Aservice station will be built on the highway, and a road will connect it with cray. how long will the new road be?
answer options: 40mi, 4.6mi, 5.4mi, 31.2mi

4.6 mi

Step-by-step explanation:

Suppose the points A, B, C and S shows Alba, Blare, Cray and Service station respectively,

Then, We have to find out the line segment CS = x = ?

Now, In the triangles ACB and CSB,

    ( Right angles )

     ( Reflexive angles )

Thus, by AA similarity postulate,

By the property of similar triangles,

Hence, the approximate length of the new road = 4.6 miles

its the fourth option

hello from mrbilldoesmath!

answer:

x - 3

discussion:

x^2 - 9 = (x-3) (x+3)   so

(x^2-9)/ (x + 3) = x-3

you,

mrb