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V125BC [204]
3 years ago
13

The point D(2, -5) is rotated 90° counterclockwise around the origin. What are the coordinates of the resulting point, D′?

Mathematics
1 answer:
jeyben [28]3 years ago
8 0

Answer:

D' = (5, 2)

Step-by-step explanation:

Try to join D and the origin using a line. Counterclockwise means in an opposite direction of rotation of the clock hands. So draw another line towards the right which is perpendicular to the previous line to fine the answer. Remember the length of the lines should be equal.

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If angle 1 is 150°, what is angle 4 and angle 7?
Anna71 [15]
Angle four is 30° and angle 7 is 150! angle four equals 30° because a straight line equals 180, and 180-150=30. angle 7 is 150 through corresponding angles
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3 years ago
Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in ord
Readme [11.4K]

Answer:

Area of parallelogram is 150 square ft

Step-by-step explanation:

Given the parallelogram in the figure whose height is 10 ft and base length is 15 ft.

Area of parallelogram is base \times height

                                       = 15\times 10ft^2

                                       = 150 square ft

now we have to decompose this parallelogram into rectangles and triangles and then to determine the shape.

The given parallelogram KLMN can be decomposed into 2 triangles and one rectangle.

2 right angled triangles KPL and NOM by construction

KL^{2}=KP^{2}+PL^{2}=10^{2}+2^{2}                                          =100+4=104

⇒ KL=\sqrt104=10.2 ft=MN         (∵ KLMN is a parallelogram)

Hence, dimension of triangles are 10 ft, 2 ft and 10.2 ft

Now rectangle KPON with dimension 15 ft and 10 ft because KP and NO are perpendiculars on LM.



5 0
3 years ago
- 5 .5 ( d - 2 ) = - 12. 1
OverLord2011 [107]

Answer:

D = 4.2

Step-by-step explanation:

-5.5 ( d - 2 ) = - 12.1

-5.5d + 11 = - 12.1

11 + 12.1 = 5.5d

23.1 = 5.5d

d = 23.1 ÷ 5.5

d = 4.2

5 0
3 years ago
Please help and show work​
melisa1 [442]

Answer:

first one is simnple cross multiply and divide

12*7=4x

84=4x

x=21

2nd same process but more steps

7x=5(x+8)

7x=5x+40

7x-5x=40

2x=40

x=20

Step-by-step explanation:

4 0
3 years ago
Solve log2x = log53 + 1 by graphing. Round to the nearest tenth.<br> What does X equal?
Neko [114]

Answer:

3.2 plz help me to

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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