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3 years ago

Find the measure of each angle indicated.

Mathematics

2 answers:

gavmur [86]3 years ago

8 0

Those are same side interior angles which means they are supplementary and add up to 180. 180-51=129. Missing angle equals 129.

bekas [8.4K]3 years ago

7 0

You have to decide all sides to figure out all the kissing pieces

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fgiga [73]

Answer:

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Step-by-step explanation:

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3 years ago

Which of these is a correct step in constructing congruent angles?

masya89 [10]

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3 years ago

Simplify cos^2 A/1+sin A

Stels [109]

Answer:

$\displaystyle \frac{\cos^2(A)}{1+\sin(A)}=1-\sin(A)$

Step-by-step explanation:

We want to simplify:

$\displaystyle \frac{\cos^2(A)}{1+\sin(A)}$

Recall the Pythagorean Identity:

$\sin^2(A)+\cos^2(A)=1$

So:

$\cos^2(A)=1-\sin^2(A)$

Substitute:

$\displaystyle =\frac{1-\sin^2(A)}{1+\sin(A)}$

Factor. We can use the difference of two squares pattern:

$\displaystyle =\frac{\left(1-\sin(A))(1+\sin(A))}{1+\sin(A)}$

Cancel. Hence:

$\displaystyle \frac{\cos^2(A)}{1+\sin(A)}=1-\sin(A)$

7 0

3 years ago

Convert the following radian angle into degrees.

NeTakaya

The degree of the radian angle 0.11 is $6.3^{\circ}$

Explanation:

It is given that the radian angle is 0.11

We need to determine the degrees of the radian angle.

To convert the radian into degrees, let us multiply the radian with $\left(\frac{180}{\pi}\right)$

Thus, we have,

$0.11\times\left(\frac{180}{\pi}\right)=\frac{19.8}{\pi}$

It is given that $\pi=3.14$

Substituting $\pi=3.14$ in the above expression, we have,

$\frac{19.8}{3.14} =6.303...$

Rounding off to the nearest tenth, we have,

$6.3^{\circ}$

Thus, the degree of the radian angle 0.11 is $6.3^{\circ}$

4 0

3 years ago

Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 poin

adell [148]

If AB and CD are parallel lines and PR is the transversal, then angle PRD = angle APR by alternate interior angle theorem.
Angle PRD = 120 degrees so, 65 + x = 120 degrees
120 - 65 = 55 degrees

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3 years ago