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lisov135 [29]
3 years ago
9

If EF=9x+14, FG=56, and EG=250, find the value of x.

Mathematics
2 answers:
trasher [3.6K]3 years ago
8 0
Well, assuming E is the beginning, F is the middle, and G is the end, then

9x+14+56=250
9x=250-(56+14)
9x=250-70
9x=180
9x/9=180/9
X=20

The whole E to G is 250, and it gave you lengths between it
nexus9112 [7]3 years ago
7 0

Answer:

Value of x =20

Step-by-step explanation:

Given: EF = 9x+14 units , FG = 56 units and EG = 250 units.

Segment Addition Postulates states the following for 3 points that are collinear.

i.e, Let three points A, B and C are collinear and B is between A and C.

i,e AC = AB + BC

By Segment addition postulates; solve for x;

EG = EF + FG

Substitute the given values we get;

250 = 9x + 14 + 56

or

250 = 9x + 70

Subtract 70 on both sides we get;

250 -70 = 9x + 70 -70

Simplify:

180 = 9x

Divide both sides by 9 we get;

\frac{180}{9} = \frac{9x}{9}

Simplify:

x = 20

Therefore, the value of x =20


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55 if it's just addition
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A​ self-tanning lotion advertises that a 4 ​-oz bottle will provide seven applications. Jen found a great deal on a 13 ​-oz bott
Rainbow [258]

Answer:

22.75 applications

Step-by-step explanation:

From the above question, we understand that:

4 ​-oz bottle = 7 applications

13 ​-oz bottle = x applications

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4 -oz bottle × x applications = 13 -oz bottle × 7 applications

x applications = 13 -oz bottle × 7 applications/4 -oz bottle

x applications = 22.75 applications

Therefore, the number of applications of the 13 -oz bottle​ self-tanner that should Jen​ expect is 22.75 applications.

5 0
3 years ago
How do you solve this math problem-2(x+3y)=18
ss7ja [257]
Greetings!

Solve for <em>x</em>.
-2(x+3y)=18
Distribute the Parenthesis. <em>How?</em> Multiply all of the terms inside the parenthesis by the number outside the parenthesis.
(-2)*x+(-2)*3y=18
-2x-6y=18
Add 6y to both sides.
(-2x-6y)+6y=(18)+6y
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Divide both sides by -2.
(-2x)/-2=(18+6y)/-2
The Answer Is:
x=-9-3y
x=-3y-9

Hope this helps.
-Benjamin
7 0
3 years ago
WHAT IS THE LINE OF BEST FIT FOR THE FOLLOWING DATA (1,3) (2,0) (5,-8) (9, -25) . WRITE YOUR ANSWERS IN THE FORM OF Y= AX+ B​
dimulka [17.4K]

Answer:

3.471 + 7.2516 x

Step-by-step explanation:

Given the data:

(1,3) (2,0) (5,-8) (9, -25) .

X:

1

2

5

9

Y:

3

0

-8

-25

The line of best fit for the data given can be obtained using an online regression calculator :

The equation of best fit for the data is thus;

Best fit equation; y = -3.471 + 7.2516x

Intercept = - 3.471 ;

Slope = 7.2516

5 0
3 years ago
A man drove his car at 80km per hr for 1 and a quarter hrs .He rested for 45mins and then covered 240km, at the same time. Calcu
prisoha [69]

Answer:

Probably 128 km/h, but maybe 98.5 km/h. See below.

Step-by-step explanation:

What does "at the same time" mean?

If it means that he covered the 240 km in the same time as he convered the 80 km, then this is how you solve it:

80 km in 1.25 hour

240 km in 1.25 hour

Total distance: 80 km + 240 km = 320 km

Total time: 1.25 hour + 1.25 hour = 2.5 hour

average speed = (total distance)/(total time) = 320 km / 2.5 hour = 128 km/h

If it means he covered the 240 km in the same time he covered the 80 km plus the rest, then this is how you solve it:

80 km in 1.25 hour

240 km in 1.25 hour + 45 min = 240 km in 1.25 houir + 0.75 hour = 240 km in 2 hour

Total distance: 80 km + 240 km = 320 km

Total time: 1.25 hour + 2 hour = 3.25 hour

average speed = (total distance)/(total time) = 320 km / 3.25 hour = 98.5 km/h

3 0
2 years ago
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