Answer:
WORDS: The value of x is 15.
EQUATION: x = 15
Step-by-step explanation:
1. AB is a straight line therefore angles AOF, FOG, and GOB total 180º
2. If ∠FOG = 90º, AOF + GOB = 90º by subtraction & substitution property
3. 5x - 15 + 2x = 90 (now solve) --> by substitution
4. 7x - 15 = 90 --> by C.L.T. or <u>C</u>ombine <u>L</u>ike <u>T</u>erms
5. 7x = 105 --> by C.L.T. or <u>C</u>ombine <u>L</u>ike <u>T</u>erms
6. x = 15 --> by inverse operations (division)
Hope this helps!
<span>A composite number, we remember, is a whole number (no decimals or fractions) that can evenly divide (again, into no fractions or decimals) into two numbers other than itself and 1 (sort of the opposite of a prime number).
So, 8 needs to be one of the two numbers. Pick another number--any whole number--and multiply it by 8. The result will be your composite number.
Two examples: 8 times 6 equals 48. This works as 48 divided by 8 equals 6, both of which are whole numbers other than 48. Another is 72, the product of 8 times 9.</span>