The solution set of 3x+5=x+2 is x=-1. This is because you want to get the variables on one side and the numbers on the other. you subtract x on both sides and subtract 5 on both sides. your equation then becomes 3x=-3. you then divide 3 on both sides and you get your answer of x=-1.
1 Subtract 22 from both sides
13x=4x+38-213x=4x+38−2
2 Simplify 4x+38-24x+38−2 to 4x+364x+36
13x=4x+3613x=4x+36
3 Subtract 4x4x from both sides
13x-4x=3613x−4x=36
4 Simplify 13x-4x13x−4x to 9x9x
9x=369x=36
5 Divide both sides by 99
x=\frac{36}{9}x=
9
36
6 Simplify \frac{36}{9}
9
36
to 44
x=4x=4
I will only be writing the reasons for each and you can respond if you need clarification for anything:
1. given
2. opposite sides of a parallelogram are congruent (and a rectangle is a parallelogram so the properties apply)
3. def rectangle
4. SAS (side angle side congruence theorem)
5. CPCTC (congruent parts of congruent triangles are congruent)
In this question there are several important information's provided. Using these information's it is easy to get the answer to the question asked. Firstly it is already informed that the insurance agent gets a commission of 15% of the policy price for every policy sold. The agent sells a policy of $300.
Now we can write the equation as:
15% of $300 = [(15/100) * 300] dollars
= ( 15 * 3) dollars
= 45 dollars
So the agent gets a commission of $45 for selling a policy worth $300
You have to times all the numbers together to get the surface area.
So that means you have to do 16*12*5.
