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Ira Lisetskai [31]
3 years ago
15

Find the value of x. (Picture attached.)

Mathematics
1 answer:
Svet_ta [14]3 years ago
5 0

Here, triangle AEN and ALG are similar.


We know that the ratio of corresponding sides of two similar triangles are equal. So,

\frac{21}{42} =\frac{2x-9}{(2x-9)+(x+7)}\\\\\frac{1}{2} =\frac{2x-9}{3x-2}\\\\ 3x-2=4x-18\\\\-2+18=4x-3x\\\\16=x\\\\x=16\\

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Sladkaya [172]

Answer:

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3 0
3 years ago
A is inversely proportional to b. If a=7.2 when b=-4, what will a equal when b=6?
Tpy6a [65]

Answer:

<h2>a = - 4.8</h2>

Step-by-step explanation:

To find the value of a when b=6 we must first find the relationship between them.

The statement

a is inversely proportional to b is written as

a \:  \:  \alpha  \:  \:  \frac{k}{b}

where k is the constant of proportionality

When a = 7.2 , b = -4

So we have

7.2=  \frac{k}{ - 4}

k = 7.2 × - 4

k = - 28.8

So the formula for the variation is

a =  -  \frac{28.8}{b}

When

b = 6

That's

a =  -  \frac{28.8}{6}

We have the final answer as

<h3>a = - 4.8</h3>

Hope this helps you

7 0
4 years ago
Which equation has a solution of x = 2?<br> 1 point
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3 0
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F(x) = 2.5e-0.04x and g(x) = 1.2 + 0.2x.
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f(x) - g(x)

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