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Lelu [443]
3 years ago
14

Please help idk what I’m doing

Mathematics
1 answer:
dsp733 years ago
8 0

Answer:

  m∠FXM = 24°

Step-by-step explanation:

This problem has a lot of extra data that has no relation to the question. You can basically ignore any business about isosceles triangles and congruent segments.

__

The only thing you need to know is the angle sum theorem:

  m∠FXM + m∠MXA = m∠FXA

Filling in the numbers, you get ...

  m∠FXM + 72° = 96°

  m∠FXM = 96° -72° = 24°

The measure of angle FXM is 24°.     (matches choice A)

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Shown in the graph

<h2>Explanation:</h2>

Using graph tools we can graph the function:

g(x)=4x^2-16

which is the red graph shown below. As you can see, this is a parabola. The rule for vertical and horizontal shifts is as follows:

Let \ c \ be \ a \ positive \ real \ number. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:

\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)

Therefore, If we shift the red graph 9 units to the right and 1 down, our new function (let's call it h(x)) will be:

h(x)=4\left(x-9\right)^{2}-16-1 \\ \\ Simplifying: \\ \\ h(x)=4\left(x-9\right)^{2}-17

This graph is the blue graph below. Let's verify the transformation taking the vertex of the red graph:

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By translating the 9 units to the right and 1 down the vertex is also translated by the same rule, so:

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<h2>Learn more:</h2>

Cubic function: brainly.com/question/13773618#

#LearnWithBrainly

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