Simplify the complex rational expression

Mathematics

2 answers:

12345 [234]3 years ago

8 0

Answer:

2( x +2 )

Step-by-step explanation:

to add or subtract expressions expand them to make their denominators the same, multiply 1 time $\frac{x-2}{x-2}$

since $\frac{x}{x-2}$ and $\frac{x-2}{x-2}$ have the same denominators add them by adding their numerators

combine x + x -2

factor $x^{2}$ - 4

to add or subtract expressions expand them and multiply by 1

have same denominator add them by adding their numerators

do the multiplications in 3 + ( x-2 )(x+2)

combine like terms in 3 + $x^{2}$ + 2x - 2x -4

divide $\frac{2x-2}{x-2}$ by $\frac{-1 + x^{2} }{(x-2)(x+2) }$ multiplying $\frac{2x-2}{x-2}$

cancel out x-2 in both numerator and denominator

factor the expression that are not already factored

cancel out x-1 in both numerator and denominator

expand the expression

jasenka [17]3 years ago

7 0

Answer:

$2(x+2)/x+1$

Step-by-step explanation:

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In triangle ABC, angle A is 75o and angle B is 20o. Select the triangle that is similar to triangle ABC.

Arturiano [62]

Answer:

A. $\triangle$ DEF where $\angle D = 75^{\circ}$ and $\angle E = 20^{\circ}$ .

Step-by-step explanation:

At first we must keep in mind that two triangles are similar when they have same angle configuration, that is, each pair of angles is congruent. If $\triangle$ ABC and $\triangle$ DEF, then $\angle A \equiv \angle D$ and $\angle B \equiv \angle E$ . Hence, $\angle D = 75^{\circ}$ and $\angle E = 20^{\circ}$ .