Answer:
If the transversal cuts across parallel lines (the usual case) then alternate exterior angles have the same measure. So in the figure above, as you move points A or B, the two alternate angles shown always have the same measure.
Step-by-step explanation:
Hope this helps
We know that
DF is the diameter of the circle
so
radius r=DF/2----->20/2-----> r=10 in
area of the circle=pi*r²------> pi*10²-----> 100*pi in²-----> 314 in²
the answer is
100*pi in² or 314 in²
Answer:
A
Step-by-step explanation:
how long is the ball in the air ?
that is the same as asking : after how many seconds will the ball hit the ground (= reach the height of 0) ?
so, that means we need to find the zero solution of h(t).
at what t is h(t) = 0 ?
when at least one of the factors is 0 :
2(-2 - 4t)(2t - 5)
we have 3 factors
2 : can never be 0.
(-2 -4t) : can only be 0 for negative t, which does not make sense in our scenario (we cannot go back in time, only forward).
(2t - 5) : is 0 when 2t = 5 or t = 2.5
so, A is the right answer.
FYI : the starting height (on the hill) is given by t = 0 :
2(-2 - 0)(0 - 5) = 2×-2×-5 = 20 ft
Given:
The given number is:

To find:
The product of prime factors of given number.
Solution:
We have,

The prime factors of given number are:
<u>2 | 96</u>
<u>2 | 48</u>
<u>2 | 24</u>
<u>2 | 12</u>
<u>2 | 6</u>
<u>3 | 3</u>
| 1
So, 96 can be written as:

Therefore, the 96 as the product of prime factors is
.
If the measure of each exterior angle is 24, the measure of each interior angle is then 180-24=156
the sum of the interior angles of a polygon is (n-2)*180, n is the number of sides
(n-2)*180=156*n
180n-360=156n
24n=360
n=15
the polygon has 15 sides