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emmainna [20.7K]
3 years ago
14

The following quadrilateral is a parallelogram.

Mathematics
1 answer:
kvv77 [185]3 years ago
8 0

Answer:

12

Step-by-step explanation:

By definition, opposite sides of a parallelogram are congruent.

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PLEASE HELP AND SHOW WORK!!
Nastasia [14]

Answer:

Pipe 1 alone fills a tank in 10 min

Pipe 2 alone fills the tank in 20 min

If both are turned on together, how long will it take to fill the tank???

Pipe 1 fills at the RATE of 1/10th tank per min

Pipe 2 fills at the RATE of 1/20th tank per min

Pipe 1 + Pipe 2 fills at the rate of 1/10+1/20 or 3/20th tank per min

Let x= time to fill the tank

(3/20)(x)=1 Where 1 denotes a full tank (Multiply both sides by 20)

3x=20

x=6 2/3 min----------both working together

NOW YOUR PROBLEM

Let x= amount of time for smaller pipe to fill the tank

Then (x-5)=amount of time for larger pipe to fill the tank

NOW HERE'S WHERE THE RECIPROCAL COMES IN:

The smaller pipe fills the tank at the RATE of 1/x cu units per min

The larger tank fills the tank at the RATE of 1/(x-5) cu units per min

Together, they fill the tank at the rate of 1/x+(1/(x-5)) cu units per min

But now we are told that together the fill the tank in 11 1/9 minutes. so our equation to solve is:

(1/x+(1/(x-5))(11 1/9)=1 where 1 denotes a full tank. In fact, in each of the above reciprocals, the 1 denotes a full tank.

So, dividing both sides by 11 1/9, we get:

1/x+(1/(x-5)=1/(11 1/9)-------------- which is your equation

I assume that you have no problems solviing this eq.

Hope this helps----ptaylor

Step-by-step explanation:

7 0
2 years ago
The function f is defined by f(x) = a+b/x where a and b are constant .given that f (3) = 2 and f (7) = -2.
ivanzaharov [21]

Answer:

f(x) = a+b/x

We = 0

So that  f(x) = 3+7/x  = f(x) = 3+7/-2 = 5 also 3+7/-2+2 = 10/0 = -1

Step-by-step explanation:

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30 pi inches divided by the one fifth angle is gonna be 6
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3 years ago
Factor the expression 3x^2+14x+8
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<span>3x^2+14x+8 = </span>(3x+2)(x+4)
4 0
3 years ago
You drive your car for 3 hours at an average speed of 130 km per hour. How far did you go? *
stich3 [128]
The answer is 390km. You just multiply 130 x 3.
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