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PLEASE HELP!!! Find the value of the variable.

PLEASE HELP Find The Value Of The Variable class=

Sagot :

Sqdancefanidn

9514 1404 393

Answer:

  q = 9

Step-by-step explanation:

The angle bisector divides the triangle sides proportionally.

  q/36 = (16 -q)/28

  7q = 9(16 -q) . . . . . . multiply both sides by 252 (the LCM of 28 and 36)

  16q = 16(9) . . . . . . . . add 9q to both sides

  q = 9 . . . . . . . . . . . . . divide by 16

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Additional comment

We are given the sum of the segment lengths on the far left side. The proportion is the same for the sum of sides as it is for individual sides.

  (q/36) = 16/(36+28)

  q/36 = 16/64 = 1/4

  q = 36/4 = 9

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