Anew bridge structure requires triangles that are in a ratio of 1: 1. if ac = 5x − 5 and ec = 3x + 9, find the distance between the top and bottom of the bridge, in feet.
a. 7 ft
b. 30 ft
c. 60 ft
d. 90 ft

Similar triangles have equal side lengths and measure of angles.

The distance between the top and bottom of the bridge, is 60 feet

The ratio of the triangle is 1 : 1.

So, we have:

This gives

Collect like terms

Divide both sides by 2

So, the required distance is:

Substitute 7 for x

Hence, the required distance is (c) 60 ft

Read more about distance at:

link

C. 60 ft

Step-by-step explanation:

If triangles ABC and EDC are in a 1:1 relation, they are congruent, and  

    AC = EC

5x - 5 = 3x + 9

    5x = 3x + 14

    2x = 14

      x = 7

AC = 5x + 5 = 5(7) - 5 = 35 - 5 = 30 ft

EC = 3x + 9 = 3(7) + 9 = 21 + 9 = 30 ft

Distance between top and bottom of bridge = AC + EC = 30 + 30 = 60 ft

answer: 230 miles ( vote ! )

step-by-step explanation:

180.39 minus 17.99 equals 162.4

then divide 162.4 by .80 to get 230

okay wait before i answer, is this for your points on a graph?