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m_a_m_a [10]
3 years ago
9

If EF - 3x - 11, FG = 4x-10, and EG - 28, find the values of x, EF, and FG. The drawing is not to scale.

Mathematics
1 answer:
Gnom [1K]3 years ago
4 0

Answer:

Part 1) x=7

Part 2) EF=10\ units

Part 3) FG=18\ units

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the value of x

we know that

EG=EF+FG ---> by addition segment postulate

we have

EG=28\ units\\EF=3x-11\\FG=4x-10

substitute

28=(3x-11)+(4x-10)

solve for x

28=7x-21

7x=28+21

7x=491

x=7

step 2

Find the value of EF

EF=(3x-11)

substitute the value of x

EF=3(7)-11=10\ units

step 3

Find the value of FG

FG=(4x-10)

substitute the value of x

FG=4(7)-10=18\ units

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AysviL [449]

Answer:

15 Dimes and 75 Nickles

Step-by-step explanation:

N = Nickles

D = Dimes

5D + D = 90

6D= 90

D= 15

90 - 15 = 75

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4 0
3 years ago
For the following distribution: x p(x) 0 01.30 1 0.346 2 0.346 3 0.154 4 0.026 what is the mean of the distribution?
bogdanovich [222]

The mean of the distribution given is 0.569.

Given some distribution like under:

     x                           p(x)

     0                            0.650

     1                             0.216

     2                             0.087

     3                             0.026

     4                             0.014

      5                            0.009

We have to find the mean of the distribution.

Mean is the sum of numbers divided by the numbers which are taken into consideration. It is also known as average.

Mean=sum/n

To find the mean of distribution we have to find sum of x*p(x)

∑xp(x)=0*0.650+1*0.216+2*0.0087+3*0.026+4*0.014+5*0.009

=0+0.216+0.174+0.078+0.056+0.045

=0.569

Hence the mean of the distribution given in the question is 0.569.

Learn more about mean at brainly.com/question/1136789

#SPJ4

Distribution in the given question is wrong and the right question is as the right distribution is as under:

 x                           p(x)

     0                            0.650

     1                             0.216

     2                             0.087

     3                             0.026

     4                             0.014

     5                            0.009

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2 years ago
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I think the answer is letter C
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The formula for the volume of a pyramid is V=(1/3) ⁢B⁢h, where B is the area of the base and h is the height. Rearrange the form
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The first thing you have to do is to multiply both sides by 3 to get 3V=Bh.

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22/20 in simplest form
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Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
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