3 years ago

Point Y is the midpoint of segment XZ. If XY = 2(3x +1) and YZ = 5x + 22, find the value of x.

Mathematics

1 answer:

Ede4ka [16]3 years ago

6 0

<h3>Point Y is the midpoint of segment XZ. Then value of x is 20</h3>

<em><u>Solution:</u></em>

Given that,

<em><u>Point Y is the midpoint of segment XZ</u></em>

XY = 2(3x +1)

YZ = 5x + 22

To find: Value of x

Since, Point Y is the midpoint of segment XZ,

Therefore,

XY = YZ

2(3x + 1) = 5x + 22

6x + 2 = 5x + 22

6x - 5x = 22 - 2

Thus, value of x is 20

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