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