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DiKsa [7]
1 year ago
12

Give the side lengths in order from least to greatest. The side lengths are LM, MK, LK.

Mathematics
1 answer:
kkurt [141]1 year ago
5 0

Answer

The order of this lengths from least to greates

MK < LM < LK

Explanation

To answer this, we need to first find the measure of the third angle to know this order.

Sum of angles in a triangle is 180°.

Third angle + 57° + 64° = 180°

Third angle + 121° = 180°

Third angle = 180° - 121°

Third angle = 59°

So, for the lengths of the sides, the length of the side is determined by the angle that is facing that side.

So, the bigger the angle, the bigger the side opposite that angle.

LM - 59°

MK - 57°

LK - 64°

We know that

57° < 59° < 64°

So,

MK < LM < LK

Hope this Helps!!!

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3 years ago
Read 2 more answers
Problem 9
lapo4ka [179]

Answer:

3:36PM

Step-by-step explanation:

Leon starts at 12PM with 12 gallons of gas, and after 2 hours he has used 5 gallons of gas. This means that every 2 hours he uses 5 gallons of gas.

Next we will find at what point Leon will stop to get gas. Since he will stop when the tank is at \frac{1}{4} capacity, we can use the equation:

\frac{1}{4} * 12 = \boxed{3}

This shows \frac{1}{4} of his tank's capacity (12) is equal to 3 gallons. This means he will stop for gas when 3 gallons are remaining.

Now we need to find how many gallons of gas he uses, but as a unit rate. (This will allow us to find what time Leon will stop to get gas.) To find the unit rate, we will need to find how many gallons of gas he uses per hour.

\frac{\mbox{5 gallons}}{\mbox{2 hours}} = \frac{\mbox{2.5 gallons}}{\mbox{1 hours}}

This is a simple proportion, and now we know he uses 2.5 gallons of gas per hour.

Now we can how many hours of gas Leon has left.

He has 7 gallons of gas left at 2PM, so we can divide to find how many hours left of gas he has.

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The 7-3 is because Leon doesn't stop when his tank is empty, he stops 3 gallons earlier. We are dividing by 2.5 because that is how much gas he uses per hour, meaning the result of this division (1.6) is how many hours he has left.

Now we can solve for what time Leon will stop to get gas.

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(1.6 hours is equal to 1 hour and 36 minutes)

Therefore, Leon will stop for gas at 3:36PM

8 0
2 years ago
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