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Answer: Choice D. 8m, 9m, 10m</h3>
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Explanation:
If a = 8 and b = 9 are the two legs of a triangle and c = 10 is the hypotenuse, then
a^2 + b^2 = c^2
8^2 + 9^2 = 10^2
64 + 81 = 100
145 = 100
We get a false equation as 145 and 100 are two different values. So the original equation is false when (a,b,c) = (8,9,10)
By the converse of the pythagorean theorem, we have proven that this particular triangle is not a right triangle
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Contrast this with something like choice A where we have a = 3, b = 4, c = 5 leading to
a^2 + b^2 = c^2
3^2 + 4^2 = 5^2
9 + 16 = 25
25 = 25
we get a true equation so a triangle with sides 3,4,5 is a right triangle. Choices B and C follow a similar path.
Step-by-step explanation:
The following prices for the same make and model used guitar for his work are :
$699.20,$700.30,$680.50,$700.30, and $800.25.
Mean of ungrouped data = sum of observations/total no of observations
For median, arrange the given data in ascending order.
$680.50, $699.20, $700.30, $700.30, $800.25
Median = middle value
Median = $700.30
The value that comes most often is called mode.
$700.30 comes two times. So, mode is $700.30
Hence, Mean = $716.11, median = $700.30 and mode = $700.30
7x - y= -5. Standard form is when it is written with x and y on the same side, but x is not negative or a fraction. To find the slope and y intercept, you must change the first two equations to slope intercept. You get y=7x-5 for the first one and y=11/3x+5 for the seccond equation. Take the 5 as your y intercept and the 7 as your slope and you get y=7x+5. Now you need to change it into standard form. When all is said and done, your final answer should be 7x - y = -5.
Answer:
You will need to double your net income in order to make a profit.
Step-by-step explanation:
1500 x 2 = 3000 - 2500 = 500 which is 500 dollars profit
