What equation results from completing the square then factoring x2+10x=15

(x + 5)² = 40

Step-by-step explanation:

x² + 10x = 15

To complete the square, take half of the second coefficient, square it, and add the result to both sides.

(10/2)² = 25

x² + 10x + 25 = 40

Factor:

(x + 5)² = 40

For this case we have the following expression:

Completing squares we have:

We divide the middle term by 2 and square it, this we will add to both sides of the equation:

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

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