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harina [27]
3 years ago
8

IF Triangle DEF JKL, find KL.

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
3 0

Answer:

b

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

\frac{KL}{EF} = \frac{JK}{DE} , substitute values

\frac{6x+3}{x+11} = \frac{25}{10} ( cross- multiply )

10(6x + 3) = 25(x + 11) ← distribute parenthesis on both sides

60x + 30 = 25x + 275 ( subtract 25x from both sides )

35x + 30 = 275 ( subtract 30 from both sides )

35x = 245 ( divide both sides by 35 )

x = 7

Then

KL = 6x + 3 = 6(7) + 3 = 42 + 3 = 45 → b

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20% of 57 is what number ?<br> The proportion is ?
Elanso [62]

Answer:

11.4

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Step-by-step explanation:

It is perhaps simplest just to translate the given English sentence into a mathematical sentence.

... 20% ... ... of ... 57 ... is ... what number

... 20/100 ... × ... 57 .... = ... what number . . . . . . . . translation to math sentence

... 11.4 = what number . . . . . . . . carry out the multiplication

_____

If you're asked to write this as a proportion, you can write it like this:

\dfrac{20}{100}=\dfrac{\text{what number}}{57}

You can solve this proportion by multiplying by 57 (the denominator under "what number"). Doing so gives you the same arithmetic sentence as shown above.

6 0
3 years ago
If no number can be used more than once, how many different 2-digit numbers can be formed from the digits 4, 6, and 8?
ikadub [295]

Answer:

Six.

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Step-by-step explanation:

hoped this helped!

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