danysainvil214oruqv7 danysainvil214oruqv7

06-11-2019
Mathematics

contestada

2. The length of XZ is 28 units. If XY = 2x + 2 and YZ = 9x – 7, what are the lengths of XY and
YZ? Show your work. (10 points)
X Y

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SvetkaChem SvetkaChem

06-11-2019

Answer:

XY = 8 and YZ = 20

Step-by-step explanation:

If XY and YZ are on the one line, we can write

XY + YZ = 28

(2x+2) + (9x - 7) = 28

2x+2 + 9x - 7 = 28

11x - 5 = 28

11x = 33

x = 3

XY = 2x+2 = 2*3 + 2 = 8

YZ = 9x - 7 = 9*3 - 7 = 27 - 7 = 20

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