Asquare playground is surrounded by a sidewalk on all sides. the sidewalk is 2n+3 yards long on each side of the park. the sidewalk is 0.5 yard wide. what is the perimeter of the playground?

Step-by-step explanation:

We are given the length of sidewalk of each side of the park =2n+3 yards.

Also, sidewalk is 0.5 yard wide from each side.

Therefore, length of a side of the square playground would be 0.5+0.5 on each side of side walk.

Therefore, length of a side of the square playground = 2n+3 -(0.5+0.5)

= 2n+3-1 = 2n+2.

The perimeter of the square = 4(side).

stops on an even number.

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.