Answer:
B. 4.5
Step-by-step explanation:
(6x + 42)° and (18x - 12)° are alternate interior angles. If line l is parallel to line m, therefore,
6x + 42 = 18x - 12
Solve for the value of x. Combine like terms.
6x - 18x = -42 - 12
-12x = -54
Divide both sides by -12
-12x/-12 = -54/-12
x = 4.5
Therefore, x = 4.5 would prove lines l and m are parallel to each other.
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Hope this helps
Answer:
17
Step-by-step explanation:
To obtain the tenth term, substitute n = 10 into the n th term formula, that is
n + 7 = 10 + 7 = 17 ← tenth term
You can multiply the second equation by -2
-5x + y = 15 everything by -2
10x - 2y = -30
now you can solve them
2x + 2y = -6
10x - 2y = -30
y cancels
2x= -6
10x = -30
12x = -36
/12. /12
x = -3
now to solve for y you substitute x for -3
-5(-3) + y = 15
15 + y = 15
-15 -15
y= 0
