haleysoh7182 haleysoh7182

02-02-2021
Mathematics

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11. Find the value of x in the diagram below.

11 Find the value of x in the diagram below class=

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jimthompson5910 jimthompson5910

02-02-2021

Answer: x = 12

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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

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