Question

A

X
Find the value of x.
D
X+2
x = [?]
B
3
E
2
C
PLS HELP

Answer 1

Explanation:

Since these two are similar triangles, we can set up a proportion, and solve for x.

x is to 2, as x+x+2 is to 3+2 :

`(x)/(2)=(2x+2)/(5)`

Now solve for x, by cross multiplying

x*5=2(2x+2)

5x=4x+4

Subtract by 4x on both sides

x=4

Set up a ratio to see if the answer's correct:

`(4)/(2)=(6)/(3)`

`2=2`

Since the ratios are equal, x=4.

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