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3 years ago

Given that ABC~LMN What is the length of AC?

Mathematics

1 answer:

sleet_krkn [62]3 years ago

6 0

Answer:

B. 12

Step-by-step explanation:

✔️Find the value of x

The side lengths of two similar triangles are always proportional.

Given that ∆ABC ~ ∆LMN, therefore:

$\frac{AB}{LM} = \frac{AC}{LN}$

AB = 5

LM = 10

AC = x + 5

LN = 3x + 3

Plug in the values

$\frac{5}{10} = \frac{x + 5}{3x + 3}$

Cross multiply

$5(3x + 3) = 10(x + 5)$

$15x + 15 = 10x + 50$ (distributive property)

Collect like terms

$15x - 10x = -15 + 50$

$5x = 35$

Divide both sides by 5

x = 7

✔️Find AC

AC = x + 5

Plug in the value of x

AC = 7 + 5

AC = 12

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Answer:

Step-by-step explanation:

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3 years ago

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Eva8 [605]

Answer:

Step-by-step explanation:

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Hope this helps :)

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2 years ago

Help asap ! -100x - 100 = 0 -100x = ? x = ?

marin [14]

Answer:

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Step-by-step explanation:

I did the math and this is what I got

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3 years ago

Find an equation of the line that goes through the points (10,34) and (-1,10)

kotykmax [81]

Answer:

Given points are ( 10 ,34 ) and ( -1 , 10)

Step-by-step explanation:

The equation of line is given by 

first we can find slope (m) 

= (y2 - y1) / ( x2 - x1)

= 34-10/10+1

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Now the equation is

y - y1 = m ( x - x1) 

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3 years ago

What times what equals 152

erik [133]

x*x=152

x2=152

Take square root.

x=±√152

x=√238
or
x=−√238

7 0

3 years ago