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Iteru [2.4K]
3 years ago
14

Are the polygons below similar? If they are, write a statement and give the scale factor.

Mathematics
1 answer:
olchik [2.2K]3 years ago
8 0

Answer:

Yes they are similar. Triangle ABC is similar to Triangle FED. The scale factor from large to small is 3/4 or small to large is 4/3.

Step-by-step explanation:

To determine if two triangles are similar, their corresponding sides create equal ratios.

\frac{AB}{FE} = \frac{BC}{ED}= \frac{CA}{FD}   \\\\\frac{15}{20} =\frac{12}{16} =\frac{18}{24} \\\\ \frac{3}{4} =\frac{3}{4} =\frac{3}{4}

This ratio is the scale factor depending on which is the pre-image. 3/4 or 4/3.

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I THINK 1

Step-by-step explanation:

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3 years ago
Is a triangle with 2 angles both measuring 40 degrees acute
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No. The definition of an acute triangle is, all three angles must be less than 90°.
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1.The table provides various values, including all minimums and maximums, of a cosine function f (x) on the interval [0, 2π].
ElenaW [278]

Problem 1

<h3>Answer: D) 2pi</h3>

-------------------

Explanation:

The given table we have is

\begin{array}{|c|c|c|c|c|c|c|} \cline{1-7}\text{Angle} & 0 & \pi/6 & \pi/2 & 5\pi/6 & 3\pi/2 & 2\pi\\ \cline{1-7}f(x) & 1 & 0 & -1 & 0 & 3 & 1\\ \cline{1-7}\end{array}

If you were to graph all those points and draw a cosine curve through them, then the function you should get is

y = 2\cos\left(x+\frac{\pi}{2}\right)+1

The B coefficient is 1, so that leads to a period of

T = 2pi/B

T = 2pi/1

T = 2pi

=============================================

Problem 2

<h3>Answer: C) 343.134 yards</h3>

-------------------

Explanation:

Draw out a triangle with these properties

  • side a = 270
  • side b = 170
  • angle C = 100

We'll use the law of cosines to find side c

c^2 = a^2 + b^2 - 2*a*b*cos(C)

c^2 = 270^2 + 170^2 - 2*270*170*cos(100)

c^2 = 117740.902710

c = sqrt(117740.902710)

c = 343.133943

c = 343.134

=============================================

Problem 3

<h3>Answer: A) 2</h3>

-------------------

Explanation:

If you started with y = sin(x) and applied the transformations stated, then you should end up with y = 2\sin\left(2(x+\frac{\pi}{4})\right)\\\\

From here, plug in x = 0 to find the y intercept.

y = 2\sin\left(2(x+\frac{\pi}{4})\right)\\\\y = 2\sin\left(2(0+\frac{\pi}{4})\right)\\\\y = 2\sin\left(\frac{\pi}{2}\right)\\\\y = 2*1\\\\y = 2\\\\

7 0
3 years ago
If you have a rectangle with the width of 6 in and a length of 10 in. And you want to create a scaled copy using a scale factor
snow_tiger [21]

Answer:

The new side lengths will be 24 inches and 40 inches

Step-by-step explanation:

Here, given the width and length of a rectangle and we want to create a scaled copy using a scale factor of 4, we want to know the new side lengths

What we simply want to do here is to scale up or dilate the side lengths of the rectangle using a scale factor of 4

Hence, the new side lengths will be (4 * 6) inches and (10 * 4) inches

The new side lengths will be 24 inches and 40 inches

7 0
3 years ago
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raketka [301]

Answer:

The answer is =4d+11x

Step-by-step explanation:

8x + 9d + 3x -5d

=9d-5d+8x+3x

=4d+11x

4 0
3 years ago
Read 2 more answers
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