Answer:
9. x=102
10. x=56
11. x=104
12. x=138
Step-by-step explanation:
9. In this problem, they are alternate exterior angles, meaning they are the same value. x=102
10. x is a corresponding angle, meaning they are the same. x=56
11. There are consecutive interior angles. The sum of these two angles is 180. to find x, subtract 76 from 180. 180-76 = 104 x = 104
12. These two angles are verticle angles, meaning they are equivalent. x = 138
4x + 2 - 3x + 5 - 2(x + 5) = (2x - 5) + (3x + 4)
4x + 2 - 3x + 5 - 2x - 10 = 2x - 5 + 3x + 4
4x - 3x - 2x + 5 + 2 - 10 = 2x + 3x - 5 + 4
- x - 3 = 5x - 1
-x - 3 = 5x - 1 is the line above recopied
+x = +x
-3 = 6x - 1
<span> +1 = + 1 </span>
- 2 = 6x
- 2/6 = 6x/6
- 1/3 = x, the answer
Answer:
R = -8 1/6
Step-by-step explanation:
We'll solve the given equation for R.
Subtract 3 1/2 from both sides of the equation, to isolate R:
R + 3 1/2 - 3 1/2 = -4 2/3 - 3 1/2, or
R = -4 2/3 - 3 1/2
The LCD here is 6, which is the product of 3 and 2. Converting the fractions to denominator 6, we get:
R = -4 4/6 - 3 3/6, or
R = -7 - 7/6, or R = -7 - 1 1/6, or -8 1/6
We can break down the number 6647 into:
6647=6000+600+40+7
The first 6 in the number is in the thousands place (6,000), and the second 6 is in the hundreds place (600).
The first 6 is 10 times greater than the second one.
105% as a decimal would be 1.05 in decimal form