Answer:
I agree completely
Step-by-step explanation:
Answer:

Step-by-step explanation:

Adding 2a to both sides

Taking sqrt on both sides

Answer:
Step-by-step explanation:
Answer:
See Below.
Step-by-step explanation:
We are given that ΔAPB and ΔAQC are equilateral triangles.
And we want to prove that PC = BQ.
Since ΔAPB and ΔAQC are equilateral triangles, this means that:

Likewise:

Since they all measure 60°.
Note that ∠PAC is the addition of the angles ∠PAB and ∠BAC. So:

Likewise:

Since ∠QAC ≅ ∠PAB:

And by substitution:

Thus:

Then by SAS Congruence:

And by CPCTC:

2x = 7 + 3
2x = 10
x = 10/2
x = 5
S: {5}