In the figure, △ABC ~ △DEF, ∡ABG ≅ ∡GBC, and ∡DEH ≅ ∡HEF. Solve for x.

Question

anonymous · Answer

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anonymous · Answer

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anonymous · Answer

@dpaInc

anonymous · Answer

can you help me out with a problem later, DA panic?

anonymous · Answer

sure @luisz .... hang on a bit...

anonymous · Answer

since the triangles are similar, you can set up a proportion to solve....

anonymous · Answer

$$\huge \frac{16}{26}=\frac{x+9}{2x+5} $$
try cross multiplying and solve....

anonymous · Answer

still need help?

anonymous · Answer

yea lol

hero · Answer

She needs help with the answers, lol

anonymous · Answer

shhh lol

anonymous · Answer

do you mean changing to mix fractions?

anonymous · Answer

let's try this then... after cross multiplying you'll end up with this equation...

anonymous · Answer

i dont know how to do any of this stuff

anonymous · Answer

hmmm... do you at least know some algebra?

anonymous · Answer

some

hero · Answer

Since the triangles are similar, you can, just by looking at them, tell which sides correspond.

hero · Answer

Courtney, you don't know how to cross multiply the proprotion dpalnc showed you? What he showed you was a pretty good hint.

anonymous · Answer

after cross multiplying you'll end up with tis equation:
$$\huge 16(2x+5)=26(x+9) $$
sorry courtney but i need to leave... can you take i from here?

anonymous · Answer

oops , sorry hero....