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salantis [7]
3 years ago
11

Felice knows that segment RS || segment QT. She wants to use the definition of a parallelogram to prove that the quadrilateral i

s a parallelogram. Which equation can she use?

Mathematics
1 answer:
tangare [24]3 years ago
8 0

Answer:

  see below

Step-by-step explanation:

The definition of a parallelogram is that opposite sides of the quadrilateral are parallel. Felice already knows one pair of opposite sides is parallel. By showing the slope of RQ is the same as the slope of ST, she can show the other pair of opposite sides is parallel, hence the figure is a parallelogram.

__

The other answer choices are essentially nonsense.

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The variable y is directly proportional to the variable x. If y = 32 when x = 20, what is the value of x when y = 40?
elena55 [62]

Answer:

The Correct option is C ) 25

Therefore the value of x is 25 when y =40.

Step-by-step explanation:

Given:

Variable 'y' is directly proportional to the variable 'x'.

\therefore y=kx     ......Direct Variation

Where,

k = Constant of proportionality

To Find:

value of x = ? when y = 40

Solution:

First we need to find Constant of proportionality

When x = 20 and y = 32

Substituting the values we get

32=k\times 20\\k=\dfrac{32}{20}=1.6\\\\k=1.6

Now when k =1.6 , y = 40 then x will be

40=1.6\times x\\\\x=\dfrac{40}{1.6}=25\\\\x=25

Therefore the value of x is 25 when y =40.

6 0
4 years ago
Help ill give 5 stars if correct
Step2247 [10]

Answer:

7 1/4

Step-by-step explanation:

12 3/4- 5 1/2

4 0
2 years ago
What is the value of "y" that satisfies the expression below?
olchik [2.2K]

Answer:

<h2>1.20</h2>

Step-by-step explanation:

1y + 12 = 6 (1y + 1)

1y + 12= 6y + 6

12 - 6 = 6y - 1y

6 = 5y

y = 6/5

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I don't what you meant by rounding to 2 decimal points so my answer is

<h2>1.20</h2>
4 0
2 years ago
Solve 5(2 - x) = 7x - 26 Input ONLY the value of x.
Alexxx [7]

Answer:

x = 3

Step-by-step explanation:

5(2 - x) = 7x - 26

Distribute;

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Add 5x to both sides;

10 = 12x - 26

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x = 3

8 0
3 years ago
Find the length of line segment A (-2,3) B (2, 1)
Gekata [30.6K]
Find the distance between points A-2; 3, B2; 1:

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= √<span>(2 - (-2))2 + (1 - 3)2</span> = 

= √<span>42 + (-2)2</span> = √16 + 4 =


<span>= <span>√20</span><span><span> </span></span></span>
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3 years ago
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