Answer:
The answer to your question is:
x = 13
x + 10 = 23
5x - 42 = 23
Step-by-step explanation:
Data
angle 1 = x + 10
angle 2 = 5x - 42
They are vertical angles so, they measure the same.
x + 10 = 5x -42
x - 5x = -42 - 10
- 4x = -52
x = -52/-4
x = 13
angle 1 = x + 10 = 13 + 10 = 23
angle 2 = 5x - 42 = 5(13) -42 = 65 -42 = 23
The answer is D because it has the larger number and value. So that is the area of the circle.
Remark
A cube has six sides, all of them equal. The formula for 1 side is s^2. The formula for all six = 6s^2.
Step One
Find the surface area of the larger cube.
Area = 6 *s^2
s = 15
Area = 6 *15^2
Area = 6 * 225
Area = 1350
Step Two
Find the area of the smaller cube
Area = 6s^2
Area = 6 * 12^2
Area = 6 * 144
Area = 864
Step Three
Find the difference
Area1 - Area2 = difference
1350 - 864 = 486
The difference is area = 486 units^2 <<<<< Answer
There is a slightly shorter way. Take out the common factor of 6
Difference = 6 * (15^2 - 12^2)
Difference = 6 * (225 - 144)
Difference = 6 * (81)
Difference = 486
Answer:
Step-by-step explanation: