Aplayground is 50-feet long by 30-feet wide. the length and width of the playground will each be increased by the same number of feet. the following expression represents the perimeter of the larger playground:

(x + 50) + (x + 30) + (x + 50) + (x + 30)

which expression is equivalent to the expression for the perimeter of the larger playground?
a) (x + 50) + (x + 30)
b) 4x + 40
c) 4(x + 40)
d) 4(x + 160)

Option C is correct

4(x+40)

Step-by-step explanation:

Perimeter(P) of rectangle is given by:

where, l is the length and w is the width of the rectangle.

As per the statement:

A playground is 50-feet long by 30-feet wide.

The length and width of the playground will each be increased by the same number of feet.

The following expression represents the perimeter of the larger playground is:

(x + 50) + (x + 30) + (x + 50) + (x + 30)

first Remove parenthesis:

x + 50+ x + 30 + x + 50+ x + 30

Combine like terms;

4x+160

using distributive property   we have

⇒4(x+40)

Therefore, the expression is equivalent to the expression for the perimeter of the larger playground is, 4(x+40)

answer: 40.95

step-by-step explanation:

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq