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jeka57 [31]
3 years ago
9

Triangle ABC is similar to triangle WYZ. select all angles whose tangent equals 3/4

Mathematics
1 answer:
neonofarm [45]3 years ago
6 0

Answer:

∠B

∠Y

Step-by-step explanation:

we know that

In the right triangle ABC

tan(B)=\frac{AC}{BC} ----> opposite side to angle B divided by the adjacent side to angle B

substitute the values

tan(B)=\frac{3}{4}

Remember that

If two triangles are similar, then the corresponding sides are proportional and the corresponding angles are congruent

so

∠A=∠W

∠B=∠Y

∠C=∠Z

therefore

tan(B)=tan(Y)

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If the rate of change is yx, then so is the constant of proportionality.  To simplify things, we set  yx=k, where k represents the constant of proportionality.  

If you solve a yx=k equation for y, (like this: y=kx), it is called a direct variation equation. In a direct variation equation, y varies directly with x. When x increases or decreases, y also increases or decreases by the same proportion.

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