Help would be appreciated : Tysm
1 answer:
The value of x is 9.
Solution:
Proportionality theorem:
<em>If a line is parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.</em>
In the given triangle, the middle line is parallel to the base, so the sides are in the same ratio.
Do cross multiplication.
⇒ 9 × 56 = 72(3x – 20)
⇒ 504 = 216 x – 1440
Add 1440 on both sides of the equation.
⇒ 1944 = 216 x
Divide by 216 on both sides of the equation.
⇒ 9 = x
Switch the sides.
⇒ x = 9
The value of x is 9.
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