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Arada [10]
3 years ago
10

Point D is rotated 180 degrees using B as the center. Explain why the image of D must lie on the ray BA.

Mathematics
1 answer:
Igoryamba3 years ago
5 0

Answer:

The image of D must lie on the ray BA, since ray BA is antiparallel to ray BD. That is, the angle between both rays is 180 degrees.

Step-by-step explanation:

Let be D' the image of D such that D is rotated 180 degrees counterclockwise with B as center of rotation.

D' must lie on the ray BA, since ray BA is antiparallel to ray BD. That is, the angle between both rays is 180 degrees.

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Using your answer from part (b) and inequality symbols, write one statement that shows the relationship among all of the numbers
Natali5045456 [20]

Answer:

(b) Least to greatest numbers are -1.0, -\frac{1}{4} , 0, 0.5, 1.5

(c) -1.0 <  -\frac{1}{4}  < 0 < 0.5 < 1.5

OR

1.5 > 0.5 > 0 >  -\frac{1}{4}  > -1.0

Step-by-step explanation:

P.S - The exact question is -

Given - Kendra collected data for her science project. She surveyed

             people asking them how many hours they sleep during a

             typical night.

             The chart below shows how each person’s response compares

              to 8 hours (which is the answer she  expected most people to say).

Name                Number of Hours                       Compared to Hours

                         (usually slept each night)

Frankie                        8.5                                                    0.5

Mr. Fields                      7                                                      −1.0

Karla                             9.5                                                     1.5

Louis                             8                                                         0

Tiffany                            7\frac{3}{4}                                                       -\frac{1}{4}

To find - (a) Plot and label each of the numbers in the right-most column

                   of the table above on the number line below.

               (b) List the numbers from least to greatest.

                (c) Using your answer from part (b) and inequality symbols,

                     write one statement that shows the relationship  among all

                     of the numbers.

Proof -

(a)

We can see that the numbers in the right-most column are  0.5, -1.0, 1.5, 0, -\frac{1}{4}

We can write -\frac{1}{4} = -0.25

Now,

We have to label them in the number line

The number line is as follows :

(b)

Least to greatest numbers are -1.0, -\frac{1}{4} , 0, 0.5, 1.5

(c)

By using inequality symbol, we get

-1.0 <  -\frac{1}{4}  < 0 < 0.5 < 1.5

OR

1.5 > 0.5 > 0 >  -\frac{1}{4}  > -1.0

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4.
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The answer is none. There are no solutions
6 0
3 years ago
The question is in the picture​
otez555 [7]

Answer:

x=27.8

Step-by-step explanation:

first, you need to find y. 2y-5=65. 65+5 is 60 and you are left with 2y=70. to get the 2 off of the y you divide everything by 2. 70/2 is 35 therefor y=35. Now you plug that into the other equation (2x+y) and get 2x+35 which is equal to segment 90.6 so 2x+35=90.6. subtract 35 on both sides and you have 2x=55.6. To get the 2 off the x, we divide everything by 2. all of that divided by 2 is x=27.8

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2 years ago
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