:

sun cos

please help...................

Answers

8(5)-9
40-9

Answer is 31

Jayden just accepted a job at a new company where he will make an annual


salary of $41000. Jayden was told that for each year he stays with the


company, he will be given a salary raise of $2500. How much would Jayden make as a salary after 4 years working for the company? What would be his salary after t years?

Answers

Jayden's starting salary is $41000 per year. If he stays with the company for one year, he will receive a raise of $2500, bringing his new salary to $43500. If he stays for two years, he will receive another raise of $2500, bringing his salary to $46000.

If he stays for three years, he will receive a third raise of $2500, bringing his salary to $48500. And finally, if he stays for four years, he will receive a fourth raise of $2500, bringing his salary to $51000.

Therefore, after four years working for the company, Jayden's salary would be $51000 per year.

After t years, Jayden's salary would be calculated as follows:

- After one year: $41000 + $2500 = $43500
- After two years: $41000 + ($2500 x 2) = $46000
- After three years: $41000 + ($2500 x 3) = $48500
- After four years: $41000 + ($2500 x 4) = $51000
- After t years: $41000 + ($2500 x t).

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