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Lisa [10]
2 years ago
5

In parallelogram ABCD above, AE =2x+4 and AC=6x. What is the length of CE?

Mathematics
1 answer:
lawyer [7]2 years ago
4 0

Answer:

4-4x

Step-by-step explanation:

From the parallelogram

CE = CA+AE

Since CA = -AC

CE = -AC+AE

GIVEN

AC = 6x

AE= 2x+4

Substitute

CE = -6x+2x+4.

CE = -4x+4

Gene the length of CE is 4-4x

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Has anyone read the The Night of the Spadefoot toad and hachet?
guajiro [1.7K]

Answer:

no and yes

Step-by-step explanation:

no to the ,The Night of the spadefoot toad but yes to hatchet to be honest I think everyone read hatchet when they were in 5th grade cuz I know I did and it was pretty good oh yeah who have read the lion,witch and the wardrobe in fifth grade??

5 0
2 years ago
The sales tax on the model rocket shown is $1.92. What is the percent of sales tax? A drawing of a model rocket with a tag label
astraxan [27]

<u><em>Answer:</em></u>

The sales tax is 8%

<u><em>Explanation:</em></u>

<u>We are given that:</u>

The price of the rocket is $24 and the sales tax is $1.92

To get the percentage of the sales tax, all we have to do is divide the sales tax by the price of the rocket and then multiply the quotient by 100 (to convert the ratio to percentage)

<u>This is done as follows:</u>

% of sales tax = \frac{tax}{price}*100

% of sales tax = \frac{1.92}{24}*100 = 8%

Hope this helps :)

4 0
3 years ago
What is the perpendicular line in slope form of the equation (-5,8);y=1/5x-1
denpristay [2]

Answer: Find the negative reciprocal of the slope of the original line and use the slope-intercept form y=mx+b to find the line perpendicular to y=1/5x−1. y=−5x−17



5 0
3 years ago
Read 2 more answers
Suppose that F is an inverse square force field below, where c is a constant.
Andre45 [30]

Answer:

Forces in our Universe

Step-by-step explanation:

a)

First of all we have,

F(r) = \frac{cr}{|r|^{3} }

and,

r = xi+yj+zk

We need to define a function that allows us to find said change based on r, so one of the functions that shows that change is,

f(r) = - c /|r|

That is,

\nabla f = F

For this case F is a conservative field and the line integral is independent of the path. Thus, defining  P_{1} = (x_{1}, y_{1}, z_{1}) and P_{2} = (x_{2}, y_{2}, z_{2}) . So the amount of work on the movement of the object from P1 to P2 is,

W=\int\limits_c  {F} \, dr

W= f(P_{1}-P_{2})

W= \frac{c}{(x_{2}^2+ y_{2}^2+ z_{2}^2)^{1/2} } -\frac{c}{(x_{1}^2+ y_{1}^2+ z_{1}^2)^{1/2}}

W= c(\frac{1}{d1}-\frac{1}{d2}  )

2) The gravitational force field is given by,

F(r) =-\frac{mMGr}{ |r|^3}

The maximum distance from the earth to the sun is 1.52*10 ^ 8 km and the minimum distance is 1.47*10 ^ 8km. The mass values of the bodies are given by m = 5.97*10 ^ {24}kg, M = 1.99 *19 ^ {30}kg and the constant G is 6.67 * 10 ^{ -11 } \frac{Nm ^ 2}{kg^2}

In this way we raise the problem like this,

c= -mMG

W= -mMG (\frac{1}{1.52*10 ^ 8} -\frac{1}{1.47*10 ^ 8} )

W= -(5.95*10^{24})(1.99*10^{30})(6.67*10^{-11})(-2.2377*10^{-10})

W \approx 1.77*10^{35}}J

5 0
2 years ago
what is the equation for A 450-gallon tank full of water is draining at a rate of 20 gallons per minute.
zhuklara [117]

Answer: 150

Step-by-step explanation:

4 0
3 years ago
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