SOMEONE PLEASE HELP‼️‼️‼️ILL MARK BRAINLYEST WHAT EVER IT IS CALLED PLEASE ‼️‼️‼️
1. Find the value of x in the figure below if GH is parallel to JK.

A. 4 units
B. 9.8 units
C. 6.7 units
D. 5 units

SOMEONE PLEASE HELPILL MARK BRAINLYEST WHAT EVER IT IS CALLED PLEASE 1 Find the value of x in the figure below if GH is parallel to JK A 4 units B 98 units C 67 class=

Respuesta :

Answer:

  D.  5 units

Step-by-step explanation:

The parallel segments divide the slant segments proportionally:

  7.5/10.5 = x/7

  x = 7(7.5/10.5) = 5 . . . . . multiply by 7

The value of x is 5 units.

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If you want to use corresponding sides of similar triangles, you get the same result. ΔIGH ~ ΔIJK

  IJ/IG = IK/IH

  7/(7+10.5) = x/(x+7.5) . . . . substitute shown values

  7(x +7.5) = 17.5x . . . . . . . cross multiply

  7(7.5) = 10.5x . . . . . . . . . subtract 7x

 x = 7(7.5/10.5) = 5 . . . . . divide by the coefficient of x