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Wittaler [7]
3 years ago
15

The length of segment AB is 5 units. What is the length of segment A'B'?

Mathematics
1 answer:
zhenek [66]3 years ago
5 0

Step-by-step explanation:

13 units

We have,

A=(−1,3),B=(4,−9)

We know that the distance between two points

d=

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

Therefore,

d=

(4−(−1))

2

+(−9−3)

2

d=

(4+1)

2

+(−12)

2

d=

(5)

2

+(−12)

2

d=

25+144

d=

169

d=13 units

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1/3 cup of flour is used to make 5 dinner rolls.
RoseWind [281]

we know that

\frac{1}{3} cup of flour is used to make 5 dinner rolls.

Part a) How much flour is needed to make one dinner roll?

by using proportion

\frac{\frac{1}{3}}{5}  =\frac{x}{1} \\ \\ x=\frac{\frac{1}{3}}{5}\\ \\ x=\frac{1}{15}

therefore

the answer Part a) is

To make one dinner roll is needed \frac{1}{15} cup of flour

Part b) How many cups of flour are needed to make 3 dozen dinner rolls?

Multiply the value obtained in part a) by 36

so

\frac{1}{15} *36=\frac{36}{15} \\ \\ =\frac{12}{5}

\frac{12}{5} =2\frac{2}{5}

therefore

the answer Part b) is

To make 3 dozen dinner rolls are needed 2\frac{2}{5} cup of flour

Part c) How many rolls can you make with 5 2/3 cups of flour?

5\frac{2}{3} =\frac{17}{3}

by using proportion

\frac{\frac{1}{3}}{5}  =\frac{\frac{17}{3}}{x} \\ \\ \frac{x}{3} =\frac{85}{3} \\ \\ x=85

therefore

the answer part c) is

85 rolls

6 0
3 years ago
Read 2 more answers
What is the height of the following triangle if the area is 60 square meters? Do not round your answer.
olga nikolaevna [1]

Answer: Height = 8 m

Step-by-step explanation: We have to find h...

We're given two values

A = 60

B = 15

60 is equal to 1/2 x 15

Solve for h:

h = 60 / (1/2 x 15)

h = 60 divided by 7.5

h = 8

I hope this helps!

5 0
3 years ago
M - 1 = 2 what do I need to do to solve.
andreyandreev [35.5K]

In order to solve this, start by adding 1 to both sides of the equation.


m-1=2

+1 +1

-----------

m=3


The solution to your equation is 3.


You can also check to see if this is true by replacing m with 3.

m-1=2

3-1=2

7 0
3 years ago
Help? -Factoring polynomials
OLEGan [10]

Answer:

False

Step-by-step explanation:

If we have a factor then the remainder after the division will be zero.

8 0
3 years ago
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Help help help help help
Mkey [24]

Answer:

  x = 42

Step-by-step explanation:

The marked angles are supplementary, so their sum is 180°.

  (2x +8) +(2x +4) = 180

  4x +12 = 180 . . . . . . . . . simplify

  x +3 = 45 . . . . . . . divide by 4 (because we can)

  x = 42 . . . . . . subtract 3

_____

<em>Additional comment</em>

A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and  eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.

5 0
2 years ago
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