Question 1 Given: 3x + 2y + 7 = 5x +3y +10

Prove: m = -2

(Hint: slope)

Question 2
Given: m∠PRS = 2x + 12
m∠SRT = 6x + 8
∠PRS and ∠SRT are a linear pair
Prove: m∠PRS = 52

Answer to Question 1:

A way you can prove that the slope (m) = -2 is to write the equation:

3x + 2y + 7 = 5x + 3y + 10 in Slope-intercept form (y=mx+b). So all you need to do is solve for y. You will see that it will be y = -2x - 3. Step-by-step on how to solve it is in the image below. The coefficient of x is the slope (m), which is -2. So, it is proved that the slope is -2.

Question 2: Sorry, I don’t know how to solve for Question 2. But hopfully my answer to Question 1 helps you out :)

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

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)