What is the value of x in the figure below if JW=17 and YW=3x+1
(will mark brainlest)
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Answer:
[tex]x = 11[/tex]
Step-by-step explanation:
Given
The attached parallelogram
[tex]JW = 17[/tex]
[tex]YW = 3x + 1[/tex]
Required
Find x
JW is the midpoint of YW. So:
[tex]YW = 2 * JW[/tex]
This gives
[tex]3x + 1 = 2 * 17[/tex]
[tex]3x + 1 = 34[/tex]
Subtract 1 from both sides
[tex]3x = 33[/tex]
Divide through by 2
[tex]x = 11[/tex]