Question

MATHEMATICAL CONNECTIONS In the figure, ZYXW, ZX= 5x + 17, YW = 10 – 2x , and YX=3.

Answer 1

The measure of XW from the given diagram is 9. Since ZY = XW, hence ZY is also 9

Find the diagram of the question attached

From the diagram, ZY = XW

• ZY + YX = ZX
• YX + XW = YW

Subtract both expressions;

ZY - XW = ZX - YW

Since ZY = XW

The equation becomes XW - XW = ZX - YW

ZX - YW = 0

Given the following parameters

ZX = 5x + 17

YW = 10 - 2x

5x + 17 = 10 - 2x

5x + 2x = 10 - 17

7x = -7

x = -1

Get the measure of ZY and XW

XW = YW - YX

XW = 10 - 2x - 3

XW = -2x + 7

XW = -2(-1) + 7

XW = 2 + 7

XW = 9

Hence the measure of XW from the given diagram is 9. Since ZY = XW, hence ZY is also 9

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