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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.

You might be interested in
A tree 7 ft tall grows an average of 6 in. each year. Which equation models the tree’s height h after x years?
Vesna [10]
The initial height of the tree = 7 ft

Each year the tree grows 6 in.   6 in = 6 / 12 = 0.5 ft

So the tree grows 0.5 ft every year.

After x years, the tree would have grown extra = 0.5*x =0.5x

So the height of the tree would be = Initial height + extra height grown

= 7 + 0.5x

h = 7 + 0.5x

Model is    h = 7 + 0.5x, 

where h = height of the tree in feet after x years. 

Hope this explains it.
6 0
3 years ago
Suppose a triangle has two sides of length 33 and 37, and that the angle between these two sides is 120. What is the length of t
postnew [5]
Use the cosine law to answer the question which can be expressed as,
                           c² = a² + b² -2ab(cos C)
where c is the side opposite to angle C and a and b are the sides adjacent to the angle. Substituting the given values,
                             c² = 33² + 37² - (2)(33)(37)(cos 120°) = 3679
The value of c is 60.65. Therefore, the length of the third side is approximately 60.65 units. 
6 0
4 years ago
Read 2 more answers
Halp
ValentinkaMS [17]

Answer:

D. None of the above.

Step-by-step explanation:

Supplementary angles must add up to 180 degrees.

Complementary angles must add up to 90 degrees.

Vertical angles are opposite of each other.

Hope this helps!

If not, I am sorry.

5 0
2 years ago
1.
mariarad [96]

Answer:

80 questions

Step-by-step explanation:

100%/20%=5%

5×16=80

Therefore, there are 80 questions in the test.

7 0
3 years ago
Juanita bought a square calculator that has a measurement of 8.2 sq cm on one side. What is the area of the calculator?
Sunny_sXe [5.5K]
Since all sides of a square are the same you can square the side length you are given.
A = (8.2)x(8.2) or 8.2^2
That would give you 67.24
7 0
2 years ago
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