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Masteriza [31]
3 years ago
7

If AC= 40 find the length of jk​

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
5 0

Answer:

JK = 24

Step-by-step explanation:

Δ BKJ and Δ BCA are similar and ratios of corresponding sides are equal, that is

\frac{JK}{AC} = \frac{BK}{BC} , substitute values

\frac{JK}{40} = \frac{3}{5} ( cross- multiply )

5JK = 120 ( divide both sides by 5 )

JK = 24

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Mrs. Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill the t
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Answer:

Proportion states that the two fractions or ratios are equal

As per the statement: Mrs. Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill the tank. Once the new tank is in, it will cost her $72.96

Let the tank size now be x

Since, the gas tank expanded by 10 gallons = x + 10

by definition of proportion ;

\frac{x}{42.56}=\frac{x+10}{72.96}

by cross multiply we get;

72.96x = 42.56(x+10)

using distributive property;a\cdot (b+c) =a\cdot b + a\cdot c

72.96x = 42.56x+425.6

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30.4x =425.6

Divide both sides by 30.4 we get;

x = 14

Therefore, the tank is her now is, 14 gallons


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3 years ago
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If you travel 342 miles and arrive to your house in 6 hours how fast were they traveling?
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They were traveling 57 mph
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Find the average rate of change of the function between the given values of x. y = 9+ 5x + 0.5x2 between x = 2 and x = 4.
svet-max [94.6K]

Answer:

The average rate of change is 8.

Step-by-step explanation:

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\frac{F(b)-F(a)}{b-a}

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You have to evaluate x=2 (which is a in the formula) and x=4 (which is b in the formula) in the function.

In order to obtain F(b) and F(a) you have to replace x=4 and x=2 in the given function:

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The answer is 8.

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Can you find the rate of change for the following function: -6x + 3y =9?​
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Answer:

The general rate of change can be found by using the difference quotient formula. To find the average rate of change over an interval, enter a function with an interval:  

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Step-by-step explanation:

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