Select all the expressions that are equivalent to LaTeX: 16x-12-24x+416 x − 12 − 24 x + 4. Explain or show your reasoning. LaTeX: 4+16x-12(1+2x)4 + 16 x − 12 ( 1 + 2 x )

LaTeX: 40x-1640 x − 16

LaTeX: 16x-24x-4+1216 x − 24 x − 4 + 12

LaTeX: \text-8x-8- 8 x − 8

LaTeX: 10 (1.6x - 1.2 - 2.4x + 4)10 ( 1.6 x − 1.2 − 2.4 x + 4 )

Group of answer choices

4 + 16x - 12(1 + 2x)

40x - 16

16x - 24x - 4 + 12

-8x - 8

10(1.6x - 1.2 - 2.4x + 4)

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

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.