Respuesta :

Answer:

x = 9

Step-by-step explanation:

A line segment parallel to a side of a triangle and intersecting the other 2 sides divides the 2 sides in proportion, that is

[tex]\frac{9}{72}[/tex] = [tex]\frac{1}{8}[/tex] = [tex]\frac{3x-20}{56}[/tex] ( cross-  multiply )

8(3x - 20) = 56

24x - 160 = 56 ( add 160 to both sides )

24x = 216 ( divide both sides by 24 )

x = 9

imlittlestar

Answer:

The value of x = 9

Step-by-step explanation:

From the figure

we can see that, the middle line segment is parallel to one side of the triangle.Therefore we can write,

9/72 = (3x - 20)/56

9*56 = 72(3x -20) [cross multiplying]

56 = 8(3x - 20) [divided by 9]

7 = 3x - 20 [divided by 8]

3x - 20 = 7

3x = 27

x = 27/3 = 9

Therefore the value of x = 9

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