Micah was asked to add the following expressions: 3x2−x−9x2+3x+2+−2x2+2x+5x2+3x+2 first, he combined like terms in the numerator and kept the common denominator. x2+x−4x2+3x+2 next, he simplified the expression by canceling the like term, x2. his final, simplified answer was: x−43x+2 did micah add the expressions correctly? explain your answer using complete sentences.

Given expression:

We need to add the given rational expressions.

First step: Combined like terms in the numerator and kept the common denominator.

Second step they applied : Canceling the like term x^2 and got

Note: We can't cancel like terms in top and bottom like this.

We can cancel out common factors in top an bottom.

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