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:
(5)(6)(8) = 240
240 blocks in one box.
(240)(3) = 720
720 blocks in three boxes
Answer:
Step-by-step explanation:
Angle BCA is inscribed in that circle. The rule is that the inscribed angle is half the measure of the arc it intercepts. The arc it intercepts is arc AB which measures 96 degrees. That means that
and
4x + 4 = 48 and
4x = 44 so
x = 11
Choice A is the one you want.
Answer:
The binomial theorem allows you to write out the expansion of your polynomial immediately. (I feel like this is good enough)
Step-by-step explanation:
<em>It also allows you to answer such questions as:</em> "What is the coefficient of x20 in (1+x)100?" Its generalization to non-integer exponents allows you to get the expansion of (1−x)−1/2. There are all sorts of reasons.
