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2 years ago

Please help! I get how to do the first part I just don't get how to do the second part.

Mathematics

1 answer:

xz_007 [3.2K]2 years ago

7 0

9514 1404 393

Answer:

WX = 33

(x, y) = (2, 10)

Step-by-step explanation:

The hash marks tell you WX is a midline, so has the measure of the average of the two bases.

WX = (PQ +SR)/2 = (27 +39)/2 = 66/2

WX = 33

The hash marks also tell you ...

PW = WS

y +4x = 18 . . . . . . substitute the given expressions

and also

QX = XR

2y +x = 22 . . . . . substitute the given expressions

If you solve the first equation for y, you get ...

y = 18 -4x

Substituting that into the second equation gives ...

2(18-4x) +x = 22

36 -7x = 22 . . . . . . . simplify

14 = 7x . . . . . . . . . . . add 7x-22 to both sides

2 = x . . . . . . . . . . . . divide by 7

y = 18 -4(2) = 10 . . . find y using the above relation

The values of x and y are 2 and 10, respectively.

My favorite "quick and dirty" way to solve a set of linear equations is using a graphing calculator. It works well for integer solutions.

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