A frame maker is hired by an art museum
to make a special frame for a large,
rectangular painting. The painting is 3
times as long as it is tall. The expression
2(x + 3x) represents the perimeter of the
painting, where x represents the length of
the short side of the painting in feet.
What is the total feet of framing needed if
the short side of the painting measures 2.6
feet?

Step-by-step explanation:

2(2.6+3x2.6)=2x(2.6+7.8)=2x10.4=20.8

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