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kozerog [31]
3 years ago
12

E is the midpoint of Df, DE=2x+4, and EF=3x-1. Find all segment lengths

Mathematics
1 answer:
sertanlavr [38]3 years ago
6 0
If E is the midpoint, DE and EF are equivalent.
2x+4=3x-1
4=x-1
5=x

Plug the value of x in
2(5)+4
14

3(5)-1
14

14+14=28

Final answer: DE=14, EF=14, DF= 28
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Simplify the variable expression by evaluating it's numerical part m-13+42-6
goldfiish [28.3K]

ANSWER

m + 23

EXPLANATION

The given expression is

m - 13 + 42 - 6

We regroup the numerical parts to get;

m + 42 - 6 - 13

Now let us simplify the negative numbers.

m + 42 - 19

We now subtract 19 from 42 to get;

m + 23

We can't simplify further

Hence the simplest form is:

m + 23

3 0
3 years ago
The sum of two numbers is 63. The larger number is 23 more than the smaller number. What are the numbers?
Sunny_sXe [5.5K]

x+y=63

x=y+23

y+23+y =63

2y +23 = 63

2y =40

y=40/2 =20

y = 20

x = 20+23=43

the numbers are 20 & 43

5 0
3 years ago
Read 2 more answers
Suppose that $2000 is invested at a rate of 4%, compounded semiannually. Assuming that no withdrawals are made, find the total a
creativ13 [48]

Answer:

Step-by-step explanation:

A = P(1+r/n)^ nt

A = 2000(1+.04/2)^(5*2)

A = 2000(1.02)^{10} = $2437.99

5 0
3 years ago
Ben needs to run 3 kilometers. He already ran 1,200 meters. How much farther does he need to run?
Tanya [424]
1800 meters or 1.8 kilometers
7 0
3 years ago
An element with mass 330 grams decays by 25. 5% per minute. How much of the element is remaining after 5 minutes, to the nearest
yaroslaw [1]

The amount of mass after 5 minutes is 75.74 grams.

It is given that

The amount initially = 330grams

After every minute mass decays by 25.5%

<h3>What is the percentage?</h3>

The percentage is the value per hundred.

Amount after 1 min = 330-330*25.5/100 = 245.85grams

Amount after 2 min = 245.85-245.85*25.5/100 = 183.16grams

Amount after 3min = 183.16-183.16*25.5/100 = 136.45grams

Amount after 4 min = 136.45-136.45*25.5/100= 101.66grams

Amount after 5 min =101.66-101.66*25.5/100 = 75.74grams

Therefore, the amount of mass after 5 minutes is 75.74 grams.

To get more about percentage visit:

brainly.com/question/24304697

7 0
2 years ago
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