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sergey [27]
3 years ago
5

What is the value of x in the drawings if we know the triangles are similar?

Mathematics
2 answers:
kobusy [5.1K]3 years ago
8 0
That would be B. 30 ft
15/3=x/6
Solve for x you get x=30
shepuryov [24]3 years ago
3 0

Answer:

Step-by-step explanation:

setup a proportion

                               Big Triangle             Small Triangle

corresponding              15                              3

corresponding               x                               6

so you are trying to solve 15/x=3/6

cross multiply 6(15)=3(x)

last step divide both sides by 3 giving x=30 ft

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4 years ago
Help! If you know this can you tell me how to do it?
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Answer:

c

Step-by-step explanation:

Here's how this works:

Get everything together into one fraction by finding the LCD and doing the math.  The LCD is sin(x) cos(x).  Multiplying that in to each term looks like this:

[sin(x)cos(x)]\frac{sin(x)}{cos(x)}+[sin(x)cos(x)]\frac{cos(x)}{sin(x)} =?

In the first term, the cos(x)'s cancel out, and in the second term the sin(x)'s cancel out, leaving:

\frac{sin^2(x)}{sin(x)cos(x)}+\frac{cos^2(x)}{sin(x)cos(x)}=?

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We could separate that fraction into 2:

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