The two angles are corresponding angles, so they are congruent (due to the horizontal lines being parallel)
x+15 = 102
x+15-15 = 102-15 .... subtract 15 from both sides
x = 87
Answer;-1.5238095238
First step; 8/15
8/15 = 0.53 and so on in a repeating form. (0.53333333333)
Divide; 0.53 / -0.35
= -1.5238095238
You add two equations together to eliminate a variable. This particular problem is nice, because it's already setup to eliminate X.
3x - 4y = 9
<span>-3x + 2y = 9
</span>
When we add these two together, 3x - 3x cancels each other out, leaving us with 0x, or nothing.
We continue with -4y + 2y (leaves us with -2y) and 9+9 (18).
-2y = 18
18/-2 = -9.
Now we have y = -9, and we can go back into the problems to solve for x.
<span>3x - 4(-9) = 9
</span>
3x + 36 = 9.
3x = -27
x = -9.
Confirm with the final equation:
-3(-9) + 2(-9) = 9
27 - 18 = 9
9 = 9 --- Confirmed.
Answer:
The equation c = 0.02p+149 represents micks commission.
Step-by-step explanation:
Given that:
Amount earned by Nick on sale of each boat = $149
Commission earned = 2% of the purchase price
p represent the purchase price
Commission earned = 
Commission earned = 0.02*p
Commission earned = 0.02p
Total commission = c = 0.02p + 149
Hence,
The equation c = 0.02p+149 represents micks commission.
Answer:
6 3/8 inches
Step-by-step explanation:
let 'x' = distance in 1 hr, 25 minutes (which is 85 minutes)
(3/8 ÷ 5) = x ÷ 85
cross-multiply:
5x = 255/8
40x = 255
x = 6 3/8
