1.the diagram shows a strip of wood abcde. ab = bc = cd = x cm.
de is twice the length of cd.
express the total length, ae, in terms of x. give your answer in its simplest form
2. tahir is h cm tall. sienna is 4 cm shorter than tahir.
write an expression in terms of h for sienna’s height in centimetres.

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

x = 3 ± √(5+y)