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spin [16.1K]
3 years ago
5

E is the midpoint of DF, DE = 3x + 4 and EF = 5x - 2. Find DE, EF, and DF.

Mathematics
1 answer:
Alisiya [41]3 years ago
8 0

Since E is the midpoint of DF, DE and EF are two halves of DF. First, let's write down what we know.

DE = 3x + 4

EF = 5x - 2

DE = EF

DE + EF = DF

Now, let's plug our values for DE and EF into our first expression.

3x + 4 = 5x -2

Add 2 to both sides and subtract 3x from both sides.

6 = 2x

Divide both sides by 2

3 = x

Let's plug 3 in for x into DE.

DE = 3x + 4 = 3(3) + 4 = 9 + 4 = 13

DE = EF = 13

We can plug 13 in for DE and EF to get DF

DF = DE + EF = 13 + 13 = 26

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Find the number, 112/ 100 of it is 56
Alinara [238K]
First let that number be y.
List the equation by the given info.
y x 112/100 = 56
Shift y to the other side by turning it to ÷y.
112/100 = 56/y
Use cross method,
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6 0
3 years ago
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vlabodo [156]
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5 0
3 years ago
Which of the following expressions represents the least common multiple of 15, 18, and 25?
Virty [35]

Answer:

(2)(3^2)(5^2)

Step-by-step explanation:

we know that

The <u>Least Common Multiple</u> (LCM) of a group of numbers is the smallest number that is a multiple of all the numbers.

we have

15,18 and 25

Decompose the numbers in prime factors

15=(3)(5)

18=(2)(3^2)

25=(5^2)

Multiply common and uncommon numbers with their greatest exponent

so

The LCM is equal to

LCM=(2)(3^2)(5^2)

LCM=450

7 0
3 years ago
The percent equivalent of 1.07 is ______ and the fraction equivalent is ______
lawyer [7]
1.07 as a percent is 107% 1.07 as a fraction is 1 1/14

Hope this helps!
6 0
3 years ago
Read 2 more answers
Okay, this is the last one. Ty for helping.
yawa3891 [41]

Answer:

128

Step-by-step explanation:

You get this by doing PEMDAS. We start with parenthises and then exponet so we do 4x4 which is 16 now we have 18-16+2 so we go in order and the anwser for the first line is 4 but we have an exponet so 16

now the second line we divide 1 and 4 we get 4 and now we multiply by 1/2 and we get 2. now we have 16/2 that is our anwser and we can put that to a whole number of 128

8 0
2 years ago
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