Darnelle drew this figure and the accompanying equations. w + x + y = 180 y + z = 180Which equation must also be true?
A
w + z = 180
B
y – x = w
C
w + x + z = 180
D
w + x = z

Answers

Answer 1
Answer:

Answer:

The correct option is D  w + x = z

Step-by-step explanation:

Consider the provided equations.

y + z = 180

Solve the equation for y.

y= 180-z

Now substitute the vlaue of y in w + x + y = 180

w + x + 180-z = 180

Subtract 180 from both sides.

w + x + 180-180-z = 180-180

w + x -z = 0

Add z to both sides.

w + x -z+z = z

w + x= z

Hence, the correct option is D  w + x = z

Answer 2
Answer: 180=w+x+y and 180=y+z so

w+x+y=z+y so subtract y from both sides

w+x=z

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Match the following problems with their answer, HELP ME PLEASE!!!!!

a potato chip company packages chest by stacking them into a tall cylindrical K which units are most appropriate for measuring the thickness of an individual chip​

Answers

Answer:

MIllimeters

Step-by-step explanation:

Its simple who measures this in inches or centimeters, or meters or anything else

I’ll give brainliest , 7th grade work .

Answers

Answer:

In order to properly answer this, we need to know the measurement of the pool in meters

Step-by-step explanation:

Answer: what are the numbers?

Step-by-step explanation:

2. In a certain year, solar and wind energy generation totaled 1037 Trillion Btu’s. Wind generated 56 Trillion Btu's more than eight times that generated by solar energy. How much was generated by each source?

Answers

The sum of solar energy can assumed as 'x', so it is easy to conclude that the sum of wind energy is '8x+56'. From the above assumption, we can easily get that 'x+8x+56=1037', to solve this equation and get tha

What is the perimeter of a triangle with vertices located at (-1, 4), (2, 7), and (1, 5), rounded to the nearest hundredth? A. 7.63 units B. 7.89 units C. 8.71 units D. 9.24 units

Answers

we are given with the points (-1,4), (2,7) and (1,5) as the sides of the triangle. The area of the triangle can be determined by determining first the length of the sides. Via distance formula, the sides are 3 sqrt 2, sqrt 5 and sqrt 5. The perimeter thus is equal to 8.71 units

The perimeter of a triangle with vertices located at (-1, 4), (2, 7), and (1, 5) is 8.71 units

How to determine the perimeter?

The coordinates are given as:

(-1, 4), (2, 7), and (1, 5)

Calculate the distance between these points using:

d = √((x_2 -x_1)^2 + (y_2 - y_1)^2)

So, we have:

AB = √((-1 -2)^2 + (4 - 7)^2) = 4.24

BC = √((2-1)^2 + (7 - 5)^2) = 2.24

AC = √((-1-1)^2 + (4 - 5)^2) = 2.24

The perimeter P is then calculated using:

P = 4.24 + 2.24 + 2.24

Evaluate the sum

P = 8.71

Hence, the perimeter of the triangle is 8.71 units

Read more about perimeter at:

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A square has a perimeter of 100cm What is the length of each side?

Answers

Answer:

each side of the square is 25cm

Step-by-step explanation:

this is because of two things:

1. a square has equal sides

2. the perimeter is all the sides added together.

so if you call the length of one side x, you can make this equation:

x + x + x + x = 100

combine like terms

4x = 100

divide both sides by 4

x = 100/4

x = 25

Answer:

25 cm

I hope this helps!

Find the student’s error in solving the following inequality.2 < –3x –4 < 5
6 < –3x < 5
–2 > x > –5/3

a.The student should have added 4 to all parts (left, middle, and right) to get 6 < –3x < 9.

b.The student divided 6/–3 incorrectly.

c.The student should not have switched the direction of the sign in the final step.

Answers

The second step is wrong because he did not add 4 to the number 5. Then the correct option is A.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The solution to inequality is given below.

Step 1 ⇒ 2 < –3x –4 < 5

Step 2 ⇒ 6 < –3x < 5

Step 3 ⇒ –2 > x > –5/3

The student should have added 4 to all parts (left, middle, and right) to get 6 < –3x < 9.


The second step is wrong because he did not add 4 to the number 5. Then the correct option is A.

More about the inequality link is given below.

brainly.com/question/19491153

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the answer is a, the students should have added 4 to all parts