What are the next two terms in the sequence? 8, 19, 30, 41,
2 answers:
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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:
Let's call the unknown amount of money <em>x</em>
Betty spend 5/12 of her money (5/12)x and had 42 dollars left. Translated,
Solving,
Answer: $72