Part A: Solve the equation 5(x + 2) = 6x + 3x − 14, and show your work. (5 points)

Part B: Use this list of properties to justify each step of your math work. Justifications may be used more than once if needed. (5 points)

Distributive Property
Subtraction Property of Equality
Combine Like Terms
Multiplication Property of Equality
Division Property of Equality
Given
Addition Property of Equality

Part A:

x = 6

Step-by-step explanation:

5(x + 2) = 6x + 3x - 14

use the distributive property for the left side of the equation

(in case you don't know, * means multiply)

combine like terms on the right of the equation.

Move the +10 on the left to the right (change the + to a - )

Move the +9x on the right to the left (change the + to a - )

All the like terms are together so now you can combine them.

divide both sides by -4 so the x is by itself

x = 6

Hope this was helpful :-)

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.

answer: 2/4

step-by-step explanation: