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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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Evaluate the quantity 3 squared times 3 to the power of negative 5 end quantity over 5 to the power of negative two.
chubhunter [2.5K]

The value of the expression given as  [3² * 3⁻⁵]/[5⁻²] is 25/27

<h3>How to evaluate the expression?</h3>

The expression is given as:

3 squared times 3 to the power of negative 5 end quantity over 5 to the power of negative two

Rewrite properly as:

[3² * 3⁻⁵]/[5⁻²]

Apply the negative exponent law of indices

So, we have

[3² * 3⁻⁵]/[5⁻²] = [5²]/[3⁻² * 3⁵]

Apply the exponent law of indices

[3² * 3⁻⁵]/[5⁻²] = [5²]/[3³]

This gives

[3² * 3⁻⁵]/[5⁻²] = 25/27

Hence, the value of the expression given as  [3² * 3⁻⁵]/[5⁻²] is 25/27

Read more about expressions at:

brainly.com/question/723406

#SPJ1

7 0
1 year ago
If a right circular cone has radius 4 cm and slant height 5cm then what is its volume?​
lyudmila [28]

Answer:

V≈50.27cm³

Step-by-step explanation:

Using the formulas

V=πr2h

3

l=r2+h2

Solving forV

V=1

3πr2l2﹣r2=1

3·π·42·52﹣42≈50.26548cm³

6 0
2 years ago
FIRST BRAINIEST Tifania and Sean tried to find the circumference of a circle with a radius of 14 cm. Their work is shown below.
Simora [160]
Tifania’s work is correct because the formula for circumference is 2(3.14)(r)
8 0
2 years ago
Can someone please check this for me? distance formula
seropon [69]
-4,6) (8,-12)
square root of 12^2+-18^2
<span>square root of 144+324
</span><span>square root of 468
21.63
</span>
5 0
3 years ago
Read 2 more answers
Elm Street is straight. Willard's house is at point H between the school at point S and
Vlad1618 [11]

Answer:

7.5 Miles.

Step-by-step explanation:

3 + 4.5 = 7.5 Miles.

4 0
3 years ago
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