Part A: Solve the equation 7x + 3x − 18 = 6(x + 3), 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

x=9

Step-by-step explanation: First combine like terms:10x-18=6(x+3) Second: Distribute> 10x-18=6(x+3) 10x-18=6x+18 Third: Add 18 to both sides of the equation(Addition) 10x-18+18=6x+18+18 Fourth: Simplify (Addition) 10x=6x+36 Fifth: Subtract 6x from both sides of the equation 10x-6x=6x+36-6x 6th: Combine like terms 4x=36 7th:divide both sides by 4

4x/4=36/4 LAST STEP: divide the numbers

Hope this helps:)

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.