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Firdavs [7]
3 years ago
10

If EG=49, EF=2x+3, and FG=4x-2, find x. Then find EF and FG. Justify your work.

Mathematics
1 answer:
harina [27]3 years ago
4 0

Answer:

Step-by-step explanation:

2x + 3 + 4x - 2 = 49

6x + 1 = 49

6x = 48

x = 8

EF: 2(8) + 3 = 16 + 3 = 19

FG: 4(8) - 2 = 32 - 2 = 30

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im a senior trying to graduate my school has me in the wrong classes i have adhd and i was supposed to be in diffrent classes bu
CaHeK987 [17]

Step-by-step explanation:

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8 0
2 years ago
In the diagram, BC¯¯¯¯¯∥DE¯¯¯¯¯ .<br><br> What is AE ?
emmainna [20.7K]
So there are two triangles here: Smaller one (ADE) and bigger one (ABC) and they both are similar.

So you can use proportions here.

AB / AC = AD / AE

AB = AD + DB = 6 + 1 = 7
AC = AE + 3

AD = 6

So plug in these values:

AB / AC = AD / AE becomes
7 / (AE + 3) = 6 / AE

Now do the cross multiply:

7 AE = 6 (AE + 3)

Now solve for AE:

7AE = 6AE + 18

AE = 18
6 0
2 years ago
5/7 divided by 20/5 <br> then simply it completely
Pavlova-9 [17]

Answer:

5 / 28

Step-by-step explanation:

5/7 ÷ 20/5

= 5/7 x  5/20

= (5 x 5) / (7 x 20)

= 25 / 140    (divide numerator and denominator by 5)

= 5 / 28

5 0
3 years ago
8 to the power 1/6 times 2 to the power x equals 32 to the power 1/2
Elza [17]

The exact value of x is 2.

<h3>What is linear equation?</h3>

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. This is sometimes referred to as a "linear equation with two variables," where y and x are the variables.

8⁽¹/⁶⁾ x 2ˣ = 32⁽¹/²⁾

32⁽¹/²⁾ = 2⁵⁽¹/²⁾

32⁽¹/²⁾ = 2⁽⁵/²⁾

8⁽¹/⁶⁾ = 2³⁽¹/⁶⁾

8⁽¹/⁶⁾ = 2⁽¹/²⁾

8⁽¹/⁶⁾ x 2ˣ = 2⁽¹/²⁾ x 2ˣ

= 2⁽¹/²⁾+ˣ  

= 2⁽¹/²+ˣ⁾

since 8⁽¹/⁶⁾ x 2ˣ  = 32⁽¹/²⁾

= 2⁽⁵/²⁾

2⁽¹/²+ˣ⁾ = 2⁽⁵/²⁾

equate the powers

1/2+ x = 5/2

subtract 1/2 from both sides

x = 5/2 - 1/2

x = (5-1)/2

x = 4/2

x= 2

Therefore, x = 2 is the exact value of x.

To know more about linear equation, visit:

brainly.com/question/11897796

#SPJ9

4 0
11 months ago
Need help ASAP!!! Write two ratios that are equal to 3 girls to five boys
Evgesh-ka [11]
Here you go:

3 to five or 5 to 3
4 0
2 years ago
Read 2 more answers
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