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PolarNik [594]
3 years ago
12

CD is the segment bisector of AB at D. If AD = 4x-1 and DB = 9x-21. what is the length of AD and AB

Mathematics
1 answer:
Artemon [7]3 years ago
3 0

Answer:

AD= 15

AB=30

Step-by-step explanation:

We are given that the Point D bisect the line segment AB

Hence AD = DB

AD= 4x-1

BD=9x-21

Hence

4x-1=9x-21

adding 21 on both sides and subtracting 4x from both sides

4x-4x-1+21=9x-4x-21+21

-1+21=5x

5x=20

dividing both sides by x we get

x=4

Hence

AD = 4x-1

= 4(4)-1= 16-1=15

AD= 15

AB = 2 x AD

     = 2 x 15

  = 30

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O A box contains 40 oranges, 12 of which are
konstantin123 [22]

Step-by-step explanation:

Nø of sample space, n(s) = 40

nø of unripe oranges, n (u) = 12

no of ripe oranges, n (r) = 40 - 12 = 28

Now

The probability that it is ripe is, P(E)

= n(r) / n(s)

= 28 / 40

= 7 / 10

Also the probability that it is unripe is, P(E)

= n(u) / n(s)

= 12 / 40

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Hope it will help :)❤

5 0
2 years ago
What is the equation of the line which has a gradient of 2 and passes through the point (1,4)
timofeeve [1]

Answer:

Y= 2x+2

Step-by-step explanation:

line equation is y=mx +c


m is the gradient = 2

We are given an x and y value

X= 1
y= 4


substitute that into the equation:

4= 2(1) +c

2=c


Put all the equation together:

Y= 2x+2

5 0
2 years ago
One canned juice drink is 25​%orange​ juice; another is 10​%orange juice. how many liters of each should be mixed together in or
sertanlavr [38]
               Qty     ·     %      =      Total
Drink 1:    x            .25      =      .25x
Drink 2:   15 - x      .10      =      .10(15 - x)
Mixture:  15            .21     =       .25x + .10(15 - x)

                       (15)(.21)   =     .25x + 1.5 - .10x
                           3.15      =     .15x + 1.5
                           1.65      =     .15x
                               11     =       x

Drink 1 (25%) is 11 liters
Drink 2 (10%) is 15 - 11 = 4 liters
6 0
3 years ago
Pleaseee answer asap.. thanks
andreyandreev [35.5K]

Answer:

the answer will be D

Step-by-step explanation:

5 0
3 years ago
What would be the order?
Oduvanchick [21]

Answer:

<em>17/2, 8.8 with bar on right 8, |-9|, sqrt(82)</em>

Step-by-step explanation:

sqrt(82) = 9.05538...

17/2 = 8.5

8.8 with bar on right 8 = 8.8888888...

|-9| = 9

In order from least to greatest: 17/2, 8.8 with bar on right 8, |-9|, sqrt(82)

3 0
3 years ago
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