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2 years ago

DF=78, DE=5x-9, and EF-2x+10, find EF

Mathematics

1 answer:

lbvjy [14]2 years ago

8 0

Answer:

As e is point between df. So we can write df as

df = de + ef

As given df = 78 , de = 5x - 9 , ef = 2x + 10.

So we can write

78 = 5x - 9 + 2x + 10

78 = 7x + 1

On subtracting 1 on booth side

78 - 1 = 7x +1 - 1

77 = 7x

On dividing both side by 7.

11 = x

So x = 11.

So ef = 2x + 10 = 2*11 + 10 = 22 + 10 = 32

Step-by-step explanation:

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Answer:

Step-by-step explanation:

From the problem statement, we can setup the following equations:

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Substituting the first equation into the second will allow us to solve for $S$ :

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Ivenika [448]

$\bf \begin{cases}
z1=9-9i\implies &(9~,~-9)\\
z2=10-9i\implies &(10~,~-9)
\end{cases}$

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 9 &,& -9~) 
% (c,d)
&&(~ 10 &,& -9~)
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{ x_2 + x_1}{2}\quad ,\quad \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
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2 years ago

Thomas decided to take the plane to save some time. Unfortunately, the plane was delayed for 1 5/6 hours. How long did the trip

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Answer:

<u>Finally, the trip of Thomas will take an hour and fifty minutes more than the normal time it usually takes.</u>

Step-by-step explanation:

1. Let's check all the information provided to answer the question:

Time of Thomas flight delay = 1 5/6 hours

Time of normal flight = x hours

2. How long did the trip finally take?

For calculating how long the trip finally took, we need to do the following sum:

Time of normal flight + Time of delay

Like we don't know the time of the normal flight, we will define it as x, then:

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2 years ago

Suzanne wants to put a fence around her square garden. If the garden covers an area of 49ft^2, how many feet of fencing does she

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Answer:

The area for a square is given by:

$A = x^2$

And we can find the dimension for one side like this:

$x = \sqrt{A}$

Replacing we got:

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Then since we are interested in the how many feet of fencing does she need, we can find the perimeter given by:

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Step-by-step explanation:

For this case we know that Suzanne want to put a fance around a square garden with an area of 49 ft^2

The area for a square is given by:

$A = x^2$

And we can find the dimension for one side like this:

$x = \sqrt{A}$

Replacing we got:

$x = \sqrt{49 ft^2}= 7ft$

Then since we are interested in the how many feet of fencing does she need, we can find the perimeter given by:

$P = 4x$ and replacing we got:

$P = 4*7 ft = 28 ft$

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