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:
Step-by-step explanation:
Let be "x" the price in dollars of one copy of the city newspaper.
You need to analize the information provided in the exercise:
1. The total number of copies of the city newspaper sold in the newspaper stand is:
2. The amount of money earned by selling 1,000 copies of the city newspaper is:
Then, you can determine that the value of "x" can be found with:
3. Finally, substituting values, you get: