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emmasim [6.3K]
3 years ago
14

The triangles below are similar. By what ratio was triangle XYZ enlarged by to create triangle LMN? Use this information to calc

ulate the length of the missing side. Show your work.

Mathematics
1 answer:
aliina [53]3 years ago
4 0

Answer:

Ratio: 3:2

LN = 18

Step-by-step explanation:

"similar" means that all the angles are the same and the sides were all increased by the same proportion.

Thus, we know that MN/YZ = LM/XY = NL/ZX

First, we need to find the ratio. To do this, we write MN/YZ as a fraction, and simplify.

MN/YZ = 15/10 = 3/2

(If you want, you can double check this using LM nd XY. 8 * 3/2 = 12, so this is correct)

To find the missing side, we simply multiply XZ by 3/2.

12 * 3/2 = 18, so LN = 18.

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The function f(x) = 1/2 x + 3/2 is used to complete this table.
Mrac [35]

Answer:

a) f(-1/2)  = -2 is NOT TRUE.

b)  f(0)  =3/2 is  TRUE.

c)   f(1)  = -1 is NOT TRUE.

d)   f(2)  = 1 is NOT TRUE.

e)   f(4)  = 7/2  is  TRUE.

Step-by-step explanation:

Here, the given function is  f(x) = (\frac{1}{2}) x+\frac{3}{2}

Now, checking for each values for the given function:

a) Putting x  = (-1/2):

 f(\frac{-1}{2} ) = (\frac{1}{2})(\frac{-1}{2} ) +\frac{3}{2}   = \frac{-1}{4}  + (\frac{3}{2} )\\\implies f(x) = \frac{-1 + 6}{4}  = (\frac{5}{4} )

and (5/4) ≠  -2

Hence, f(-1/2)  = -2 is NOT TRUE.

b)Putting x  = 0 :

f(0) = (\frac{1}{2})(0 ) +\frac{3}{2} = (\frac{3}{2} )

Hence, f(0)  =3/2 is  TRUE.

c) Putting x  = 1:

f(1 ) = (\frac{1}{2})(1 ) +\frac{3}{2}   = \frac{1}{2}  + (\frac{3}{2} )\\\implies f(x) = \frac{3 + 1}{2}  = (\frac{4}{2} )   = 2\implies 2   \neq -1

Hence, f(1)  = -1 is NOT TRUE.

d)Putting x  = 2:  

f(2 ) = (\frac{1}{2})(2 ) +\frac{3}{2}   = 1+ (\frac{3}{2} )\\\implies f(x) = \frac{2 + 3}{2}  = (\frac{5}{2} )

and (5/2) ≠  1

Hence, f(2)  = 1 is NOT TRUE.

e)Putting x  = 4:

 f(4 ) = (\frac{1}{2})(4 ) +\frac{3}{2}   = 2  + (\frac{3}{2} )\\\implies f(x) = \frac{4 + 3}{2}  = (\frac{7}{2} )

Hence, f(4)  = 7/2  is  TRUE.

4 0
3 years ago
Two adults, uncle Jim and mother, and two children, Nancy and Peggy, want to sail to wild cat island. The boat is small and can
Hunter-Best [27]
Assuming that all of them can sail the boat. For them to sail to the island.

First: The two children (Nancy and Peggy) should sail to the island.
Next: One of the children (say Nancy) should bring back the boat.
Next: One of the adults (say Uncle Jim) should sail to the island.
Next: The other child (Peggy) should bring back the boat.
Next: The two children should sail to the island.
Next: One of the children should bring back the boat.
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3 years ago
PLS HELP
olya-2409 [2.1K]

Answer:

x<25/18 tis is d real anwer

4 0
3 years ago
How do solve (3/8+2/3)+1/3 how do you work the problem
Eddi Din [679]
Get rid of parenthesis, this is addition it doesn't matter how you add it will give you the same answer
3/8+2/3+1/3
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11/8→1 3/8→1.375
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3 years ago
Help plz <br> With steps will give brainliest !!!!
Usimov [2.4K]

Answer:

32 minutes.

Step-by-step explanation:

Hello there!

Add the time of the movie to the time they arrived:

10:15+48=11:03

Then subtract this number from 11:35

11:35-11:03=32 minutes

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3 years ago
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