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Alecsey [184]
3 years ago
8

What is the length of CD?

Mathematics
1 answer:
Mumz [18]3 years ago
3 0

Answer:

CD = 4.4

Step-by-step explanation:

AD bisects <CAB into two equal angles. Therefore, based in the angle bisector theorem, the segments are proportional to each other. This implies that:

CD/CA = DB/AB

CD = ?

CA = 5.6

DB = 4

AB = 5.1

Therefore:

CD/5.6 = 4/5.1

Cross multiply

CD*5.1 = 4*5.6

CD*5.1 = 22.4

Divide both sides by 5.1

CD = 22.4/5.1

CD = 4.39215686

CD = 4.4 (1 decimal place)

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Given an x intercept of a quadratic function is at -1 and the axus if symetry is x=3 what is the other x intercept
Alisiya [41]
Simply find the difference between the intercept and axis of symmetry then apply it to the other side

-1 › 3 = 4
so
3 + 4 = 7

intercept = 7
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8. There are 12 people that have entered a gaming tournament with prizes for 1st place, 2nd place, and 3rd place. How many combi
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Step-by-step explanation:

When there is 3 places you have to sqaure 12 by 3
12^2= 144
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6 ︎︎≤︎ 2x, Solve for what x is
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Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
John is 3 years older than Jim. Jim is 4 years less than twice David’s age. How old are the three boys if their ages add up to 3
gulaghasi [49]

Answer:

15  years , 12  years , 8 years.

Step-by-step explanation:

Given:

John is 3 years older than Jim.

Jim is 4 years less than twice David’s age.

Ages of three boys add up to 35.

Question asked:

How old are the three boys?

Solution:

Let age of David = y

Let age of Jim = x

Then age of John will be = x + 3

As Jim is 4 years less than twice David’s age

Equation will be  , x = 2y - 4

Multiplying both side  by 2

                       = 2x = 4y - 8  (let equation 1 )

As ages of three boys add up to 35.

Equation will be,x + (x + 3) + y = 35

                           = 2x + 3 + y = 35

Subtracting both side by 3

                           =   2x + y = 32

                          = 2x = - y + 32  (let equation 2 )

subtracting equation 1 and 2,we get

                           =  2x = - y + 32

                          =   2x = 4y - 8

                          =  0 = - 5y + 40

                          = 5y = 40

dividing both side by 5

                              = y = 8 (David ages)

Then  ( age of Jim)  x = 2y - 4

                                 x = 2 \times8 - 4

                                    = 16 - 4

                                    = 12 years

Then age of John will be, x + 3

                                            = 12 + 3

                                            = 15 years

Thus, age of John = 15 years

Age of Jim = 12 years

Age of David = 8 years

7 0
3 years ago
What 2 fractions are equal to 4/10
melisa1 [442]

Step-by-step explanation: To find 2 fractions that are equivalent to 4/10, we either multiply or divide the numerator and denominator by the same number.

Notice however that 4/10 is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 4 and 10 which is 2. So if we divide the numerator and the denominator by 2, we get 2/5 so 1 fraction equivalent to 4/10 is 2/5.

If we multiply both the numerator and denominator of 4/10 by 512, we get the equivalent fraction 2048/5120. So this is another equivalent fraction.

It's important to understand that you can choose any number you want to multiply by as long as you do it to both the top and bottom.

3 0
4 years ago
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