Answer:
x = 53
Step-by-step explanation:
The two angles identified are alternate exterior angles. Since the lines are parallel, alternate exterior angles are equal.
2x+15 = 3x-38
Subtract 2x from each side
2x-2x+15 = 3x-2x-38
15 = x-38
Add 38 to each side
15+38 = x-38+38
53 = x
9 x ≥ 117
Divide both sides by 9 :
9 x / 9 ≥ 117 / 9
x = 117 / 9
x ≥ 13
hope this helps!
First calculate the function of x-2y=6:
x-2y=6 | - x
-2y=6-x | ÷ (-2)
y=0.5x-3
Now you have the function. Because the slope you search is parallel to this one, the slope is the same (in this case 0.5). A slope of 0.5 means for 2 steps to the right go one up. To define the function you are searching you have to find out the y intercept. For this take your point (-2|4). Now go as many steps to the right until you reach the y intercept or x=0 in this case you need 2 steps. So for 2 steps right you go one up. Now you have the y intercept (5).
The resulting function is: f(x) = 0.5+6.
Part time job Allowance 20/wk
3 h fri
6 h sat
total 92.00 find: per hr part time
92-20=72
3+6=9
72/9 = $8 part time per hour