Perimeter of one triangle is 5 8 of the perimeter of a similar triangle. the difference of the lengths of two corresponding sides is 9m. what are the lengths of these sides?

15 m and 24 m

Step-by-step explanation:

Let x represent the length of the longer side. Then 5/8x is the shorter side and the difference is x -5/8x = 3/8x.

You say the difference is 9 m, so ...

... 3/8x = 9 m

... x = (8/3)(9 m) = 24 m . . . . longer side

and the shorter side is (5/8)(24 m) = 15 m. . . . . shorter side

25

step-by-step explanation:

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.