Line d is parallel to line c in the figure below. Parallel lines d and c are intersected by lines q and p to form 2 triangles. At lines d and p, the angle is 2, at d and q, the angle is 1, and at q and p the angle is 3. At lines c and q, the angle is 4, at p and c, the angle is 5, and the third angle is 6. Which statements about the figure are true? Select three options. Vertical angles prove that Angle 2 is congruent to angle 5. In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles. Vertical angles prove that Angle 3 is congruent to angle 6. The triangles are similar because alternate interior angles are congruent. In the two similar triangles, Angle 2 and Angle 4 are corresponding angles. The triangles are similar because corresponding sides are congruent.

Answers

Answer 1

Answer:

Its the 2nd, 3rd, and 4th answer.

Step-by-step explanation:

i figured it out cause i did somehow

Answer 2

Answer:

it is 2 3 and 4 on edge 2021

Step-by-step explanation:

have a good day because i said so but mostly because you want to....ok bye love you


Related Questions

Use the discriminant to determine the number of real solutions to the quadratic equation. −u2+2u−5=0 What is the number of real solutions? Select the correct answer below: 0 1 2

Answers

Sqrt (4-4*-1*-5), = plus or minus 4i

Answer: None, 0 real roots

Step-by-step explanation:

To find the discriminant, you simply do [tex]b^2 - 4ac[/tex]

b = 2

a = -1

c = -5

[tex]2^2-4(-1)(-5) = 4 - 20 = -16[/tex]

iff x > 0: 2 roots

iff x < 0: none

iff x = 0: 1 root

Actual Explanation and Intuition behind it:

If the answer is negative, you cant take the square root of the number. Because no matter what, you will always strive for a positive number. Unless you implement calculus, but that is way beyond a middle schoolers level

If the answer is postive, there will be 2 roots because you can make x itself equal to a negative number because when you square it, it will be positive. So the positive and negative value will be an acceptable answer

If the answer is 0, then youre basically doing the square root of 0. Thats equal to 0

The discriminant formula itself comes straight from the quadratic formula, which you should memorize because it is extremely useful.[tex]\frac{-b (+/-) \sqrt{b^2-4ac} }{2a}[/tex]

=)))))))))))))))))))))))))​

Answers

Answer:

c

Step-by-step explanation:

-10x is less than or equal to 40

x is greater than or equal to -4

flip the signs when you divide by a negative #

identify the parts of the expression then write a word expression for the numerical or algebraic expression.

Please explain and only answer if you are completly sure about your answer.


Due in 20 minutes!!!!​

Answers

Answer:

the answer is-

Step-by-step explanation:

b added to 12 times x.

the plus sign is given for addition and 12x is equivalent to 12×x or 12 timesc

Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25. If x represents the smallest integer, then which equation could be used to solve the problem?

Answers

The three consecutive odd integers : 7, 9, 11

Further explanation

Algebraic expressions in mathematics are a combination of coefficients, numbers, variables, constants and arithmetic operations such as addition, subtraction, multiplication, and division.

The main composition of algebraic expressions are:

• 1. phrases

algebraic forms separated by arithmetic operations

consists of one phrase (monomial) to many phrases (polynomial)

• 2. variable

is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.

• 3. constants

is a fixed value, can be a number

• 4. arithmetic operations

+ , - , : , x

integer number: numbers consist of positive, negative and 0 numbers

Odd number: Any integer that cannot be divided by 2.

The last digit is 1, 3, 5, 7 or 9

Because it is divided by 2, the difference between the two numbers is also 2 for consecutive numbers

Then consecutive odd numbers can be symbolized:

x, x + 2, x + 4, x + 6, x + 8, etc.

For example, 3 consecutive odd numbers are:

x + 4, x + 6, x + 8

the sum of the largest and twice the smallest is 25, can be expressed in terms of arithmetic operations:

(x + 8) + 2 (x + 4) = 25

So the solution:

x + 8 + 2x + 8 = 25

3x + 16 = 25

3x = 9

x = 3

So the smallest number is:

= x + 4

= 3 + 4

= 7

or

Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25. If x represents the smallest integer, then which equation could be used to solve the problem? 2x + x + 2 = 25 2x + x + 4 = 25 2x + 2x + 4 = 25.

Answer:

The three integers are 7, 9, 11.

The equation is: 2x + x + 4 = 25

Step-by-step explanation:

The problem asks to use x to represent the smallest of the three integers.

Odd integers are 2 units apart, such as 1, 3, 5, 7. The difference between consecutive odd integers is 2.

Since the smallest odd integer is x, then the next larger one is x + 2. The largest odd integer is x + 2 + 2, or x + 4.

The three odd integers are

x, x + 2, x + 4

The problem then states "the sum of the largest and twice the smallest is 25."

The largest one is x + 4.

Twice the smallest is 2x.

Their sum is 2x + x + 4.

That sum equals 25.

2x + x + 4 = 25

3x + 4 = 25

3x = 21

x = 7

The smallest integer is 7.

Then x + 2 = 7 + 2 = 9,

and x + 4 = 7 + 4 = 11.

Answer: The three integers are 7, 9, 11.

The equation is: 2x + x + 4 = 25

Which number line best shows the position of 113?
13
+
+
+
+
-3
-4
-2
-1
0
1
2
3
4.
13
a
+
+
+
+
1
+
2
-4
-3
-2
-1
0
2
3
4
113
++
+
-4
-3
-2
-1
0
1
2
3
4
13
+
-5
-3
-2
-1
0
1
2.
3
4
5

Answers

This question is a little wonky about its format and structure. Hope you have a great day still!

Which ordered pair lies on the function f(x) = x^2 + 3?
Question 7 options:

A)

(–1,–4)

B)

(1,–4)

C)

(–1,4)

D)

(–4,–1)

Answers

B lies on the function

Answer:

c

Step-by-step explanation:

The radius of a circle is 7m. Find the circumference to the nearest tenth(urgent)

Answers

Answer:

The circumference of the circle is 43.96m. This number rounded to the nearest tenth would make the circumference 44m.

Step-by-step explanation:

First, we must know the formula for finding the circumference of a circle.

[tex]Circumference = d\pi[/tex]

We are given the radius. In order to find the diameter, then we have to multiply the radius by 2 because the radius is half the size of the diameter.

7 * 2 = 14

Now, let's plug in 14 into our formula. We will 3.14 for pi.

[tex]Circumference=(14)\pi[/tex]

[tex]Circumference=43.96[/tex]

This number rounded to the nearest tenth is 44.

Answer:

Answer is 44 m

Answer is rounded to the nearest tenth place.

Step-by-step explanation:

[tex]given \: that \\ radius \: of \: circle \: (r) = 7 \: m \\ we \: know \: that \\ circumference \: = 2\pi \: r \\ on \: substituting \: r = 7 \: m \: in \: formula \\ we \: get \\ circumference \: = 2\pi \times 7 \\ = 14\pi \\ substitute \: \pi = \frac{22}{7} \\ = 14 \times \frac{22}{7} \\ = 2 \times 22 \\ = 44 \: m \\ answer \: is \: rounded \: to \: nearest \: tenth.[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

ESTIMATED AND EXACT ANSWERS. Find the answers to these division problems. Use
compatible numbers to check your answer's accuracy. Look back to Lesson Three if you need
help with compatible numbers. (2 points each)
10. 903.6 - 25.1
Exact Answer:
Estimate:
11. 760.38 +0.38
Exact Answer:
Estimate:

Answers

Answer

10) 36

11)2001

Step-by-step explanation:

Answer:

10. 36 (exact answer), 30 or 30.16 (estimated answer).

11. 2001 (exact answer), Undefined, or 1900 (estimated answer).

Step-by-step explanation:

For number 10, the exact answer is 36 and the estimated is 30 or 30.16. Why?

-To have the exact answer we have to divide 903.6  ÷ 25.1 = 36.  

-To have the estimated answer we have to round 903.6 and 25.1, as 903.6 is close to 900 and not 1,000, and 25.1 is close to 30 and not to 20. The equation is 900  ÷ 30 = 30.

-To make sure that the exact answer is correct, we have to multiple 25.1 and 36 = 903.6.

-To make sure that the estimated answer is correct, we have to multiple 30 and 30 = 900.

-But there's a problem, they can be two answers for the estimated answer 1). 30, and 2). 36.16. Process: 904 ÷ 25 = 36.16. Why? As they are decimal points, it may be that we have to round them but not the whole number, but the question doesn't specify how we have to round them, so I'm not so clear about it.

For number 11, the exact answer is 2001 the estimated is 1900 or Undefined. Why?

-To have the exact answer we have to divide 760.38  ÷ 0.38 = 2001.

-To have the estimated answer for the undefined we have to round 760.38 and 0.38, as 760.38 is close to 800 and not to 700, and 0.38 is close to 0 (0.00) and not to 1 (1.00). The equation is 800 ÷ 0.00 = Undefined.

-To make sure that the exact answer is correct, we have to multiple 2001 and 0.38 = 760.38.

-But there's a problem, they can be two answers for the estimated answer 1). Undefined, and 2). 19. Process: 760  ÷ 0.40 = 1900. Why? As they are decimal points, it may be that we have to round them but not the whole number, but the question doesn't specify how we have to round them, so I'm not so clear about it.

Question 4(Multiple Choice Worth 1 points)

(06.04 MC)

A conference room is in the shape of a rectangle. Its floor has a length of (x − 4) meters and a width of (3x − 1) meters:

(x − 4)(3x − 1)

Which of the following simplified expressions represents the area of the floor of the conference room in square meters?

x2 − 13x + 4
3x2 − 13x + 4
3x2 − 11x + 4
x2 − 12x + 4

Answers

Answer:

[tex]3x^2-13x+4[/tex]

Step-by-step explanation:

[tex](x - 4)(3x - 1)[/tex]

[tex]3x^2-1x-12x+4[/tex]

[tex]3x^2-13x+4[/tex]

i) A fish tank measures 1m long by 40cm wide and 60cm height.
What is the capacity of the fish tank?
ii) How many litres of water does it take to fill it three quarters full ?


Answers

Answer:

1. The capacity of the water tank = 240 litres

2. So it will take 180 litres to fill it three quarters full.

Step-by-step explanation:

Dimensions of a water tank:

1 Meter=100 CM

Length (l) = 100 cm,

wide (w) = 40 cm,

Depth (h)= 60 cm,

Volume of the tank (V)

LWH

100 cm × 40 cm × 60 cm

240,000 cm³

The capacity of the water tank = 240,000 cm³ / 240 litres

(240,000*3)/4 = 180,000 cm3

So it will take 180 litres to fill it three quarters full.

how to find an unknown angle in a quadrilateral

Answers

Subtract the sum of the angles from 180 degrees to get the missing angle. For example if a triangle in a quadrilateral had the angles of 30 and 50 degrees, you would have a third angle equal to 100 degrees (180 - 80 = 100).

Solve for x:
11(x+2)+3(x+4)=34

Answers

Answer:

x=0

Step-by-step explanation:

first remove parentheses 11x + 22 + 3x +12 =34

then cancel equal terms 14x + 34 = 34

divide both sides by 14 14x = 0

solution x = 0

question in attachment

Answers

Answer:

a₁ = 3

Step-by-step explanation:

The sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]

where a₁ is the first term and r the common ratio

Here [tex]S_{6}[/tex] = 189 and r = 2, thus

[tex]\frac{a_{1}(2^{6}-1) }{2-1}[/tex] = 189, that is

a₁( 64 - 1) = 189

63a₁ = 189 ( divide both sides by 63 )

a₁ = 3

The line y=15x Intersex the quadratic function y=15x^2 at two points. what are the coordinates of the two points of intersection?

Answers

Answer:

D

Step-by-step explanation:

we can set up the equation as 15x = 15x^2

factoring we get

15x(x-1) = 0

So the solutions are when x are 0 and 1

this gives the coordinates

(0,0) and (1,15)

Inductive reasoning is when someone uses lots of data to make a conjecture

A. True
B. False

Please answer this I need help now

Answers

The answer to that question is true

The answer to that question is true.

We have given that,

Inductive reasoning is when someone uses lots of data to make a conjecture.

What is the Inductive?

Inductive is most often used to describe a kind of reasoning or logic where general theories are formed from specific examples or incidents.

We have to determine whether the statement is true or false.

The answer to that question is true.

To learn more about the inductive visit:

https://brainly.com/question/860494

#SPJ2

Please answer this ASAP!!

Answers

Answer: The cost to buy all the paint he needs = [tex]\pounds \ 176.70\ .[/tex]

Step-by-step explanation:

Formula: Area of trapezium = [tex]\dfrac{1}{2}(a+b)h[/tex], where a and b are the parallel sides and h is the height.

From the given figure of trapezium, we have

a = 10 m

b = 16 m

h = 7.6 m

Then, area of trapezium floor = [tex]\dfrac{1}{2}(10+16)(7.6)=\dfrac{1}{2}(26)(7.6)=98.8\ m^2[/tex]

Also, 1 litre paint is required to paint and area of [tex]1.9\ m^2[/tex].

Then, the amount of paint required to paint [tex]98.8\ m^2[/tex] area = [tex](98.8\ m^2)\div(1.9\ m^2)[/tex]

[tex]= 52[/tex] litres

Since cost if 5 litres of paint = [tex]\pounds\ 16.99[/tex]

then cost of 1 liter paint = [tex]\pounds \dfrac{16.99}{ 5}=\pounds 3.398[/tex]

Then, cost of 52 litres of paint = [tex]52\times3.398=\pounds \ 176.696\approx\pounds\ 176.70[/tex]

Hence, the cost to buy all the paint he needs = [tex]\pounds \ 176.70\ .[/tex]

a circle has a circumfence of 3.14 units what is the diameter of this circle ?

Answers

Answer:

Step-by-step explanation:

I will give brainiest answer

Answers

Answer:

≈ 64.43 cm²

Step-by-step explanation:

Subtract the area of the circle from the area of the rectangle.

area of rectangle = 7 × 11 = 77 cm²

area of circle = πr² = π × 2² = 4π cm²

Thus

area of shaded region = 77 - 4π ≈ 64.43 cm² ( to nearest hundredth )

Answer:

The answer might be 64.43 CM. I hope this helps. Please tell me if you get it right or wrong.

Step-by-step explanation:

Box 1: Dimensions: x by 3x by x3 Area of base = x(3x) = 3x2 Box 2: Dimensions: x by 4x – 1 by x3 Area of base = x(4x – 1) = 4x2 – x Complete the statements about the number of terms in the polynomial representing the volume of each box. Box 1's volume will be a Box 2's volume will be a . Explain your reasoning.

Answers

Answer:

Box 1's  volume will be a monomial

Box 2's volume will be a binomial

Explain your reasoning:

Box 1’s volume is modeled by a monomial times a monomial, so it will be a monomial.  Box 2’s volume is modeled by a monomial times a binomial, so it will be a binomial.

Step-by-step explanation:

Feel free to copy and paste! Hope this helps! Have a great day!

BTW...If you have any questions for school...any grade level, any subject...just comment or ask. I will be sure to answer as soon as I can!!  <3

The volume of a box is the amount of space it can occupy.

Box 1's volume will be a monomialBox 2's volume will be a binomial

The given parameters are:

Dimensions of box 1: x by 3x by x^3

Dimensions of box 2: x by 4x - 1 by x^3

The volume of the box is calculated by multiplying the dimensions.

So, we have:

Box 1

[tex]V_1 = x \times 3x \times x^3[/tex]

[tex]V_1 = 3x^5[/tex]

Box 2

[tex]V_2 = x \times (4x - 1) \times x^3[/tex]

[tex]V_2 = (4x - 1) \times x^4[/tex]

Open brackets

[tex]V_2 = 4x^5 - x^4[/tex]

After calculating the volumes, we have:

[tex]V_1 = 3x^5[/tex] ---- box 1

[tex]V_2 = 4x^5 - x^4[/tex] ---- box 2

Hence,

The volume of box 1 is monomial, because it has 1 termThe volume of box 2 is binomial, because it has 2 terms

Read more about volumes at:

https://brainly.com/question/15861918

Determine the value of x in the figure. answers: A) x = 9 B) x = 6 C) x = 4.5 D) x = 3

Answers

Answer:

D

Step-by-step explanation:

The marks through each of the sides of the triangle denote that all of the side lengths of the triangle are equal, or that it is an equilateral triangle. Therefore:

7x+9=x+27

6x+9=27

6x=18

x=3

Therefore, the correct answer is choice D. Hope this helps!

Answer:

x=3

Step-by-step explanation:

The sides are the same length

x+27 = 7x+9

Subtract x from each side

x+27-x = 7x-x+9

27 = 6x+9

Subtract 9 from each side

27-9 = 6x

18 = 6x

Divide by 6

18/6 = 6x/6

3 =x

You are making bracelets to sell. Each bracelet has two different colors of
beads. You have blue, silver, black, and purple beads. Which of these
strategies would you be most likely to use in planning the different bracelets
you can sell?

A. Find a pattern.
B. Guess and check.
C. Work backward.
D. Make a list.

Answers

Answer:

D. Make a list

Step-by-step explanation:

Answer:

D. Make a list

Step-by-step explanation:

You can tell that this is the correct answer just by the wording. First, guess and check doesn't make sense as a strategy by which to plan which bracelets you can sell. Neither does working backwards. Finding a pattern doesn't apply to this sort of thing. So therefore, the answer is make a list.

Find the sum of the first 31 terms of the following series, to the nearest integer.
5,14,23,..

Answers

Answer:

Step-by-step explanation:

5+14 is 19

19+23 is 4242

Here is a number machine. Write down an expression for the output if the imput is n. input=n) (+2) (x3) (output=?

Answers

Answer:

3n+6

Hope this helps you

Answer:

3n+6

Step-by-step explanation:

The random numbers below represent 15 trials of a basketball simulation conducted using a spinner numbered 0–8. 76645, 46757, 28334, 81357, 52453, 21761, 51537, 62385, 62135, 16687, 41662, 27135, 45445, 33858, 86427 Let the number 1 represent a 3-point basket and the numbers 2–8 represent 2-point baskets. Based on the simulation, what is the probability that at least one of the next 5 baskets made by the team is a 3-pointer? A. 6/15 B. 8/15 C. 5/15 D. 7/15

Answers

Answer: Option D.

Step-by-step explanation:

Out of the 15 simulations, the number with a 1 in them is 7. (are the sets of 5 shots that have at least one 3-pointer)

So out of 15 sets, 7 of them have at least one 3-point in them.

the experimental probability is p = 7/15.

So the correct option is D.

Which expression is equal to (−3x2−2)(4x2+1)? −12x4−11x2−2 −12x4−5x2−2 −12x2−11x−2 12x4−11x2−2

Answers

Answer:

[tex]-12x^4-11x^2-2[/tex]

Explanation:

Step 1 - Expand

[tex](-3x^2-2)(4x^2+1)[/tex]

[tex]-12x^4-3x^2-8x^2-2[/tex]

Step 2 - Combine like terms

[tex]-12x^4-3x^2-8x^2-2[/tex]

[tex]-12x^4-11x^2-2[/tex]

Therefore, the expression that is equal to [tex](-3x^2-2)(4x^2+1)[/tex] is [tex]-12x^4-11x^2-2[/tex].

Answer:

On Edge, the answer is D. 31x2 – 2.

Blake used b blocks to build a bridge. Bridget used 6 more than 3 times as many blocks as Blake did to build a bridge. Which expression represents how many blocks Bridget used?
A) b+(3x6)
B) b+3+6
C) 3(b+6)
D) 3b+6

Answers

Answer:

c

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Three times is 3 x b + 6

Help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

x=36

Step-by-step explanation:

3x+2x=180 (because they're supplementary angles)

5x=180

x=36


7. Bud and his friends stopped at a local fast food restaurant after the football game Friday night. Bud ate a one-fourth pound cheeseburger and a large order of fries. The cheese
30 grams of total fat. If the recommended daily allowance of total fat for a 2,000 calorie diet is 64 grams, what percent of the daily allowance did Bud have when he ate the cheeseburger​

Answers

Answer:

46.875 %

Step-by-step explanation:

30 grams of fat out of 64 grams

30/64 =.46875

Change to percent form

46.875 %

Answer:46.875

Step-by-step explanation:

Which word describes the slope of the line?
O positive
O negative
O zero
O undefined

Answers

Answer:

positive

Step-by-step explanation:

the line is tilting up (you read it from left to right)

The slope of the line is, O positive.

What is slope?

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

from the given graph,

we get,

the straight line is in the positive direction.

Hence, The slope of the line is, O positive.

To learn more on slope click:

brainly.com/question/3605446

#SPJ2


What is the probability that a single card chosen from a complete deck of cards is not an ace or a King? ( with explanation )

Answers

Answer:

84.6%

Step-by-step explanation:

There ae 52 cards in a standard deck there are 4 aces and 4 kings in each deck

therefore

52-8 =44, 44 cards that are not kings or aces

therefore the probability is

44/52 = 0.846153846*100 = 84.615%

There the chances are 44/52 or 84.6%

Answer:

11/13 or 84.62%

Step-by-step explanation:

There are 52 cards in a standard deck. There are 4 aces and 4 kings, 8 total. Subtract 8 from 52 to find the amount of cards that are not aces or kings:

52 - 8 = 44

Therefore, the probability of choosing a card that is not an ace or a king is 44/52, which can be simplified to 11/13. This can also be expressed as a percentage: approximately 84.62%.

Hope this helps! Please feel free to ask me any questions :)

Other Questions
"The Price King Auto Mall pays their sales staff by commission. They are paid a percent of the profit the dealership makes on each sold car. If the profit is $900 or less, the commission rate is 18%. If the profit is great than $900 and less than or equal to $1,500, the commission rate is 20% of the profit. If the profit is higher than $1,500, the rate is 25% of the profit. Jared sold a car that made a profit of $2500. What is the amount of commission he will receive RuRodolfo has 15 toys in the toy box and he had to new toys everyone based on this information which representation that shows the relationship between the number of toys Which factors affect the strength of electric force between two charged objects? Here is a list of numbers 17 21 14 17 12 15 16 A) work out the range of the numbers B) work out the mean of the numbers in the list Se hacen reaccionar 100 g del agente oxidante con 25 g del agente reductor, segn la reaccin REDOX LaTeX: N_2\left(g\right)+H_2\left(g\right)\longrightarrow NH_3\left(g\right)N 2 ( g ) + H 2 ( g ) N H 3 ( g ) Indique el reactivo en exceso y los gramos de amoniaco formado, si la eficiencia del proceso es del 80 % Joe is revising his essay. Joe is revising for __________ Asbestosis is a lung disease caused by inhaling asbestos fibers. The US Department of Health and Human Services considers a particular form of asbestos to be a carcinogen. The composition of this form of asbestos is 26.31% Mg, 20.20% Is, 1.45% H and the rest of the mass is due to oxygen. The molar mass of the compound is 277 g/mol. What is the molecular formula for the carcinogenic form of asbestos Mountain climber Joe climbed to a mountain peak that was1200 feet above its base and 1500 feet east of its base. Mountain climber Bob climbed to a mountain peak that was 900 feet above its base and 1000 feet east of its base.Who climbed a steeper mountain? Explain. Solve the inequality for y. How did the ancient Egyptians demonstrate their belief in life after death?a.They believed in only one god.b.They preserved the bodies of their dead.c.They became famous warriors.d.They did not think the bodies of the dead should be preserved. What is the circumference and area of a circle in which the diameter of the circle is 16 feet A company plans to manufacture a rectangular box with a square base, an open top, and a volume of 452 cm3. The cost of the material for the base is 0.4 cents per square centimeter, and the cost of the material for the sides is 0.6 cents per square centimeter. Determine the dimensions of the box that will minimize the cost of manufacturing it. What is the minimum cost Which best paraphrases why the prince is angry with Capulet and Montague?Their servants were left unattended on the street.They were supposed to come see him on this day.Their families have recently started three street fights.They were supposed to leave the town of Verona. Lines l and m are parallel. Parallel lines l and m are intersected by lines s and t. At the intersection of lines l, s, and t, clockwise from the top left, the angles are blank, 50 degrees, (x + 25) degrees, (2 x) degrees, 1, blank. Lines t, s, and m create a triangle with angles 1, 2, 3. Using the diagram, determine which statements are true. Select all that apply. m1 = 50 m3 = (2x + x + 25) m2 = (x + 25) m1 + m2 + m3 = 180 50 + 2x+ x + 25 = 180 HELPP MEEWhich image illustrates the desired interaction of a sound wave withsoundproofing material in a recording studio? The table below relates to a study where infants listened to three types of music in utero and their advancement to crawling/walking was then observed and categorized as either early, on time, or late. The goal of the study was to determine if there was a statistically significant association between music in utero and time of advancement to crawling/walking in infants. Advancement to Crawling/WalkingRow Sample Sizes Music In UteroEarlyOn TimeLateN Mozart(Piano Sonata)50.8%30.2%19.0%63 Philip Glass (minimalist music)40.0%38.3%21.7%60 White Noiseand Silence17.9%21.1%61.0%44 The table above provides row percentages and sample sizes. For example, 50.8% of Mozart infants have Early advancement to crawling/walking and there are 63 total Mozart infants. a.Based upon the row percentages provided, fill in the contingency table below with the approximate cell counts, rounding to the nearest whole number. Advancement to Crawling/Walking Music In UteroEarlyOn TimeLate Mozart(Piano Sonata) Philip Glass (minimalist music) White Noiseand Silence Do the data indicate an association between music in utero and time of advancement to crawling/walking in infants? Conduct an appropriate hypothesis test to answer this question using a 0.05 significance level. Provide the hypotheses, test statistic(s), p-value(s), and a formal conclusion. (Hint: Use Chi-Square test). Scenario: A homeowner was at his house at 10 p.m at the time of the incident. He told police he heard banging and glass break from the back of his house. The homeowner grabbed his gun and killed his 7-year-old son who accidentally locked himself out of the house. Under the Stand Your Ground Laws, the homeowner has the right to protect his property. Should the homeowner face charges of murder being that his son lived at the same home? Why or why not? A box contains 56 balls. The probability of selecting a red ball at random is 5/7. How many balls in the box are not red? After 3 years of being in an intimate relationship with her boyfriend, Susan realizes that although she still feels passion for her boyfriend, she now desires to simply have him close to her. She cares for him a lot and has deep feelings for him. In this scenario, Susan is most likely experiencing:________a. affectionate love.b. romantic love.c. fatuous love.d. passionate love. For every 4 hours of babysitting, Sam charges $30. If last month she earned $75, how many hours did she babysit ?