2 years ago

Find the value of x.

Mathematics

1 answer:

slavikrds [6]2 years ago

3 0

Answer:

$x=11$

Step-by-step explanation:

we know that

The <u><em>Midpoint Theorem</em></u> states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side.

In this problem

$(x+5)=\frac{1}{2}(3x-1)$

solve for x

Multiply by 2 both sides

$2x+10=3x-1$

subtract 2x both sides

$10=3x-1-2x$

$10=x-1$

Adds 1 both sides

$x=11$

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