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Firlakuza [10]
3 years ago
15

Point e is between points d and f. If DE=x-4,EF=2x+5 and DF=4x-8, find x number 17 help please

Mathematics
2 answers:
Murljashka [212]3 years ago
4 0
DF =DE + EF
4x-8 = x-4 + 2x+5 
4x - 8 = 3x + 1
4x - 3x = 1 + 8
x = 9

Anna007 [38]3 years ago
4 0

Answer:  The required value of x is 9.

Step-by-step explanation:  Given that point E is between the points D and F.

Also, DE = x - 4, EF = 2x + 5  and DF = 4x - 8.

We are to find the value of x.

Since the point E lies between the points D and F, so we must have

DE+EF=DF\\\\\Rightarrow (x-4)+(2x+5)=4x-8\\\\\Rightarrow 3x+1=4x-8\\\\\Rightarrow 4x-3x=1+8\\\\\Rightarrow x=9.

Thus, the required value of x is 9.

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James asked 60 pupils which drink they liked best from cola, milk and water.
Olin [163]

Answer:

26

Step-by-step explanation:

There are 60 pupils in the survey

32 are boys, so we assume 28 are girls

12 of the boys said cola was their favourite

4 boys liked water best.

That is a total of 16 boys who prefer either cola or water out of 32 total boys

There are 16 boys leftover who must have milk as there favourite

9 girls liked water best

21 pupils altogether said milk was there favourite. We know there are 16 boys who said milk was there favourite, meaning 5 of these pupils must be girls.

That means 9 girls have water as their favourite and 5 have milk as their favourite, a total of 14

We know there are 28 girls total. That means 14 of them must have listed cola as their favourite drink.

There are 14 girls and 12 boys who said cola was their favourite, a total of 26 pupils

6 0
3 years ago
What is the equivalent form of the mathematical expression 14 + 35?
Ira Lisetskai [31]

Answer: 7(2 + 5)

Step-by-step explanation:

7(2 + 5)

14 + 35

4 0
3 years ago
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Someone help me please
Orlov [11]

Answer:

A 500.00 look there's a pattern

5 0
3 years ago
Find the slope of the line that passes through the points (-6, 1) and (4,8)
I am Lyosha [343]

Answer:slope =7/10

Step-by-step explanation:

slope=(y-y0) ➗ (x-x0)

Slope=(8-1) ➗ (4-(-6))

Slope=7 ➗ (4+6)

Slope=7 ➗ 10

Slope=7/10

3 0
3 years ago
I need help with this within the next /0 mins sum1 plz help
guajiro [1.7K]

Answer: Second option.

Step-by-step explanation:

Given the function f(x), which is:

f(x)=x

And given the function g(x), which is:

g(x)=2

You need to substiute the function g(x)=2  into the function  f(x)=x in order to find (fog)(x).

Therefore, through this procedure, you get this answer:

(fog)(x)=(2)

(fog)(x)=2

You can observe that this matches with the second option.

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3 years ago
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