And show the steps

a hertz rent-a-car is a car agency charges $40 for one day plus $0.10 per mile to rent a full-size car. enterprise rent-a-car charges $18 for one day plus $0.20 cents per mile to rent the same car. how many miles could you drive in one day that would result in the final bill to be the same from both companies?

which linear equation could you write for hertz rent-a-car if x = number of miles driven and y = total cost?

select one:
a. y = .10x + 40

b. y = 10x + 40

c. y = .3x + 58

d. none of these

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12