De
d
e
is a midsegment of △abc
△
a
b
c
. find the values of x
x
and y
y
.

Value of x is, 15

Step-by-step explanation:

Given: DE = 5x and BC = 11x -15

Mid-segment theorem states that  it connecting two sides of a triangle is parallel to the third side and is half as long.

In triangle ABC,

D is the midpoint of AB and E is the midpoint of AC as shown in the figure below.

So, DE is the mid-segment.

Therefore, by Mid-Segment theorem;

Substitute:

Multiply both sides by 2 we get;

Simplify:

Subtract 11x from both sides we get

10x -11 x = 11x -15 - 11x

Simplify:

- x = -15

or

x = 15

Therefore, the value of x is, 15

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Step-by-step explanation:

the correct answer is the second option