A semielliptical archway over a one-way road has a height of 12 feet and a width of 40 feet. You are driving a truck that is 10 feet wide and 11 feet high. Will your truck make it
under the archway? Justify your answer.
O Yes, the height and width both fit
O No, the truck will be too tall
O No, the truck will be too wide
Not enough information to decide if the truck will fit.

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

b

step-by-step explanation:

given the equation is 8+9z=-6, the first step would be to subtract the 8 from both sides:

8+9z-8=-6-8

since 8 minus 8 = 0, this would cancel out the 8. and since -6 minus 8 equals -14, the equation would look like this

9z = -14