Supplementary angles have a sum of 180°.
Let's say one of these angles has a measure

. The problem states that its supplemenbt is nine times this, so it has measure

.
We know that these angles together equal 180°, so we can write

.
We can solve for x.

If x = 18, then the has a measure of

, or 162°.
The volume of a cylinder is given by

Where
is the base area and h is the height.
So, if we call
the volumes with the original and the doubled area, we have

Since the height was doubled. We deduce that

So, if the height is doubled, the volume will double as well.
Answer:
The answer is 14 :)
Step-by-step explanation:
Answer:
Each pair of shoes cost 26$
Step-by-step explanation:
<em>find the total cost for shirts</em>
2 shirts * 12$ each
2 * 12 = 24
they spent 24$ on shirts
<em>create an equation</em>
24$ shirts + x$ shoes = 76$
24 + x = 76
<em>subtract 24 from both sides of the equation</em>
24 + x - 24 = 76 - 24
x = 76 - 24
x = 52
they bought 2 pairs of shoes that cost the same amount
52 = x + x
52 = 2x
<em>divide both sides of the equation</em>
52/2 = 2x/2
52/2 = x
26 = x
each pair of shoes cost 26$
The events are independent, because the events do not affect each other.