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iragen [17]
3 years ago
10

If one angle of a set of supplementary angles measures 77°, then the other angle measures _____.

Mathematics
1 answer:
juin [17]3 years ago
3 0

Answer:

B

Step-by-step explanation:

Supplementary angles sum to 180°

If one angle is 77°, then the other angle is

180° - 77° = 103° → B

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Rewrite the following equation in exponential form log3 3=1
yawa3891 [41]

Answer: (X) = y => b^y = x

use that equation to get the exponential form

Step-by-step explanation:

3 0
3 years ago
The capacity of a jug is 6L. Kerry needs 5L of juice for a party. how many jugs will she have to make?
zimovet [89]

Answer:

One

Step-by-step explanation:

Given data

The capacity of Jug= 6L

Needed capacity of Juice= 5L

Hence  one Jug of Juice will be enough because one jug of juice will cover for 6L and 1 L will actually remain

5 0
2 years ago
Find the sum of the geometric series 40 + 40(1.005) + 40(1.005)^2 + ⋯ + 40(1.005)^11.
KiRa [710]

Answer:

The sum is 493.4

Step-by-step explanation:

In order to find the value of the sum, you have to apply the geometric series formula, which is:

\sum_{i=1}^{n} ar^{i-1} = \frac{a(1-r^{n})}{1-r}

where i is the starting point, n is the number of terms, a is the first term and r is the common ratio.

The finite geometric series converges to the expression in the right side of the equation. Therefore, you don't need to calculate all the terms. You can use the expression directly.

In this case:

a=40

b= 1.005

n=12 (because the first term is 40 and the last term is 40(1.005)^11 )

Replacing in the formula:

\frac{a(1-r^{n})}{1-r} = \frac{40(1-1.005^{12})}{1-1.005}

Solving it:

The sum is 493.4

4 0
2 years ago
2. The electrical resistance R of a wire varies inversely with the square of its diameter d. If a wire with a
Mariulka [41]

Answer:

0.225 \Omega =225 m\Omega

Step-by-step explanation:

We know (Ohm second law) that R= \frac{k}{d^2} where k inlcudes the rest of the parameters (material, lenght). In our situation we have k= 0.4\cdot9 \Omega mm^2. The moment the diameter becomes 8mm R becomes

R= {{0.4\cdot 9}\over{16}} \Omega = 0.225 \Omega

4 0
2 years ago
!!30 points!!<br> Are points A, B, and E collinear or noncollinear?
NeX [460]

A. Noncolinear

ABE although they are in the same side, but they don't lie on the same line.

so its a noncolinear.

7 0
3 years ago
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