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

hey! so 1 (25) out of 4 (100) is 25 so your answer is 25%. it's like quarters!

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc