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FrozenT [24]
3 years ago
14

Find the point, M, that divides segment AB into a ratio of 4:7 if A is at (-33,0) and B is at (0, 44).

Mathematics
1 answer:
Amanda [17]3 years ago
5 0

Answer:

(-21, 16)  

Step-by-step explanation:

A is at (-33, 0) and B is at (0, 44),

A point that divides the line segment in a ratio of 4:7 also divides the differences of the x-and y-coordinates in the same ratio.

If we divide each distance into 11 equal parts and choose a length 4/11  of the distance, the other part will be 7/11 of the distance. The two parts will be in a ratio of 4:7.

For the x-coordinate,

x₂ - x₁ = 0 - (-33) = 0 + 33 = 33

(4/11) × 33 = 12

-33 + 12 = -21

The x-coordinate of M is (-21, 0).

For the y-coordinate,

y₂ - y₁ = 44 - 0 = 44

(4/11) × 44 = 16

0 + 16 = 16

The y-coordinate of M is (0, 16).

The coordinates of M are then (-21, 16).

The diagram below shows the point M that divides AB in a 4/7 ratio.

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2 years ago
Can someone help me solve this? Pls and ty!
Zanzabum

Answer:

H. 95°

Step-by-step explanation:

m∠BGC is 10° smaller than m∠CGD, which means that m∠BGC is x° - 10°

m∠DGE is 25° more than m∠EGF, which means that m∠DGE is x° + 25°

The sum of all angles in a placement like this will always equal 360°

So we put all the measures of all angles on one side of thee equation and set it equal to 360*

x° + x° - 10° + 2x° + 25° + 2x° + 3x° + 30° = 360°

After combining like terms we get 9x° + 45° = 360°

After some algebra we get x = 35°

Now at the start we said that m∠DGE is x + 25°

Plug in 35° for x and we get 35° + 25°

The final answer is m∠DGE = 95°

Edit: Sorry if my answer looks a bit confusing. This is actually my first answer on Brainly so I'm quite new to this experience.

5 0
2 years ago
Read 2 more answers
Use the data table provided to calculated the values requested below. Provide all answers to three decimal places.
babymother [125]

Answer:

1) 0.700

2) 0.730

3) 0.030

4) 0.959

Step-by-step explanation:

1) proportion of support for the ban with at least one child =

     \frac{no of support atleast 1 child}{Total no of atleast 1 child\\}

   = \frac{1739}{2485}

   = 0.700

2)  proportion of support for the ban with no child =

    = \frac{no of support with no child}{Total of no child}

    = \frac{3089}{4231}

    = 0.730

3) Difference in proportion of supporters for the ban between those with atleast one child and those with no child

    =  0.700 - 0.730

    = -0.03

4) Relative risk = \frac{proportion with atleast on child}{proportion with no child}

    = \frac{0.700}{0.730}  = 0.959

5 0
3 years ago
Some students washed 24 cars in 2 hours. how many cars can they wash in 15 hours?
Radda [10]
Itd be c.180 because itd be 12 cars each hour so times 12 by 15
7 0
3 years ago
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Think About the Process Which property of exponents do you use to simplify this​ expression? Simplify the expression. 12^8/12^4
Naya [18.7K]

Answer:

12^4 = 20736

Step-by-step explanation:

The property of exponents used to simplify : 12^8/12^4

The division property :

a^x / a^y = a^(x - y)

Therefore ;

12^8/12^4

12^8 / 12^4 = 12^(8 - 4) = 12^4 = 20,736

3 0
3 years ago
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