Goodluck on your math test
Answer:
m∠AEC = 139°
Step-by-step explanation:
To make the equations easier to write, let's say all measures are in degrees, and define ...
p = m∠AEB = 11x -12
q = m∠CED = m∠CEB = 4x +1
Then ...
p + 2q = 180
(11x -12) + 2(4x +1) = 180
19x -10 = 180 . . . . . . . . . . . . collect terms
19x = 190 . . . . . . . . add 10
x = 10 . . . . . . . . . . . divide by 19
p = 11x -12 = 110 -12 = 98
q = 40 +1 = 41
The angle of interest is ...
m∠AEC = p +q = 98 +41
m∠AEC = 139 . . . . degrees
B. 15:12, 15 to 12, 15/12
Problem #3
d). The rate of change is 7. I got my answer by using the slope formula: y2 - y1
----------- = 35 - 21
x2 - x1 -------------- = 14
5 - 3 ----- = 7.
2
This means that for every 2 driveways he shovels, he earns 14 dollars.
