Consider the triangles.

Mathematics

1 answer:

IgorLugansk [536]3 years ago

3 0

Two pairs of corresponding angles are congruent, so the triangles are similar.

The correct option is (A).

<h3> What is similarity in triangles?</h3>

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

As, the measurement of two angles are equal.

So, the angles are congruent.

Hence, by AA criteria the triangles are similar.

Learn more about similarity here:

brainly.com/question/25882965

#SPJ1

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Classify each statement about the function f(3) = 323 +6 as true or false.

Gre4nikov [31]

Answer:

true.

false

true.

false.

Step-by-step explanation:

1. The domain (x-value) of a function is (-∞, +∞) unless there is some reason for it <u>not </u>to be. No matter what we make x, we do not wind up with something forbidden in the real-number coordinate plane, like a zero denominator or a square root of a negative number, so the domain for x is all real numbers. True.

2. The statement says the range (the y-value) of the function must always be more than zero. There is no particular reason to belive that. If x = -10, then x³ + 6 = -1000 + 6 = -994, which is less that zero. False.

3. We get the y-intercept by making x equal zero. In tha case y = 0³ + 6 = 6. The y-intercept always has an x-coordinate of zero, so the point is (x, y) = (0, 6). True.

4. If a function has symmetry about the origin point, then replacing y with -y and x with -x will get you an equation equivalent to the original. let's try it.

-y = 3(-x)³ + 6 now lets see what happens it we let x = 2

For the original equation: y = 3(2)³ + 6 = 3(8) + 6 = 24 + 6 = 30

Now we try the test equation: -y = 3(-2)³ + 6 = 3(-8) + 6 = -24 + 6 = -18

So -y = -18

So y = 18

The first equation and the test equation are not equivalent, as they do not yield the same results for the same value of x.

Thus, the origin is <u>not </u>a point of symmetry. False.

I am attaching a picture of this function's graph so you can see the actual point of symmetry is (0, 6), which is also the y-intercept. I made it on Desmos dot com, which is free for everyone.