Need help with this problem its really complicated for me
1 answer:
You can write a proportion because the two triangles are similar
=
(the second fraction is longer because I added the full lengths of the larger triangle) cross multiply to get (x)(x + 1 + x - 2) = (x - 2)(x + x + 5)
which simplifies to (x)(2x - 1) = (x - 2)(2x + 5)
then 2x² - x = 2x² + 5x -4x - 10
then 2x² - x = 2x² + x - 10
then 2x² = 2x² + 2x - 10
subtract 2x² from both sides to get 0 = 2x - 10
add 10 to both sides to get 10 = 2x
divide both sides by 2 to get 5 = x
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Answer:
Step-by-step explanation:
Recall what the relationship between cosine and secant:
In other words, secant is the reciprocal of cosine.
So, if we know cosine, we only need to find its reciprocal to find secant.
We are given that cosine is:
Then secant must be:
So:
Square:
And we're done!