A garden has four sides that are all the same length. Each side measures x + 5 units. The garden’s perimeter is 144 units. What is the value of x?

31

Step-by-step explanation:

Each side=L=x+5

Since the garden has four equal sides, it seems to look like a square.

So perimeter of square=4L

So

4L=144

4(x+5)=144

4x+20=144

4x=144-20

4x=124

x=31 (dividing both sides by 4)

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

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