Acar traveled at an average rate of 51 miles per hour on one highway. it then traveled at an average rate of 71 miles per hour on a second highway. if the car traveled a total of 508 miles in 8 hours, how many miles were driven on the first highway?

d1 = 51(t)

d2 = 71(8 - t)

d1 + d2 = 508

and now you just have to solve for t.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.