Mr. Leonard is renting a car for one day. The table below shows the total amount he will be charged for the car based on the num
ber of miles he drives.
Which equation best represents c, the number of dollars Mr. Leonard should be charged for driving m miles?
a
c = 30m + 0.10
b
c = 30m + 0.50
c
c = 0.1m + 30
d
c = 0.5m + 30
Which equation best represents c, the number of dollars Mr. Leonard should be charged for driving m miles?
a
c = 30m + 0.10
b
c = 30m + 0.50
c
c = 0.1m + 30
d
c = 0.5m + 30
1 answer:
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*see attachement for diagram
Answer:
∠P = 140°; ∠S = 40°
Step-by-step explanation:
The figure given is a parallelogram.
Consecutive angles (adjacent angles) of a parallelogram are supplementary.
Therefore:
(x + 15)° + (6x - 10)° = 180°
Solve for x
x + 15 + 6x - 10 = 180
Add like terms
7x + 5 = 180
7x = 180 - 5
7x = 175
x = 175/7
x = 25
✔️m<P = m<R = 6x - 10 (opposite angles of a parallelogram are congruent)
m<P = 6x - 10
Plug in the value of x
m<P = 6(25) - 10 = 140°
✔️m<S = m<Q = x + 15 (opposite angles of a parallelogram are congruent)
m<S = x + 15 = 25 + 15 = 40°
