Answer:
d = -3e
Step-by-step explanation:
hope this helps
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Answer:
p = -2/5 or 3/8
Step-by-step explanation:
|5 − 3p| + 9 = 13p + 8
|5 − 3p| = 13p − 1
If 5 − 3p is positive:
5 − 3p = 13p − 1
6 = 16p
p = 3/8
If 5 − 3p is negative:
-(5 − 3p) = 13p − 1
-5 + 3p = 13p − 1
-4 = 10p
p = -2/5
Alternatively, we can square both sides of the equation:
(5 − 3p)² = (13p − 1)²
25 − 30p + 9p² = 169p² − 26p + 1
0 = 160p² + 4p − 24
0 = 40p² + p − 6
0 = (5p + 2) (8p − 3)
p = -2/5 or 3/8
Answer:
Step-by-step explanation:
Simplify
6 + -3x = 5x + -10x + 8
terms:
6 + -3x = 8 + 5x + -10x
Combining like terms: 5x + -10x = -5x
6 + -3x = 8 + -5x
Solving
6 + -3x = 8 + -5x
Move all terms containing x to the left, all other terms to the right. (Remember)
Add '5x' to each side of the equation.
6 + -3x + 5x = 8 + -5x + 5x
Combine the like terms -3x + 5x = 2x
6 + 2x = 8 + -5x + 5x
Combine the like terms again -5x + 5x = 0
6 + 2x = 8 + 0
6 + 2x = 8
Then '-6' to each side of the equation.
6 + -6 + 2x = 8 + -6
Combine the like terms: 6 + -6 = 0
0 + 2x = 8 + -6
2x = 8 + -6
Combine the like terms: 8 + -6 = 2
2x = 2
Then divide each side by '2'.
x = 1
Simplifying
x = 1
Angle C and the 112 degree angle are supplementary, so angle C measures 180-112=68 degrees.
This means that by the exterior angle theorem, 
