97.7k views
0 votes
11. Find the value of x in the diagram below.

11. Find the value of x in the diagram below.-example-1
User Sxddhxrthx
by
7.8k points

1 Answer

10 votes

Answer: x = 12

=====================================================

Step-by-step explanation:

Points Z and Y are midpoints of segments SR and RQ respectively.

These points form the midsegment ZY.

SQ is twice as long compared to YZ, since the midsegment is half as long as the side parallel to it.

We can then say...

SQ = 2*(YZ)

3x-8 = 2*(x+2)

3x-8 = 2x+4

3x-2x = 4+8

x = 12

User Mkmostafa
by
8.2k points