We have 2 angles that are supplementary, so their sum equals 180⁰.
(4x - 10) + (7x - 8) =180
11x - 18 = 180
11x = 198
x = 18
hold up I’ll answer in a moment
Is there any choices .......
Total miles = 70 + 70 = 140 miles
Total time = 140 miles / 57 mph = 2.456 hours
Time 1: 70 miles / 70 mph = 1 hour
Time 2: 70 miles / x mph
Total time = time 1 + time 2:
2.456 = 1 hour + 70/x
Subtract 1 hour from both sides:
1.456 = 70x
multiply both sides by x:
1.456x = 70
Divide both sides by 1.456:
x = 70/1.456
x = 48.0769 miles per hour
Rounded to 2 dp = 48.08 miles per hour
2/3 of 18 is 12, so peter gave 12 cookies to his friend.