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3 years ago

I really need the help.....

Mathematics

1 answer:

prisoha [69]3 years ago

6 0

Answer:

Similar - Top center, bottom left

Not similar, different shape - Top left, bottom right

Not similar, different ratio of side lengths - Top right, bottom center

Step-by-step explanation:

We can see automatically that the top left and bottom right are not similar because they are a triangle and a trapezoid, not a rectangle.

Top right is not similar because of its different ratio of sides. The ratio for the sides of the original rectangle is 3:7, while the ratio of the top right is 2:3.5 .

Bottom center is not similar because of its different ratio of sides as well, as its ratio is 6:12

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3 years ago

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professor190 [17]

Answer:

$=\frac {x+2}{x^2+2}$ is the simplest form of given expression.

Step-by-step explanation:

The given question is $\frac{x^2+x-2}{x^3-x^2+2x-2}$

To solve the problem we have to group or split middle term and then factorise

$\frac{x^2+(2x-x)-2}{(x^3-x^2)+(2x-2)}$

Taking $x^2$ common from first two terms of denominator and 2 from next two terms

$= \frac{x^2+2x-x-2}{x^2(x-1)+2(x-1)}$

Now,taking x common from first two terms of numerator and -1 from next two terms and in denominator taking(x-1) common from both terms

$= \frac{ x(x+2)-1(x+2)}{(x-1)(x^2+2)}$

$=\frac{(x+2)(x-1)}{(x-1)(x^2+2)}$

Now cancel out x-1 from both numerator and denominator we get

$=\frac {x+2}{x^2+2}$ is the required simplest form.

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