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:

Answer:
3
Step-by-step explanation:
Each of the lines lengths multiply by 3.
Since 5 of the 8 students are boys, the fraction would be 5/8. The fraction would roughly be around 63%
Answer:
Option 1
Step-by-step explanation:
You must multiply (2x + 3) by (x + 4). I use the FOIL method.
(2x + 3)(x + 4)
Multiply
2x² + 8x +3x + 12
Simplify
2x² + 11x + 12
To check the answer, you could factor this trinomial back into a pair of binomials.
Answer:
ian just wasted the last bit of coffee.
Step-by-step explanation: