The two labeled angles are alternate interior angles, and as such, they are the same.
From this result you can build the equation

and solve it for x: subtract 13x from both sides to get

and add 2 to both sides to get

Check: if we plug the value we found we have

So the angles are actually the same, as requested.
It would be the points (0,80) and (15,10)
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➷ The formula for circumference is 
1) 
Divide both sides by 
d = 9.99 (consider this to be 10)
Half this to find the radius
10/2 = 5
It would be figure B.
2) 
Divide both sides by
:
d = 11.99 (consider this to be 12)
Divide by 2 to find the radius:
12/2 = 6
It would be figure C.
3) area = 

r^2 = 48.97515909
r = 6.998 (consider this to be 7)
It would be figure D
4) 
r^2 = 35.98174
r = 5.998 (consider this to be 6)
It would be figure C.
5) radius = diameter / 2
radius = 3

It would be option C
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The value of x in tan(x)=sin38° is 31.6 and the value of x in cosec(x+10°)=1.345 is 38.0
<h3>How to solve the trigonometry ratios?</h3>
The equations are given as:
tan(x)=sin38°
cosec( x+10°)=1.345
In tan(x)=sin38°, we have:
tan(x)=0.6157
Take the arc tan of both sides
x = 31.6
Also, we have:
cosec(x+10°)=1.345
Take the inverse of both sides
sin(x+10°) = 0.7434
Take the arc sin of both sides
x+10 = 48.0
Subtract 10 from both sides
x = 38.0
Hence, the value of x in tan(x)=sin38° is 31.6 and the value of x in cosec(x+10°)=1.345 is 38.0
Read more about trigonometry ratios at:
brainly.com/question/11967894
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