Answer:
r = 8
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
16 pi = 2 * pi r
Divide each side by 2 pi
16 pi /2 pi = 2 pi r / 2 pi
8 = r
The 3 angles form the straight line AB. A straight line equals 180 degrees.
The 3 angles when added together need to equal 180:
2x + 65 + (x + 65) = 180
Simplify by combining like terms:
3x + 130 = 180
Subtract 130 from both sides
3x = 50
Divide both sides by 3
X = 50/3
X = 16 2/3 (16.66667 as a repeating decimal)
Now you have x if you need to solve all the angles replace x with its value and sole:
2x = 2(16 2/3) = 33 1/3
X + 65 = 16 2/3 + 65 = 81 2/3
Answer:
$25.57
Step-by-step explanation:
First, you have to multiply $5.29 by 2 because she wants to spend $5.29 on 2 pairs of socks.
5.29 * 2 = $10.58
Then you want to add $10.58 and $14.99 together.
$10.58 + $14.99 = $25.57
4 and a fourth. This is because 2 * 32 is 64, then you need to divide 32 by 4 to get 8 left. I am sorry if I solved this incorrectly. Make sure to check with your coordinator ( teacher ) or parent to help solve this. 32 is divided into 4ths.