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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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A DVD has a diameter of 34 centimeters. What is the area of the DVD? Round your answer to the nearest
nata0808 [166]

Answer:

907.46cm

Step-by-step explanation:

Area of Cirlce = πr^2

R= 17

R^2= 289

289 x 3.14 = 907.46

907.46cm

3 0
3 years ago
Read 2 more answers
Find the missing lengths of the sides.
Anarel [89]

Given:

The figure of a right angle triangle.

a=b

Hypotenuse = 9\sqrt{2} in.

To find:

The missing lengths of the sides.

Solution:

In the given right angle triangle both legs a and b are equal, and hypotenuse is 9\sqrt{2} in.

Using Pythagoras theorem, we get

Hyponteuse^2=Base^2+Perpendicular^2

(9\sqrt{2})^2=(a)^2+(b)^2

81(2)=(a)^2+(a)^2                    [\because a=b]

81(2)=2(a)^2

Divide both sides by 2.

81=(a)^2

Taking square root on both sides.

\pm \sqrt{81}=a

\pm 9=a

Side cannot be negative. So,

9=a

Thus, the missing side lengths are a=9 in and b=9 in.

Therefore, the correct option is C.

6 0
3 years ago
A swimming pool has a capacity of 2,500 gallons of water. The output of a hose is 25 gallon per minute. How much time would it t
g100num [7]

Answer:

  • 100 minutes

Solution:

<u>We know that:</u>

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Solution:

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4 0
2 years ago
Choose the correct zeros for the following quadratic function.
sesenic [268]

Answer:

c

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x^2+5x-14

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6 0
3 years ago
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Trava [24]

Answer:

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The given calculation is wrong because average (mean) cannot be calculated for nominal level of measurement.

Step-by-step explanation:

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a)

The data are at the <u> Nominal  </u>  level of measurement due to the fact that it portrays the qualitative levels of naming and representing different hierarchies  from 100 basketball, 200 basketball, 300 football, 400 anything else

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