Answer:
D is the right one im 100% sure on it
Step-by-step explanation:
Answer:
x = 8*root3
y = 16
Step-by-step explanation:
You can use tangent and cosine of 60° to find x and y, BUT THERE'S A SHORTCUT. You pointed out that its a 30°-60°-90° triangle. That is a special right triangle. Here's the shortcut:
the longest side (hypotenuse) is double the shortest side. We have an 8 on the shortest side, so the hypotenuse (longest side) is 16. This ALWAYS works for 30°-60°-90° triangles!
Another shortcut:
The longer leg is the shorter leg × root3.
This ALWAYS works on 30°-60°-90° triangles.
So on your triangle, the short side is 8, that means the longer leg is 8×root3.
ta-daaaa!
Answer:
B) m∠ A'B'C' = m∠ABC
Step-by-step explanation:
A rotation does not change angle measure or side length. It preserves congruence.
This means that the image angle, A'B'C', will be congruent to the pre-image angle, ABC.
Answer:
A= 37 degrees
C= 43 degrees
Step-by-step explanation:
Hey there!
So this question looks a lot more complicated than it really is.
Complementary angles are the same.
Supplementary angles add up to 180 degrees or in other words a straight line.
If A and B are complementary and B equals 37 degrees, than A is also 37 degrees.
To find C, all we would do is subtract 37 from 180 to find the leftover amount.
180-37=43
So, in conclusion:
A= 37 degrees
C= 43 degrees
Hoped this helped! :D
Comment if you have any further questions!
Well, the amount of degrees is 1,980, so plug that in so that the equation is 1980 = (n-2)180. Then, do order of operations. Divide 1980/180, which is 11. Then, just add 2. So, the polygon has 13 sides.
