Person 1 and Person 2 visited Washington D. C. for the weekend. Person 1 rode the metro train one stop, 5 times at the peak fare price and 3 times at the off peak fare price for a total cost of $21.00. Person 2 rode with Person 1, 4 times at the peak fare price and 2 times at the off peak fair price for a total cost of $16.00. How much was the peak fare price

The peak fare price is $3

Step-by-step explanation:

Let x represents the peak fare price and y represents the off peak fare price

We are given that Person 1 rode the metro train one stop, 5 times at the peak fare price and 3 times at the off peak fare price for a total cost of $21.00.

So, 5x+3y=21 ---1

We are also given that  Person 2 rode with Person 1, 4 times at the peak fare price and 2 times at the off peak fair price for a total cost of $16.00

So, 4x+2y=16 ---2

Substitute the value of x from 1 in 2

4x+2y=16

y=2

Substitute the value of y in 1

5x+3y=21

5x+3(2)=21

x=3

Hence The peak fare price is $3

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)

answer: i believe it’s 245.04

step-by-step explanation: