Select the correct similarity statement.

Mathematics

1 answer:

Nostrana [21]3 years ago

4 0

Answer:

∆STR ~ ∆RTQ

Step-by-step explanation:

For two fugures to be considered similar, it means the corresponding sides are proportional, and as such, the ratio of their corresponding sides are equal.

However, the corresponding angles of two similar figures are the same and equal.

Taking a look at the figure of the triangle given, ∆STR is a right angle triangle, and it is similar to ∆RTQ as the angle formed at <T in ∆RTQ = 90°.

<T in ∆STR = <T in ∆RTQ.

Therefore, the correct similarity statement is ∆STR ~ ∆RTQ.

The last option is correct.

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At which x value will f(x)=3x+3 exceed g(x)=3x+10

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Indeed, using a computer algebra system such as the ones on modern TI calculators and on many internet sites gives equality at $x=2.42, -2.31$ . By observing our graph, we see that $f(x) > g(x)$ when $x > 2.42$ or $x < -2.31$ .