<em>∠PYG = 137°</em>
Step-by-step explanation:
We know that a straight line is equal to 180°, so by looking at the image we can tell that if we added both of these angles together they would be equal to the straight line.
We can make an equation by adding these two angles together and setting them equal to 180.

We can combine like terms.

Subtract 244 from both sides.

Divide.
<em><u>p = -8</u></em>
Now that we have found what p is equal to, we can plug it in to find the measure of ∠PYG.

<em><u>= 137</u></em>
~
If you wanted to double check this answer, we can plug in -8 for p on the other side and make sure both would be equal to 180.
Like this...

= 43
And we know that...
137 + 43 = 180
~
So...
<u><em>∠PYG = 137°</em></u>
<u><em>∠HYG = 43°</em></u>
Answer:
Not similar -- shape B has been streched, these shapes are neither similar or congruent.
Step-by-step explanation:
It’s neither, and this is because the slope is not opposite or the same, the same y intercept yes...but there isn’t any parallel or perpendicular features...you can see this when you graph it :)
radius* 2=diameter so no diameter and radius aren't the same thing because radius is half the distance across the circle and diameter is the full distance across the circle.
Answer:
sin A = 13/85
Step-by-step explanation:
Opposite Angle A is side BC, of length 13. The length of the hypotenuse is 85. The sine function is defined as the ratio opp/hyp. In this problem that ratio is
opp
------ = sin A = 13/85
hyp
We use the inverse sine function arcsin x to determine Angle A:
A = arcsin 13/85 = 8.8 degrees