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3 years ago

What is measure angle H

Mathematics

1 answer:

Setler [38]3 years ago

4 0

Because ∠HML and ∠GMI are vertical angles, that have the same angle:

3x-10.

Also, ∠HML and ∠MHL add up to 3x+6, you can set up the equation:

3x-10+y=3x+6

y-10=6

y=16.

Therefore, ∠H has an angle of 16°.

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3 years ago

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Find the missing lengths of the sides.

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2 years ago

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1 year ago

Please help me with this problem, please

Harman [31]

Answer:

sin(x) = 5/13

cos(y) = 5/12

Therefore, sin(x) = cos(y)

Step-by-step explanation:

Trig ratios:

$sin(\theta)=\dfrac{O}{H}\\\\\\cos(\theta)=\dfrac{A}{H}\\\\\\tan(\theta)=\dfrac{O}{A}$

where $\theta$ is the angle, O is the measure of the side opposite the angle, A is the measure of the side adjacent to the angle and H is the hypotenuse, of a right triangle

We have been given the measures of the two legs, so we can find the measure of the hypotenuse by using Pythagoras' Theorem $a^2+b^2=c^2$

(where a and b are the legs and c is the hypotenuse of a right triangle)

$\implies 5^2+12^2=c"\\\\\implies 169=c^2\\\\\implies c=\sqrt{169}\\\\ \implies c=13$

Now we can use the trig ratios:

$\implies sin(x)=\dfrac{5}{13}$

$\implies cos(y)=\dfrac{5}{13}$

Therefore, sin(x) = cos(y)

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2 years ago