Answer:
r = 1/3
= 1
Step-by-step explanation:
1 + 1/3 + 1/9 + 1/27 + 1/ 81
In this series a is the first term = 1
r is the common ratio = 2nd term/1st term = 3rd term/ 2nd term
r = 1/3 ÷ 1 = 1/9 ÷ 1/3
r = 1/3
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Answer:
the opposite of what is in the parentheses so -(-6) would just be 6
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 number -33 divisors are:
D(-33) = {-33, -11, -3, -1, 1, 3, 11, 33}
a × b = -33
<u>1) -33 × 1 = -33 ⇒ Sum is: -33 + 1 = -32</u>
2) -11 × 3 = -33 ⇒ Sum is: -11 + 3 = -8
3) -3 × 11 = -33 ⇒ Sum is: -3 + 11 = 8
4) -1 × 33 = -33 ⇒ Sum is: -1 + 33 = 32
<u>5) 1 × (-33) = -33 ⇒ Sum is: 1 + (-33) = 1 - 33 = -32</u>
6) 3 × (-11) = -33 ⇒ Sum is: 3 + (-11) = 3 - 11 = -8
7) 11 × (-3) = -33 ⇒ Sum is: 11 + (-3) = 11 - 3 = 8
8) 33 × (-1) = -33 ⇒ Sum is: 33 + (-1) = 33 - 1 = 32
<h2>The least possible sum of a and b is -32</h2>
to 1) and to 5)