1 Remove parentheses.
2(5c−7)≥c−3
2 Expand.
10c−14 ≥ c −3
3 Add 14 to both sides.
10c-14+14≥ c − 3+14
4 Simplify c−3+14 to c+11
10c≥c+11
5 Subtract c from both sides.
10c−c≥11
6 Simplify 10c−c to 9c
9c≥11
7 Divide both sides by 9.
c ≥11/9
Answer:
The solutions are x = -7, 6.
Step-by-step explanation:
To find the solutions, move everything to one side of the equation so the equation is equal to 0. Then factor. Set the factors equal to 0 and solve for x.
x+7 = 0
x = -7
and
x-6 = 0
x = 6
The solutions are x = -7, 6.
These two lines create vertical angles, which are congruent. That means angle z = 60 degrees. Since angle z and the angle represented by the expression 6x + 60 are supplementary (they are adjacent angles that add to equal 180 degrees), you can set up the following equation to find x:
6x + 60 + 60 = 180
6x + 120 = 180
6x = 60
x = 10
Answers:
x = 10
z = 60
Answer:
72°
Step-by-step explanation:
You correctly found x, but the measure of the angle is ...
4x-22 = 4·23.5-22 = 72°
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or (6x-69)° = (141-69)° = 72°
