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NeX [460]
3 years ago
5

In the given figure, C is the midpoint of AB and M is the midpoint of AC . Find the length of NB if MC = 4 and AN = 14.

Mathematics
1 answer:
Elina [12.6K]3 years ago
8 0

Answer:

Given MC = 4

AN = 14

To Find, the length of NB

Step-by-step explanation:

AB is a line which has midpoint “C”. Now the line is divided into two equal portion AC and CB.

The AC has midpoint “M” and MC is 4, so AM will also be 4.

N is the midpoint of CB. So, CB = CN + NB

Now we know AC = AM + MC = 4  + 4 =8

Given, AN = 14

AN = AC + CN

14 = 8 + CN

CN = 6

Since N is the midpoint of CB then, CN = NB

Therefore, the NB is 6

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Teagan believes she can use a division expression to find the amount of pizza each of 6 friends will eat if they share Four-fift
serg [7]

Answer:

Option (b)

Step-by-step explanation:

It is given that,

Total no of friends are 6

The share of each friend is 4/5

Pizza eaten by each friend is equal to the total pizza eaten divided by total no of friends. It can be given by :

=\dfrac{\dfrac{4}{5}}{6}\\\\=\dfrac{4}{5}\times \dfrac{1}{6}\\\\=\dfrac{2}{15}

It means that Teagan is correct in using a division expression because the question is about splitting a value into equal parts.  Hence, the correct option is (b).

3 0
3 years ago
Find the Least Common Multiple (L.C.M) and Highest Common Factor (H.C.F) of 20 and 30.​
Archy [21]

Answer:

LCM: 60

HCF: 10

Step-by-step explanation:

Listing Multiples

LCM:

Multiples of 20:

20, 40, 60, 80, 100

Multiples of 30:

30, 60, 90, 120

Therefore,

LCM(20, 30) = 60

----------------------------------------

Factorization

HCF:

The factors of 20 are: 1, 2, 4, 5, 10, 20

The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30

Then the greatest common factor is 10

8 0
3 years ago
A normal distribution has a mean of µ = 100 with σ = 20. if one score is randomly selected from this distribution, what is the p
avanturin [10]

Given: Mean of Normal distribution μ = 100, standard deviation σ =20

We have to find the probability that the score will be less than X=84

P(X < 84)

The z-score for x=84 is

Z = \frac{x-mean}{standard deviation}

Z = \frac{84-100}{20}

Z = -0.8

We have to find probability that Z < -0.8

Using Z score table to find the probability below z=-0.8 we get

P(Z < -0.8) = 0.2119

Hence the probability that the score will be less than x = 84 is 0.2119

8 0
3 years ago
Mr. Smith is ordering steaks to serve at a poker game with his friends. The first company charges a delivery fee of $10 plus $15
quester [9]

Answer:

3

Step-by-step explanation:

1. One= $25 Two= $40 Three= $55

2. One= $35 Two= $45 Three= $55

6 0
3 years ago
Three less than the product of six and x is 7
podryga [215]

the equation is:

6x - 3 = 7

Not sure if that's what you are asking?

If you solve for x that is:

x = 5/3

7 0
3 years ago
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