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Veseljchak [2.6K]
3 years ago
9

If EF = 5w + 20, FG = 7w + 28, and EG = 72, find the value of w. Find EF and FG

Mathematics
1 answer:
IrinaK [193]3 years ago
7 0

Answer:

 w = 2, EF = 30 , FG = 42

Explanation:

We have EF = 5w + 20  and FG = 7w + 28

 Since these points E, F and G are col-linear points we have.

    EG = EF + FG

  And given that EG = 72

So, EF+EG = 72

     5w + 20 + 7w + 28 = 72

     12w + 48 = 72

      12 w = 24

       w = 2

So EF = 5w + 20 = 5x2 + 20 = 30

     FG = 7w + 28 = 7x2 + 28 = 42

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12x^2+20=50 what is x
LenaWriter [7]

Answer: x=1.5811389999999999 , or 1.59

Step-by-step explanation:

First, Subtract 20 from both sides.

      12x2+20−20=50−20

      12x2=30

 Then, Divide both sides by 12:

12x^2/12 = 30/12

⇒ you get : x^2 = 5/2

After, Take square root.

x= ± √ 5/2

Finally you answer is going to be =1.5811389999999999 OR, 1.59

* Hopefully this helps:) Mark me the brainliest:)

<em>∞ 234483279c20∞</em>

7 0
3 years ago
Simon has more money than Kande. if Simon gave Kande K20, they would have the same amount. While if Kande gave Simon $22, Simon
motikmotik

Given parameters;

  Let us solve this problem step by step;

Let us represent Simon's money by S

Kande's money by K

  • Simon has more money than Kande

               S > K

  •  if Simon gave Kande K20, they would have the same amount;

 if Simon gives $20, his money will be  S - 20 lesser;

      When Kande receives $20, his money will increase to K + 20

                     S - 20  = K + 20   ------ (i)

  • While if Kande gave Simon $22, Simon would then have twice as much as Kande;

          if Kande gave Simon $22, his money will be K - 22

    Simon's money, S + 22;

                  S + 22  = 2(K - 22)    ------ (ii)

Now we have set up two equations, let us solve;

         S - 20  = K + 20  ---- i

         S + 22  = 2(K - 22)  ;       S + 22  = 2K - 44  ---- ii

So,      S - 20  = K + 20

          S + 22  = 2K - 44

subtract both equations;

               -20 - 22  = (k -2k)  + 64

                   -42  = -k + 64

                       k  = 106

Using equation i, let us find S;

            S - 20 = K + 20

             S - 20  = 106 + 20

              S = 106 + 20 + 20  = 146

Therefore, Kande has $106 and Simon has $146

3 0
3 years ago
PLZ HELP!!!!!! (WILL GIVE BRAINLIEST!!!!)
nasty-shy [4]
I think you times all of the inchs together. 5x3x2=30.

I dont know if i am right tho. Hope this help ya.
3 0
3 years ago
The expected activity time in PERT analysis is calculated as: the weighted average of a, m, and b, with m weighted 4 times as he
maria [59]

Answer:

\text{the weighted average of a, m, and b, with m weighted 4 times as heavily as a and b.}

Step-by-step explanation:

\text{The expected activity time in PERT analysis is calculated as:}

\mathbf{\dfrac{a+4m + b}{6}}

where;

\text{a = optimistic duration; }

\text{m = most likely duration and;}

\text{ b = pessimistic duration     from the above formula.}

3 0
3 years ago
The Correct Answer Is?
Alekssandra [29.7K]
Hello!

n<span>≤-1/2 means that n is less than the open circle, because an open circle means the variable can not be equal to that point. so your answer is: D

I hope this helps, and have a nice day.
</span>
8 0
3 years ago
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