Chloe notices that segment ST and segment VW are congruent in the image below.

Mathematics

1 answer:

IgorLugansk [536]3 years ago

5 0

The SAS similarlity theorem is the type of similarlity that show that two triandles are similar by showing that two of the sides are similar with the angle between the two sides also similar.

Thus, given that segment ST and segment VW are congruent, and also from the image it can be seen that angle S is congruent to angle V.

Thus, to show that ΔSTU ≅ ΔVWX, we have to show that US≅XV.

Therefore, the step that could help her determine if ΔSTU ≅ ΔVWX by SAS is US≅XV

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Answer:

x = -2.5
x = 2

Step-by-step explanation:

Hello!

We can remove the denominators by multiplying everything by it.

Solve:

$\frac{5}{x + 3} + \frac4{x + 2} = 2$
$5 + \frac{4(x + 3)}{x + 2} = 2(x + 3)$
$5 + \frac{4x + 12}{x + 2} = 2x + 6$
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$9x + 22 = 2x^2 + 10x + 12$

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$0 = 2x^2 + x - 10$

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$0 = 2x^2 + x - 10\\$

Multiply 2 and -10. You get -20. Think of two number that multiply to -20, and add to 1. If we think about the standard form of a quadratic, $ax^2 + bx + c$ , think two numbers that equal "ac" and add up to "b".