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BaLLatris [955]
3 years ago
5

One leg of a right triangle measures 6 inches. The remaining leg measures 6 square root of 3 inches. What is the measure of the

angle opposite the leg that is 6 inches long?
Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
4 0
Let
x---------> <span>the measure of the angle opposite the leg that is 6 inches long

we know that
tan x=opposite side angle x/adjacent side angle x
</span>opposite side angle x------> 6 in
adjacent side angle x-------> 6√3 in
<span>so
tan x=6/(6</span>√3)-----> x=1/√3------> √3/3
<span>x=arc tan(</span>√3/3)------> x=30°
<span>
the answer is
30</span>°<span>

</span>
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Alecsey [184]

Answer:

Step-by-step explanation:

(\sqrt{z} +\sqrt{22})(\sqrt{z} -\sqrt{22})=35

Subtract both sides from 35

(\sqrt{z}+\sqrt{22} (\sqrt{z} -\sqrt{22})-35=35-35

Simplify:

(\sqrt{z})^{2} -57=0

Factor (\sqrt{z})^{2}  -57: (\sqrt{z}+\sqrt{57}) (\sqrt{z}-\sqrt{57})=0

\sqrt{z} +\sqrt{57}=0    or    \sqrt{z}  -\sqrt{57}=0

\sqrt{z} +\sqrt{57} =0: No Solution for Z

\sqrt{z} -\sqrt{57} =0: z=57

Your answer will be z=57

and No solution

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3 years ago
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Answer:

Teo is 11 years old and Richard is 26 years old.

Step-by-step explanation:

Let R be the age of Richard and T be the age of Teo.

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The combined age of Teo and Richard is 37:

R+T=37

Richard is four years old than twice Teo's age:

R=2T+4

<u><em>Then, solve the equations:</em></u>

Substitute (2) to (1) and solve for T:

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Answer:

C; Substitution property

Step-by-step explanation:

Here, we want to find the justification that justifies the written equation;

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What we simply did is to substitute RS for XY in the second equation;

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