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2 years ago

In ΔPQR, what is the m∠Q?.

Mathematics

2 answers:

charle [14.2K]2 years ago

7 0

The sum of the 3 inside angles of a triangle needs to equal 180:

11x-5 + 6x + 5 + c = 180

Combine like terms:

18x = 180

Divide both sides by 18:

X = 10

Solve for Q:

11x -5= 11(10) -5 = 110-5 = 105 degrees

Savatey [412]2 years ago

5 0

Answer:

105°

Step-by-step explanation:

Total angle = 180

x + (11x - 5) + (6x + 5) = 180

18x = 180

x = 10

m∠Q = 11(10) - 5 = 105

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2 years ago

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2 years ago

Solve for e 7(2e-1)-3=6+6e du

kramer

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3 years ago

The answer to this problem?

LenaWriter [7]

The simplified expression of $\sqrt{\frac{162x^9}{2x^{27}}}$ is $\frac{9}{x^9}$

<h3>How to simplify the expression?</h3>

The expression is given as:

$\sqrt{\frac{162x^9}{2x^{27}}}$

Divide 162 and 2 by 2

$\sqrt{\frac{81x^9}{x^{27}}}$

Take the square root of 81

$9\sqrt{\frac{x^9}{x^{27}}}$

Apply the quotient rule of indices

$9\sqrt{\frac{1}{x^{27-9}}}$

Evaluate the difference

$9\sqrt{\frac{1}{x^{18}}}$

Take the square root of x^18

$\frac{9}{x^9}$

Hence, the simplified expression of $\sqrt{\frac{162x^9}{2x^{27}}}$ is $\frac{9}{x^9}$