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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.
60 in^2 will be your answer.
Answer:
∠WXY = 107°
Step-by-step explanation:
In a trapezoid, adjacent angles are supplementary, meaning they add up to 180°. ∠W and ∠WXY are adjacent, so they are supplementary. 180° - 73° = 107°.
Another way to do this is to know that there are 360° in a trapezoid. This is a right trapezoid, so two of the angles are 90°. One angle is 73°. 90° + 90° + 73° = 253°. 360° - 253° = 107°.
I hope this helps :))
Answer:
-4 or -3
Step-by-step explanation:
Calculate the determinant:
D = b^2 - 4ac = 49 - 48 = 1
Apply the formula:
x = (-b +- sqrt(D))/2a = (-7 +- 1)/2 = -4 or -3
For example, in the number 14,509, fourteen thousand five hundred and nine, 1 is in the ten thousands place, and zero is in the tens place.
1 4, 5 0 9
ten thousand^ ten^