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dangina [55]
3 years ago
7

Given: △KLM, LM=20 3 m∠L=105°, m∠M=30° Find: KL and KM

Mathematics
1 answer:
Yuki888 [10]3 years ago
3 0

Answer:


Step-by-step explanation:

Split the triangle into a 30-60-90 triangle. Since you have LM from that triangle, you can figure out the other sides. Then, using the leg from that triangle, the one next to it is a 45-45-90 triangle, meaning it's isosceles.

KM = 30 + 10√3

KL = 10√6


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Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
Whitepunk [10]

The ratio of the sides of the given similar triangles is: C. 4/12 = 5/15 = 1/3.

<h3>How do the Sides of Similar Triangles Relate?</h3>

The corresponding sides of similar triangles have ratios that are equal to each other.

The corresponding sides and their ratios are:

4/12 = 1/3

5/15 = 1/3

Therefore, the ratio of their sides in its lowest term is:

C. 4/12 = 5/15 = 1/3

Learn more about the similar triangles on:

brainly.com/question/2644832

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4 0
1 year ago
Sherry is driving 390 miles to visit The gateway arch in St. Louis. She drives at an average rate of 65 miles per hour. Explain
grandymaker [24]

Answer:

t = 6 s

Step-by-step explanation:

Given that,

Sherry is driving 390 miles to visit The gateway arch in St. Louis.

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Hence, it will take 6 hours to get to the arch.

8 0
3 years ago
ryan can build 4 desks in one day and larry can build 4 desks in 2 days. if larry starts work one day before ryan, how long will
MissTica
You can make an equation with this information using a variable for the number of days and solve for that variable. Here we can use d to represent days.

Ryan can build 4 desks in a day, so you could express his production as 4d.

Larry can build 4 desks in 2 days, so you could say he makes 2 desks in 1 day, expressed as 2d.

If Larry starts work one day before Ryan, he's made an extra 2 desks. To get 32 desks, you need to add together those 2 desks Larry made, however many desks Larry can make, and however many desks Ryan can make:

2 + 4d + 2d = 32.

Then just simplify and solve:

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3 years ago
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3 years ago
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Read 2 more answers
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