The sides of a triangle are 8, 12, and 15. The longest side of a similar triangle is 18. What is the ratio of the perimeter of the smaller triangle to the perimeter of the larger triangle?

1

2:3

2

4.9

3

5:6

4

25.36

Step-by-step explanation:

Given

Smaller

Bigger

Required

The ratio of the perimeter of smaller to larger

The ratio of the perimeter is the same as the ratio of the side lengths.

Considering the largest, sides:

We have:

Divide by 3

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

2160ft3

step-by-step explanation: