Question

Fill-in-the-blanks of the following two-column proof:

Given: QS = 42
Prove: x = 13

Statements Reasons
1) QS = 42 1) Given
2) QR + RX = QS 2) Segment Addition Postulate
3) (x + 3) + 2x = 42 3)
4) 3x + 3 = 42 4)
5) 3x = 39 5)
6) X = 13 6) Division Property of Equality

Answer 1

PLEASE HELP ME

Answer 2

Information appears to be missing. For one, where's the figure?

Answer 3

besides that no information is missing. I need to answer 3, 4, 5

Answer 4

@Hero

Answer 5

Well, notice how the step from 3x = 39 to x = 13 is division property of equality. Well, that makes sense, the last step was to divide. With that logic, look at what operations are being done.

x+3 is "substituted" for QR and 2x is "substituted" for RX.

As for the next step, this is just combining like terms, which is considered simplification, I dont believe its any equality or postulate, so Id just say simplify.

Then from 3x + 3 = 42 to 3x = 39, we just subtracted 3. So given the operations that we did, you should be able to see what the appropriate responses should be for each step.

Hope that makes sense ^_^

Answer 6

so one would be substitution property?

Answer 7

would 5 be subtraction property of equality?