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 :)

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!

6 and 24

step-by-step explanation:

6 x 4 = 24