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:
The answer will be C. I hope this helped you! ^^
Answer: Jorge has 62 marbles.
Step-by-step explanation: Given that Jaime has 38 marbles if Jorge had 14 more marbles he would have twice as many as Jaime.
We are to find the number of marbles that Jorge has.
Let x and y represents the number of marbles that Jalme and Jorge has respectively.
Then, according to the given information, we have
and
Thus, Jorge has 62 marbles.
