Answer:
z = 110
Step-by-step explanation:
The measure of an angle created by the intersection of two secants outside a circle is half the difference of the angles it intercepts. In this it would be:
2x + 15 = 1/2 * (10x + 20 - 80)
We can now solve:
4x + 30 = 10x - 60
30 = 6x - 60
6x = 90
x = 15
This means the values of 10x + 20 is 10(15) + 20, which is 170.
Now, we can add up all the arcs in a circle, which sum to 360 degrees:
360 = z + 170 + 80
360 = z + 250
z = 110
Answer:
8
Step-by-step explanation:
6*(n + 15) = -42
Divide both sides by 6
6*(n - 15)/6 = -42/6
n - 15 = -7
n = -7 + 15
n = 8
Sum of Interior Angles of any poligon, where n is the number of sides: =
(n-2) × 180°
---------------------
(7 - 2) * 180° =
5 * 180 =
900°
[d]
15 miles per hour is the answer because 2/1/2 divided by 1/6 is 15
