Question

What is the value of x?

A. 5
B. 2.5
C. 7.5
D. 10

Answer 1

here is the picture of the triangle

Answer 2

similar triangles
we can say that
\[x/(x+5)=(x-2)/(x+1)\]
because if we look at the 2 similar triangles, there is a common ratio between them
a side of the long triangle divided by a corresponding side from the short = another side from the long triangle divided by the corresponding side of that other side

Answer 3

the next step here is to isolate x from the denominator,
\[x/(x+5)=(x-2)/(x+1)\]
\[x(x+1)=(x+5)(x-2)\]

Answer 4

with me so far?

Answer 5

yep

Answer 6

\[x(x+1)=(x+5)(x-2)\]
\[x^2+x = x^2+5x-2x-10\]
\[x^2+x = x^2+3x-10\]
subtract both sides by x^2
think you can go from here?

Answer 7

yeah. thx so much

Answer 8

np