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natka813 [3]
2 years ago
15

Lukas wants to create a triangle with sides measuring 9 in., 13 in., and 15 in. He says that more than one triangle is possible

given these side lengths. Which statement about Lukas’s claim is true?
Lukas is incorrect. The side lengths satisfy the triangle inequality rule so one unique triangle can be drawn.
Lukas is incorrect. The side lengths do not satisfy the triangle inequality rule so no triangles can be drawn given these side lengths.
Lukas is correct. The side lengths satisfy the triangle inequality rule so multiple triangles can be drawn.
Lukas is correct. The side lengths do not satisfy the triangle inequality rule so multiple triangles can be drawn.

I think Lukas is incorrect. The side lengths satisfy the triangle inequality rule so one unique triangle can be drawn.
Mathematics
1 answer:
Ainat [17]2 years ago
6 0

Answer:

The first statement.

Step-by-step explanation:

You basically already explained it. It satisfies the inequality rule so only one can be made.

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If the Ratio of bananas to tomatoes is 2 to 6 how many bananas would i need if there are 36 tomatoes
Dmitry_Shevchenko [17]

Answer:

12

Step-by-step explanation:

The 6 part of the ratio represents 36 tomatoes.

Divide 36 by 6 to find the value of one part of the ratio

36 ÷ 6 = 6 ← value of 1 part of the ratio, thus

number of bananas = 2 × 6 = 12

3 0
4 years ago
I need help on these rational numbers only 13-18
Archy [21]
13. 4/5
14.11/25
15.-1   7/20
16. 4/5
17. -1  5/10
18.4 9/20
5 0
3 years ago
Read 2 more answers
Help!!! Please!! Thank you!
Assoli18 [71]
1.014)x=24 hope it helps
4 0
4 years ago
4. Kevin can clean a large aquarium tank in about 9 hours. When Kevin and Lara
Galina-37 [17]

Answer:

Part A

The rational equation that can be used to determine how long it would take Lara to clean the tank alone is; 6/9 + 6/x = 1

Part B

It would take Lara 18 hours to clean the tank if she works by herself

Step-by-step explanation:

Part A

The time it takes Kevin to clean an aquarium tank alone = 9 hours

The time it takes Kevin and Lara to clean the tank together = 6 hours

Let '1/x' represent Lara's cleaning rate, we have;

The time it would take Lara to clean 1 tank alone = 1/(1/x) = x

Kevin's cleaning rate, y = 1/9 tank per hour

The number of tanks, z =  tank

The total time it takes both of them to clean the tank, t = 6 hours

Therefore, we get;

t × y + t × 1/x = z

When t = 6, y = 1/9, and z = 1, we get;

6 × (1/9) + 6·(1/x) = 1

Therefore, the rational equation that can be used to determine how long it would take Lara to clean the tank if she work by herself, '1/x', is given as follows;

6/9 + 6·(1/x) = 1

6/9 + 6/x = 1

Part B

Solving the rational equation gives;

1/x = (1 - 6/9)/6 = 1/18

∴ 1/x = 1/18)

∴ x = 18

The time it would take Lara to clean the tank if she worked by herself, x = 18 hours

6 0
3 years ago
Find the measure of segment LM if M is the midpoint of segment LN and LM = 3x-2 and MN = 2x+1
Ulleksa [173]

LM is equal to 7.

In order to find this, we need to first set LM and MN equal to each other since M is the midpoint of LN.

LM = MN

3x - 2 = 2x + 1

x - 2 = 1

x = 3

Now that we know x = 3 we can find the value of LM by plugging in to the problem.

LM = 3x - 2

LM = 3(3) - 2

LM = 9 - 2

LM = 7

4 0
4 years ago
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