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damaskus [11]
3 years ago
15

I need help on this.

Mathematics
2 answers:
mihalych1998 [28]3 years ago
8 0

To start, we know that an isosceles trapezoid means that the length of P to Q is equal to the length of S to R. Therefore, taking that P is at (0,0), we can say that the distance formula from P to Q is equal to the distance formula from R to S. Our formulas are then \sqrt{(a-0)^2+(b-0)^2} = \sqrt{(g-c)^2+(b-0)^2} if we take that g is the x value for R and b is the y value for R, seeing that Q and R are on the same Y value. Therefore, if we square both sides, we figure out that a²=(g-c)² and a=√(g-c)², so a is either equal to g-c or c-g. As the x value of R is clearly lower than the X value of S, and a is positive, we can take that a=c-g. Thus, because we want to solve for g, or the x value of R, we can add g to both sides to get g+a=c. Then, we can subtract a from both sides to get g=c-a, so you can put a as your answer.


Feel free to ask further questions, and Happy Holidays!

densk [106]3 years ago
7 0

Answer:R(c-a,b)

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = (  \frac{x1 + x2}{2} , \:  \frac{y1 + y2}{2} )\\

From the question we have

m = ( \frac{2 + 10}{2} \:  , \:  \frac{6 + 8}{2} ) \\  =  (\frac{12}{2}  \: , \:  \frac{14}{2} ) \:  \:  \:  \:  \:  \:  \:

We have the final answer as

<h3>( 6 , 7 )</h3>

Hope this helps you

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