Answer:
Sum of interior angles = 720°
One interior angle = 120°
Step-by-step explanation:
Sum of interior angles = 180°(n-2)
Where n is the number of sides in a polygon
Therefore, one angle in a regular polygon will be (180°(n-2))÷n
Hence
Sum of interior angles= 180°(6-2)
= 720°
One interior angle = 720°÷6
= 120°
The Law of Cosines features the 3 side lengths of a triangle, plus the measure of the angle opposite one of those sides.
We want angle x, which is opposite the side of length 39.
Then: a^2 = b^2 - 2ab cos C becomes 39^2 = 36^2 + 59^2 - 2(36)(59)cos x
or 1521 = 3481 + 1296 - 2(36)(59) cos x
Subtract (3481+1296) from both sides: 1521 - 4777 = -4248cos x
-3256 = -4248cos x
-3256
Then: cosx = --------------- = 0.766
-4248
Solving for x: x = arccos -0.766 = 0.698 radian, or 40 degrees (answer)
find unit rate:
36 / 6 = 6
she can ride 6 miles in 1 hour
I would say the third asnwer, so 90 degrees :)
Answer: C
Step-by-step explanation:
Okay first set a comparison since the two triangles are similar
x-1/20=x-1+27/3x+8
x-1/20 = x+26/3x+8
cross multiply
20x+520=3x^2+8x-3x-8
3x^2-15x-528=0
3(x^2-5x-176)=0
im kinda lazy to factor this out so i used an online calculator right here but factor it out like a good kid
x=16, x=-11
it has to be positive so x=16
C