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12345 [234]
3 years ago
15

Please help!!! I will vote BRAINLIEST What is the value of k?

Mathematics
1 answer:
Natali [406]3 years ago
4 0
<h3>Answer:  k = 10</h3>

======================================================

Work Shown:

Use the remote interior angle theorem.

The interior angles (4k+5) and (6k+10) add to the exterior angle 115. Note the interior angles are not adjacent to the exterior angle. This is where the "remote" aspect comes in.

So,

(4k+5) + (6k+10) = 115

10k + 15 = 115

10k = 115 - 15

10k = 100

k = 100/10

k = 10

We can stop here.

If you want to keep going, then,

4k+5 = 4*10+5 = 45

6k+10 = 6*10+10 = 70

Note how 45+70 = 115 to help confirm our answer.

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f(-8) = -2
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3 years ago
Two hot dogs and a soda cost $3.25.if three hot dogs and a soda cost $4.50.what is the cost of two sodas?
kotegsom [21]

Answer: $1.50

Step-by-step explanation: 1. subtract the 3.25 from 4.50 to get a difference that is the price of the added hotdog 2. now that you know each hot dog cost $1.25 you can do 3.25 - 2(1.25) to get 0.75 which is the price of one soda. 3. You can no multiply $0.75 by two (the amount of sodas) to get the answer $1.50.

4 0
3 years ago
Pls help :( Will mark as brainliest
bagirrra123 [75]

Answer: The only correct answer is 8/18. See below

Step-by-step explanation:

All you need to do is divide the denominator of 9 into the denominator of each fraction, and multiply the numerator by the same factor like this:

4/9 = ?/36; 36/9 = 4; 4x4 =16, so we know that 4/9=16/36 NOT 20/36

4/9 = ?/18; 18/9 =2; 2x4 =8, so we know that 5/9 = 8/18 so YES.

4/9 = ?/45; 45/9=5; 5x4 = 20, so we know that 5/9 = 20/45 NOT 24/45

5/9 = ?/27; 27/9 =3; 3x5 = 15, so we know that 5/9 = 15/27 NOT 12/27

8 0
3 years ago
Heather measures the temperature of her coffee to be 133.4 degrees fahrenheit. It is actually 145 degrees fahrenheit. What is th
zhenek [66]

Answer:

The percent error of Heather's calculation is <u>8%</u>.

Step-by-step explanation:

Given:

Heather measures the temperature of her coffee to be 133.4 degrees fahrenheit. It is actually 145 degrees fahrenheit.

Now, to find the percent error of Heather's calculation.

The temperature of coffee Heather measures = 133.4° F.

Coffee's actual temperature = 145° F.

So, to get the measurement in error we subtract the temperature of coffee Heather measures from coffee's actual temperature:

145-133.4=11.6\°.

Now, to get the percent error:

\frac{11.6}{145}\times 100

=\frac{1160}{145}

=8\%.

Therefore, the percent error of Heather's calculation is 8%.

5 0
3 years ago
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