Which of the following conditions would guarantee that triangles are identical?

Mathematics

1 answer:

7nadin3 [17]2 years ago

4 0

Answer: Two triangles have the same side lengths (Ex: both triangles have sides 3, 4, and 5 cm)

Step-by-step explanation:

1) This would guarantee similarity, but not necessarily that they are identical.

2) The angle has to be included between the two sides, which is not specifed.

3) This would work (SSS congruence)

4) It is not specified if the side is opposite the corresponding angles.

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cluponka [151]

Answer:

$\displaystyle f(x)=\frac{1}{x(x-3)}$

Option C.

Step-by-step explanation:

<u>Asymptotes Of A Rational Function</u>

We can easily recognize if x=a is a vertical asymptote of a given function f(x) because its graph tends to quickly increase or decrease getting closer to the vertical line x=a but never actually touching it.

We can see in the graph provided, there are two vertical lines, one at x=0 and the other at x=3 (assuming the x-scale is 2). It means the denominator tends to zero at both of those values, i.e. there must be factors like (x-0)(x-3)=x(x-3). The only option with these characteristics is the last one

$\boxed{\displaystyle f(x)=\frac{1}{x(x-3)}}$