Mathematics High School

Hi can someone assist me with this question and help me solve it?

Answers

Answer 1

Answer:

40°

Step-by-step explanation:

Given l \\ m,

m∠13 = m∠7 (alternate interior angles)

m∠13+m∠15 = 180° (Sum of angles in a straight line)

[tex]6x+4+(14x-4)=180\\6x+4+14x-4=180\\20x=180\\x=\frac{180}{20} \\=9\\\\[/tex]

Substitute x to find m∠13

m∠13= 6x+4 = 6(9)+4 = 36 + 4 = 40°

Related Questions

Solve the equation.

{x-3}{5}=12

Answers

Answer: 63

Step-by-step explanation:

I assume you meant (x+3)/5 = 12.

(x-3)/5 = 12 [given]x-3 = 60 [multiply both sides by 5]x = 63 [add 3 to both sides]

Reece and Sarah share some money in the ratio 9 : 16.
Reece says that Sarah gets more than 60% of this money. Show that Reece is correct.

Answers

Answer:

64% > 60%

Step-by-step explanation:

Total Units = 9 + 16 = 25 units.

Sarah Receives 16 units out of 25.

Percentage = 16/25 * 100

= 64%

Therefore Sarah received more than 60% of this money and therefore Reece is correct.

evaluate the following expression when x=-4 and y=4
x³-x /4y[tex]\frac{x}{y}[/tex]

Answers

Answer: - 60

Step-by-step explanation:

[tex]\frac{(-4)^3 - (-4)}{4(4)^-4/4} \\\\= -60[/tex]

express 80 as a product of its prime factors, write the prime numbers in accending order

Answers

Answer:

80 as a product of prime numbers can be expressed as 2×2×2×2×5

Suppose we want to choose 6 letters without replacement from 10 distnict letters. how many ways can this be done if the order of the choices is relavant

Answers

The number of ways this can be done is 151200 if they choose 6 letters without replacement from 10 distinct letters.

What are permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Suppose we want to choose 6 letters without replacement from 10 distinct letters.

Number of letters = 10

Number of letters need to select = 6

Order is important.

A number of ways:

C(10, 6) = 10!/(10-6)!

= 10!/(4)!

= 151200

Thus, the number of ways this can be done is 151200 if they choose 6 letters without replacement from 10 distinct letters.

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The height of a cone is twice the radius of its base. a cone has a height of 2 x and a radius of x. what expression represents the volume of the cone, in cubic units?

Answers

Answer:

Step-by-step explanation:

The volume of a cone is V = 1/3 [tex]\pi[/tex] * h * r^2

The height of the cone = the diameter of its circle.

Here is the expression:

Volume = 1/3 π * 2x * x^2

[tex]\frac{\pi *x^{2} *2x}{3}[/tex]

Hope I helped!

What is the equation of the line that passes through the point (8,4) and has an undefined slope?

Answers

Answer:

x = 8

Step-by-step explanation:

An undefined slope indicates that the line is vertical and parallel to the y- axis with equation

x = c ( c is the value of the x- coordinates the line passes through )

the line passes through (8, 4 ) with x- coordinate 8 , then

x = 8 ← equation of line

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Find the y-intercept of the rational function.

A (0, -10)
B (-10, 0)
C (0 , -2)
D (-2, 0)

Answers

Answer:

Step-by-step explanation:

The y intercept is when the graph passes the y axis. This occurs at (0,-2)

What is the remainder of the quantity 5 x cubed plus 7 x plus 5 end quantity divided by the quantity x plus 2 end quantity? Show all necessary steps.

Answers

The remainder of the polynomial equation is -49

What is a remainder of a polynomial equation?

The remainder of a quantity in an algebraic expression of a polynomial equation is the remaining amount of the quantity left and can not be divisible by the divisor.

From the given information, we are to find the remainder of the given algebraic equation:

[tex]\mathbf{= \dfrac{5x^3+7x+5}{x+2} }[/tex]

Using the long division method, we have:

[tex]\mathbf{= \dfrac{5x^3+7x+5}{x+2} } \implies \mathbf{5x^2 + \dfrac{-10x^2+7x+5}{x+2}}[/tex]

Divide by [tex]\mathbf{ \dfrac{-10x^2+7x+5}{x+2}}[/tex], we have:

[tex]\mathbf{= 5x^2- 10x+ \dfrac{27x+5}{x+2}}[/tex]

Divide by [tex]\mathbf{\dfrac{27x+5}{x+2}}[/tex], we have:

[tex]\mathbf{= 5x^2- 10x+ 27 +\dfrac{-49}{x+2}}[/tex]

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find the smallest 4 digit number which is exactly divisible by 72 and 108
with explaination

Answers

The smallest 4-digit number which is exactly divisible by 72 and 108 is 1080.

What is LCM?

The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.

The Least common multiple of both the numbers 72 and 108 is 216. Since 216 is the least common multiple of both the numbers. Therefore, the four-digit number needs to be a multiple of 216 to be divisible by both the numbers. Thus, when 216 is multiplied by 5 the result is 1080, which is divisible by both 72 and 108. Hence, the smallest 4-digit number which is exactly divisible by 72 and 108 is 1080.

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Which triangles in the diagram are congruent?
70°
triangle 1
70°
triangle 3
OA triangle 1 and triangle 2
OB. triangle 1, triangle 2, and triangle 3
OC. triangle 1 and triangle 3
OD. triangle 1, triangle 3, and triangle 4
70°
triangle 2
#
triangle 4
Submit Test
Rea

Answers

Answer:

its e

Step-by-step explanation:

because e is is referring to savvy

You buy three bags of dog food that cost $27.99 each. Before tax, how much will you spend on dog food?

Answers

Answer:

83.97

Step-by-step equation:

Since there is 3 Bags of Dog food and each is 27.99, you want to multipy 27.99*3 to get your answer.

Which expression can be used to convert 22 Australian dollars to US dollars?

Assume 1.2 Australian dollars equals 1 US dollar.

Answers

Answer:

1.2x = 22x = 55/3 ≈ 18.3322 AUD = 18.33 USD

Step-by-step explanation:

1 USD - 1.2 AUD

x USD - 22 AUD

cross multiply

1.2 · x = 1 · 22

1.2x = 22

multiply both sides by 10

12x = 220

divide both sides by 12

x=55/3 ≈ 18.33

USD - United States dollar

AUD - Australian dollar

Which ordered pair makes both inequalities true?

y < –x + 1

y > x

On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, 0). Everything below and to the left of the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 1) and (1, 1). Everything above and to the left of the line is shaded.

(–3, 5)
(–2, 2)
(–1, –3)
(0, –1)

Answers

Answer:

-9

Step-by-step explanation:

-9

Please help! What is sin A?

Answers

Answer:

0.4706

Step-by-step explanation:

Using trigonometric formulas we know:

[tex]sin(x) = \frac{opposite}{hypotenuse}[/tex]

Here, our opposite is the side opposite to the angle A, which in this case is the line BC which is equal to 8.

The hypotenuse is the diagonal line, which in this case is AB, and this is equal to 17.

Therefore,

[tex]sinA = \frac{8}{17} =0.4706[/tex]

Our final answer is 0.4706.

Answer:

8/17= 0.4706 is the answers for the question

Step-by-step explanation:

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Mark's Digital Place has a compact digital camera at a price of $425, a 8 inch tablet for $540 and a
game console for $610. If you want to get an additional three years warranty, then you need to pay
15% extra on the original price and $50.
Daphne wants to buy a digital camera and a tablet to start a photography course. When she went into
the store, she found that the store id offering a discount of 5% on the camera and 80 on the tablet.
Daphne also want the additional three years warranty. How müch money does Daphne need to pay to
buy both the items with a three years additional warranty on each item?

Answers

Answer:

jjxfzhfxjgjhzjjjtxjxjxktxjtxjtxtxh

How to determine whether square root equation is always, sometimes , never, or true?

Answers

Answer:

While identity is true for all values of x, an equation may be true only for some values of x, or for no values of x. Examples: 2x + 6 = 4 is true when x = -1, but not when x = 0. The equation x + 5 = x is never true because a number is never equal to five more than itself.

Step-by-step explanation:

I hope this helps

GEOMETRY! 50 POINTS

Please explain as best as you can for the second part of the question, I dont understand how to do it.

Answers

The geometry is that the number of sides for a 15- gon is 15 sides and the angles are 156° each.

How to calculate the angle?

The total angles in a 15 gon will be calculated as:

= (n - 2) × 180

= (15 - 2) × 180

= 2340

The value of each angle will be:

= 2340/15

= 156°

The total angles in a 16 gon will be calculated as:

= (n - 2) × 180

= (16 - 2) × 180

= 2520

The value of each angle will be:

= 2520/16

= 157.5°

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help asap!!!!

Select the correct answer.
Which equation could represent the data in the table?

Answers

Answer:

A. y = 3x + 1

Explanation:

Find slope:

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{\triangle y}{\triangle x} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

Take two points: (0, 1), (1, 4)

[tex]\sf \rightarrow slope \ (m) : \dfrac{4-1}{1- 0 } = 3[/tex]

Equation:

[tex]\sf y - y_1 = m(x - x_1)[/tex]

[tex]\sf y - 1 = 3(x - 0)[/tex]

[tex]\sf y = 3x + 1[/tex]

Exit A bag contains 4 blue balls, 7 yellow balls and 4 white balls. Event A is defined as drawing a blue ball on the first draw and event B is defined as drawing a white ball on the second draw. If two balls are drawn from the bag, one after the other and not replaced, what is P(B|A) expressed in simplest form?
A. 2/7
B. 3/14
C. 4/15
D. 4/11
please hurry

Answers

P(B|A) expressed in simplest form is 4/15. Option C is correct answer.

What is Probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Here, probability of event A = 4/15

probability of event B = 4/15

P(B|A) = P(A ∩ B)/P(B)

P(A ∩ B) = P(A) X P(B)

= (4/15)(4/15)

= 16/225

Now, conditional probability;

P(B|A) = (16/225) / (4/15)

= (16/225)(15/4)

= (16 X 15) / (225 X 4)

= 4/15

Thus, P(B|A) expressed in simplest form is 4/15. Option C is correct answer.

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Preform the indicated operation.
(2x+y)(3 x² + y)

Answers

Answer:

[tex]6x^3+3x^2y+2xy+y^2[/tex]

Step-by-step explanations:

[tex](2x+y)(3x^2+y)\\2x*3x^2+2xy+3x^2y+y*y - Distribute\\6x^3+3x^2y+2xy+y^2 - Simplify[/tex]

Answer:

6x^3 + 2xy + 3x^ 2y + y^2

Step-by-step explanation:

Apply the distributive property of multiplication. First multiply (3x^2 + y) by 2, obtaining 6x^3 + 2xy, and then multiply (3x^2 + y) by y, obtaining

3x^2y + y^2. Finally, combine like terms (if any) in these two results:

6x^3 + 2xy + 3x^ 2y + y^2

40 points, please help lol

Answers

The simplified expression of [tex]x^{-2/3} . x^{6/7}[/tex] is [tex]x^{4/21}[/tex]

How to simplify an expression?

The expression [tex]x^{-2/3} . x^{6/7}[/tex] can be simplified as follows:

using law of indices,

xⁿ . xᵇ = xⁿ⁺ᵇ

Therefore,

[tex]x^{-2/3} . x^{6/7}[/tex] = [tex]x^{-2/3 + 6/7}[/tex]

[tex]x^{-2/3 + 6/7} = x^{ -14+18/ 21}[/tex]

[tex]x^{-2/3 + 6/7} = x^{ -14+18/ 21} = x^{4/21}[/tex]

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A rectangular prism has a base that is 4 m by 6 m and a height of 10 m. If all dimensions are doubled, what happens to the volume? Explain why he steps that you take to arrive your answer.

Answers

If we double the dimension the volume will be increased by 8 times, and the volume will be 1920 cubic m.

What is the Volume of a rectangular prism?

The Volume of rectangular prism = l×b×h

The volume of a prism,

V = L x B x H

V = 4 x 6 x 10

V = 240

When all the dimensions are doubled, the new volume will become

V1 =2L x 2B x 2H

V1 = 8(4 x 6 x 10)

V1 = 8(240)

V1 = 1920 cubic m

If we double the dimension the volume will be increased by 8 times, and the volume will be 1920 cubic m.

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Graph g(x)=|x−4|+3.\

Answers

I insert an image graphing the function.

Function:

[tex] \boxed{ \boxed{g(x) \: = \: |x \: - \: 4| \: + \: 3}}[/tex]

MissSpanish

What is the difference between normal definition of set and contors definition of set

Answers

Step-by-step explanation:

The collection of well defined object is called set

3% simple annual interest paid on $250

A 2-column table with 4 rows. Column 1 is labeled Year with entries 1, 2, 3, 4. Column 2 is labeled Total Interest Paid with entries question mark, 15 dollars, 22 dollars and 50 cents, question mark.

The simple interest earned in year 1 is calculated as
.
The simple interest earned in year 1 is
.
The total interest earned at the end of year 4 is
.

Answers

The simple interest earned in year 1 is 7.5. The simple interest earned in year 1 is $7.50. The total interest earned at the end of year 4 is $30.00

How to calculate a simple interest amount?

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, it is left for T years for that simple interest.

3% simple annual interest paid on $250

A 2-column table with 4 rows.

Column 1 is labeled Year with entries 1, 2, 3, 4.

Column 2 is labeled Total Interest Paid with an entries question mark, 15 dollars, 22 dollars, and 50 cents,

The simple interest earned in year 1 is calculated as

The first one is (0.03)(250) = 7.5

The simple interest earned in year 1 is

The second one is $7.50

The total interest earned at the end of year 4 is

The third one is $30.00

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How many solutions does the system have?
x + y = 5
x + y = 6
Onone
O one
O two
O infinite

Answers

Answer:

none

Step-by-step explanation:

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None because the interfere

7. Miguel draws a square on a coordinate plane. One vertex is located at (5, 4). The
length of each side is 3 units. Circle the letter by all the ordered pairs that could be
another vertex.
A. (5, 1)
B. (5, 7)
C. (7, 8)
D. (2, 6)
E. (2, 1)

Answers

Answer:

A, B and E

Step-by-step explanation:

Answer: A,B and E i did the test

Step-by-step explanation:

A quilt is designed using a square pattern. Each square contains two rectangles. Each rectangle contains a shaded rhombus.

Each rectangle contains a shaded rhombus. The left angle is 50 degrees and the top angle is (2 x + 20) degrees.

What is the value of x?

50
55
125
145

Answers

According to the computations, this rhombus's value of x is equal to 55°.

How can we calculate x's value?

The total of all the angles in a rhombus should be 360 ° because the opposing angles in a rhombus are always identical.

We may infer the preceding information from the rhombus's picture:

Neighboring angles= 2x+ 20 & 50°

Opposite angles=2x+ 20 & 50°

Combining the angles results in:

2x+20+50+2x+20+50=360

⇒4x+140= 360

⇒4x=360-140

⇒4x=220

⇒x=220/4

⇒x=55°

Hence, it is concluded that the value of x is (b) 55°.

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A biologist is studying the effects of using a type of bacteria to clear drain pipes. She creates a simulation of a typical kitchen drain system and
uses it regularly for three days before introducing the bacteria. She then carries out her simulation for another 15 days.
The population of bacteria can be approximated using function b, where dis the number of days since she started the experiment and (d) is the
bacteria population in hundreds.
b(d) = √5.2d-15.6 +2
Use this information to complete the statement.
The domain over which the bacteria population Increases is

Answers

The domain over which the bacteria population Increases is [tex]d \ge 3[/tex]

How to determine the domain?

The function is given as;

[tex]d = \sqrt{5.2d - 15.6} + 2[/tex]

Set the radicand greater than or equal to 0

[tex]5.2d - 15.6 \ge 0[/tex]

Add 15.6 to both sides

[tex]5.2d \ge 15.6[/tex]

Divide both sides by 5.2

[tex]d \ge 3[/tex]

Hence, the domain over which the bacteria population Increases is [tex]d \ge 3[/tex]