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Nadusha1986 [10]
3 years ago
5

The angle of rotation at which point A’ coincidences point

Mathematics
1 answer:
anygoal [31]3 years ago
8 0

Answer:

216 degrees

Step-by-step explanation:

Given that ABCDE is a regular pentagon.

Hence each angle would equal = {2(5)-4}/5 right angles

=6(90)/5 =108 degrees

Since regular pentagon rotation will not disturb the shape.

When counterclockwise rotated, if 108 degrees rotated A would become E.

For another 108 degrees A would come to D

Hence angle required for rotation for A to coincide with D = 2(108)

=216 degrees

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Which two expressions are
Oxana [17]

Answer:

9(2p-18) and 2(9p-18)

Step-by-step explanation:

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65pts! plot the vertex and the axis of symmetry of this function:
Mashcka [7]

Answer:

f(x)=(x−3)2−5

Find the properties of the given parabola.

Direction:

Vertex: (3,−5)

Focus: (3,−194)

Axis of Symmetry: x=3

Directrix: y=−214

Select a few x

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values should be selected around the vertex.

x  y

1   -1

2  -4

3   -5

4   -4

5    -1

Graph the parabola using its properties and the selected points.

Direction:

Vertex: (3,−5)

Focus: (3,−194)

Axis of Symmetry: x=3

Directrix: y=−214

x  y

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2  -4

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4 0
3 years ago
Read 2 more answers
Ratio equivalent to 48:24
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3 0
3 years ago
Find the area of the trapezoid. points are (-5,-3)(4,-3)(6,-7)(-7,-7)​
Olegator [25]

Answer:

44 square units

Step-by-step explanation:

The area of a trapezoid with bases b₁ and b₂ and height h is given by the formula

A=\left(\dfrac{b_1+b_2}{2}\right)h

If you're wondering how we get this formula, check the attached illustration (remember the area of a parallelogram is its base multiplied by its height)! Moving on to our trapezoid, the pairs of points (-5,-3)(4,-3) and (6,-7)(-7,-7) form two horizontal segments, which form b₁ and b₂, and our height is the distance between the y-coordinates -3 and -7, which is 4. We can find b₁ and b₂ by finding the distance between the x coordinates in their pairs of points:

b_1=|-5-4|=|-9|=9\\b_2=|6-(-7)|=|6+7|=13

Putting it altogether:

A=\left(\dfrac{9+13}{2}\right)(4)=\left(\dfrac{22}{2}\right)(4)=(11)(4)=44

So the area of our trapezoid is 44.

4 0
3 years ago
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