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True [87]
3 years ago
13

The diagram above shows a square PQUV and a regular pentagon QRSTU.Find the value of x.​

Mathematics
1 answer:
Misha Larkins [42]3 years ago
3 0

Answer:

Each interior angle of a pentagon equals 108 degrees.

Therefore Angle U = 108 degrees.

The angle of the square is 90 degrees.

Therefore, Angle x = 360 - 108 -90 degrees = 162 degrees!

Step-by-step explanation:

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Describe all of the transformations occurring as the parent function f(x) = x^3 is transformed into g(x) = -0.5(3(x+4))^3 -8
hodyreva [135]

Step-by-step explanation:

The translations of the typical functions are

y = a(bx + c)  + d

Where a is the vertical translation,

If a is greater than 1 or less than -1, we have a vertical stretch

If a is between -1 and 1 , we have a vertical compressions or shrink.

If a is negative, we have a negative reflection across the x axis.

If b is greater than 1 or less than -1, we have a horizontal compression or shrink

If b is between -1 and 1, we have a horizontal stretch

If b is negative, we have a reflection about the y axis,

If c is negative, we have a translation to the right c units

If c is positive, we have a translation to the left c units

If d is positive, we have a translation upward d units

If d is negative, we have a translation downward d units.

Here in this problem, our parent function is x^3.

So I would do the following transformations.

  • Reflect about the x axis
  • Vertical Shrink by a factor of 1/2
  • Horizontal Shrink by a factor of 3
  • Shift to the left 4 units
  • Shift downward 8 units.

4 0
1 year ago
A bicyclist travels at a constant speed of 12 miles per hour for a total of 45 minutes. (Use set notation for the domain and ran
Mamont248 [21]

A bicyclist travels at a constant speed of 12 miles per hour for a total of 45 minutes.

We know the formula , Distance = speed * time

Speed is constant and it is 12. So it  is linear

The function becomes d = 12t, x is the t is the time and d is the distance

At the starting point, t=0  and distance d=0

End point , t=45 min = 0.75 hours and distance = 12 * 0.75 = 9

So domain (t) is {x|0}

Range (d) is {y|0}

5 0
3 years ago
Read 2 more answers
What is one point that lies in the solution set of the system of inequalities graphed below?
Lunna [17]

Answer:

(7, 0).

Step-by-step explanation:

Where the diagonal lines overlap to form squares is where the solutions to the inequality lies.

The point (7, 0) lies in that region.

8 0
3 years ago
Determine the slope of a line that passes through A(-4, 7) and B(6,3)
Helga [31]

Answer:

m=\frac{-2}{5}

Step-by-step explanation:

<u>Use the formula:</u>

m=\frac{y_2-y_1}{x_2-x_1}

<u>Plug in the numbers (coordinates) given, like so:</u>

m=\frac{3-7}{6+4}

m=\frac{-4}{10}

<u>Simplify:</u>

<u />m=\frac{-2}{5}

7 0
3 years ago
Read 2 more answers
A. Draw the image of ΔDEF after a rotation of 90° clockwise about the point (1,0). Label the image ΔD’E’F’.
irina [24]

Answer:

  see the attachment

Step-by-step explanation:

(a) Clockwise rotation moves a point from (x, y) to (y, -x).

__

(b) Reflection across x=1 moves a point from (x, y) to (2-x, y).

7 0
3 years ago
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