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2 years ago

If AB=BC,AB=4=4x-2,andBC=3x+3,fine the length of AB

Mathematics

1 answer:

laila [671]2 years ago

3 0

Answer:

Step-by-step explanation:

First, I'm assuming AB=4=4x-2 was a typo and it's supposed to be AB = 4x - 2

AB=BC

AB = 4x - 2 BC = 3x + 3

4x - 2 = 3x + 3

Solve for x Add 2 to each side

4x - 2 = 3x + 3

4x - 2 + 2 = 3x + 3 + 2

4x = 3x + 5 Subtract 3x from each side.

4x - 3x = 3x- 3x + 5

4x - 3x = 5

x = 5

Now plug back in to the original equations

AB = 4x - 2 BC = 3x + 3

AB = 4 (5) - 2 BC = 3(5) + 3

AB = 20 - 2 BC = 15 + 3

AB = 18 BC = 18

So AB is 18

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1 year ago

Evaluate this exponential expression.

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Answer:

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Step-by-step explanation:

Given that,

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Natali [406]

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2 years ago

Javier volunteers in community events each month. He does not do more than five events in a month. He attends exactly five event

mezya [45]

Answer:

The probability of Javier volunteers for less than three a month is 25%

Step-by-step explanation:

According to the questions,

The probability of Javier to attend exactly 5 events :-

P ( x = 5 ) = 25% = $\frac{1}{4}$

The probability of Javier to attend exactly 4 events :-

P ( x = 4 ) = $\frac{1}{4}$

The probability of Javier to attend exactly 3 events :-

P ( x = 3 ) = $\frac{1}{4}$

The probability of Javier to attend exactly 2 events :-

P ( x = 2 ) = $\frac{3}{20}$

The probability of Javier to attend exactly 1 events :-

P ( x = 1 ) = $\frac{1}{20}$

The probability of Javier to attend no events :-

P ( x = 0 ) = $\frac{1}{20}$

Now we have to calculate the probability of Javier volunteers for less than three P ( x < 3 ).

P ( x < 3 ) = P ( x = 0 ) + P ( x = 1 ) + P ( x = 2 )

P ( x < 3 ) = $\frac{1}{20} + \frac{1}{20} + \frac{3}{20}$ $= \frac{1 + 1 + 3}{20}$ = $\frac{5}{20}$ = $\frac{1}{4}$ = 0.25 = 25 %.

8 0

2 years ago