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erik [133]
3 years ago
5

Given ABC with A(0, 0), B(2, 3), and C(4,0), prove ABC is isosceles

Mathematics
1 answer:
Likurg_2 [28]3 years ago
5 0

Step-by-step explanation:

1. if to calculate the length of AB; AC and BC, then:

|AB|=\sqrt{(2-0)^2+(3-0)^2} =\sqrt{13}.

|AC|=\sqrt{(4-0)^2+(0-0)^2} =4.

|BC|=\sqrt{(2-4)^2+(0-3)^2}= \sqrt{13}.

2. if to compare the calculated lengths, then:

AB=BC. It means the given triangle is isosceles.

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14 out of 22 students surveyed enjoyed playing baseball. If 308 students are surveyed, how many would you expect to say they enj
sergiy2304 [10]

Answer:

124

Step-by-step explanation:

14 -22=8

8= the number of students that didn't like playing baseball

Somehow 8 = 800%

if you subtract 800%-308 it gives you -124

124 students don't like playing baseball

8 0
4 years ago
Using the GCF (Greatest Common Factor) , what is the factored form of<br> 24v - 84
sleet_krkn [62]

Answer:12 (2v-7)

Step-by-step explanation: You have to find The GCF which  is 12.THen you do 24v divide 12 which is 2v and do 84 divide 12 which is 7.Now put GCF which is 12 ,then write (,next write 2v - 7 .

Hope it helps :)

8 0
3 years ago
Molly opened a bank account. She deposited $86.50 into her account every month for 20 months. She used $24.50 every month to pay
harkovskaia [24]
First, let's multiply 86.50 by 20 since she deposited $86.50 each month for 20 months.

86.50 * 20 = $1,730

Now, we have to divide this by 24.50 * 20 to find how much out of her $1,730 that she used on singing lessons.

24.50 * 20 = $490

Subtract how much she used for singing lessons from her total amount.

1,730 - 490 = $1,240

Finally, we multiply the amount she has left by 1/4 to find out how much she spent on her summer camp. We can also do this by multiplying 1,240 by 0.25 since 0.25 = 1/4.

1,240 * 0.25 = $310

So, Molly spent $310.00 on her summer camp.
Hope this helped!
7 0
3 years ago
Read 2 more answers
The height of a trapezoid is 8 inches and its area is 96 in one base of the trapezoid is 6 inches longer than the other base wha
yan [13]
First is to get the given data that we might be able to use for computation.
H = 8 inches
Area = 96
B1 = B1
B2 = B1+6

Next is to know the area of a trapezoid
Area = H x (B1 + B2)/2
96 = 8 x (B1 + B1 + 6) / 2
96 = 8 x (2B1 + 6) /2
96 = 4 x (2B1 + 6)
14 = 2B1 + 6
2B1 = 8
B1 = 4
B2 = 10
3 0
4 years ago
Read 2 more answers
10. For the equation 3x – 4 = 8, which
irga5000 [103]

Answer:

x  = 4

Step-by-step explanation:

We can find the answer to this by solving the equation:

3x - 4 = 8

3x - 4 + 4 = 8 + 4

3x = 12

x  = 4

6 0
3 years ago
Read 2 more answers
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