kristasearles
kristasearles kristasearles
  • 03-01-2018
  • Mathematics
contestada

Geometry (17)

Study Guide

Find the value of x.

Geometry 17 Study Guide Find the value of x class=

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jimthompson5910 jimthompson5910
  • 04-01-2018
The two triangles are similar. The two marked sides 16 and 2x-6 are connected in such a way that the longer side (16) is exactly twice as long as the shorter side (2x-6)

In other words
longer side = 2*(shorter side)
16 = 2*(2x-6)

Let's solve for x
16 = 2*(2x-6)
16 = 2*2x+2(-6)
16 = 4x - 12
4x - 12 = 16
4x - 12+12 = 16+12
4x = 28
4x/4 = 28/4
x = 7 which is the answer
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