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 us assume the regular price of each tube of paint = r.
0.50 off each tube.
New price of each tube = r - 0.50.
She buy 6 tubes.
Total price of 6 tubes = 6×(r-0.50).
We are given total price = $84.30 .
Therefore, we can setup an equation
6×(r-0.50) = 84.30.
Distributing 6 over (r-0.50), we get
6r - 3.0 = 84.30
Adding 3.0 on both sides, we get
6r - 3.0+3.0 = 84.30+3.0
6r = 87.30
Dividing both sides by 6, we get
6r/6 = 87.30/6
r = 14.55
<h3>Therefore, required equation is
6(r-0.50) = 84.30 and the regular price of each tube of paint is $14.55.</h3>
887(25) = 22175, i hope it helps
Answer:
1 - p(7 girls) = 1 - 0.483^7 = 0.9939
