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alexdok [17]
4 years ago
9

Find the value of X

Mathematics
1 answer:
vredina [299]4 years ago
7 0

Answer:

x=8

RPS = 36

Step-by-step explanation:

QPS = 180

The two angles that form QPS

QPR + RPS = 180

7x+88 + 3x+12 = 180

Combine like terms

10x+100 =180

Subtract 100 from each side

10x = 180-100

10x = 80

Divide by 10

x =80/10

x = 8

RPS = 3x+12

        = 3(8)+12

         24+12

        36

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What is the midpoint of the segment that joins the points (-12, 12) and (-6, -1)?​
N76 [4]

Answer:

\boxed {\boxed {\sf ( -9, \frac{11}{2}) }}

Step-by-step explanation:

We are asked to find the midpoint of a segment. We essentially calculate the average of the x-coordinates and the y-coordinates using the following formula.

( \frac {x_1+x_2}{2}, \frac{ y_1 + y_2}{2})

In this formula, (x₁ , y₁) and (x₂ , y₂) are the endpoints of the segment. For this problem, the 2 endpoints are (-12, 12) and (-6, -1). If we match the variable and the corresponding value, we see that:

  • x₁= -12
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Substitute the values into the formula.

( \frac{-12 + -6}{2}, \frac{12 + -1} {2} )

Solve the numerators.

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( \frac{-18}{2}, \frac{11}{2})

Divide.

( -9, \frac{11}{2} )

The midpoint of the segment is \bold {( -9, \frac{11}{2} )}.

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3 years ago
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antoniya [11.8K]
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hope it helps
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3 years ago
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