The original number is 72
(18+x)/6 = 1+14
1/6x + 3 = 1 + 14 (Distribute)
1/6x + 3 = (1+14) (Combine Like Terms)
1/6x + 3 = 15
- 3 = -3 (Subtract 3 From Both Sides)
1/6x = 12
(1/6x)*6 = 12 * 6 (Multiply Both Sides By 6)
x = 72
Answer:
Step-by-step explanation:
Answer:
None of these answers are correct.
Step-by-step explanation:
Perpendicular lines have opposite and reciprocal slopes, which means that we take the slope and we flip it. After we've done that, we change the sign.
Since the original slope is -7, first we flip it and get -1/7. Now we change the sign and get 1/7. Therefore, the perpendicular slope of this line would be 1/7
Because of the transversal and the parallel lines, we know that A+B=180°.
So:
5x + 20 + 9x - 92 = 180
14x - 72 = 180
14x = 180 + 72
14x = 252
x = 252/14
x = 18
A = 5x + 20
A = 5*18 + 20
A = 90 + 20 = 110
(Let’s check:
B = 9*18 - 92
B = 162 - 92
B = 70
70 + 110 = 180)
