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2 years ago

A town has a population of 2000 and grows at 4% every year. What will be the

Mathematics

1 answer:

natka813 [3]2 years ago

6 0

Answer:

$\frac{4}{?100} \times \frac{2000}{?1} = 80 \\ \\ 2000 + 80 = 2080 \\ \\ 2080 \times 15 = 31200$

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Lelu [443]

Answer:

Given that JN was bisected, JL ≅ LN

Given that KM was bisected, KL ≅ ML

∠JLK ≅ ∠MLN because of vertical angles.

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∠MLN is contained by ML and LN.

Therefore ΔJKL ≅ ΔNML by the SAS postulate.

Step-by-step explanation:

The SAS postulate states that when you know two triangles have an equal angle, and that angle is formed by two sides that are equal in both triangles, the two triangles are congruent.

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Since two lines were bisected and each form a side in the triangles, two sides are congruent.

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3 years ago

Simplify the rational expression. state any restrictions on the variable. n^4-11n^2+30/n^4-7n^2+10

Andrej [43]

For this case we have the following expression:
 $\frac{n ^ 4-11n ^ 2 + 30}{ n ^ 4-7n ^ 2 + 10} 

$
 We are going to make the following change of variables:
 $x = n ^ 2
$
Rewriting the expression we have:
 $\frac{(x ^ 2-11x + 30)}{(x ^ 2-7x + 10)} 

$
Factoring the expression we have:
 $\frac{(x-5) (x-6)}{(x-5) (x-6)} 
$
Canceling similar terms we have:
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$
Returning the change we have:
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$
 The resctrictions of the function are those that make the denominator equal to zero.
We have then:
 $n ^ 2-2 = 0

n = +/- \sqrt{2} 
$
 Answer:
The simplified expression is:
 $\frac{n ^ 2-6}{n ^ 2-2}$
The restrictions are:
 $n = \sqrt{2} 
$
$n = - \sqrt{2}$

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