Hi there!
To find the unknown addend, we can just subtract:
1 - 2/6 = 4/6
4/6 = 2/3
Hope this helps!
Answer:
y = |x-3| + |x+2| - |x-5|, if x <-2
y = |x-3| + |x+2| - |x-5|
y = -x-3 - x+2 + x-5
y = -x -6
Any triangle with one angle equal to 90⁰ produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.
<h3>What is the Pythagoras Theorem?</h3>
The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In △ABD and △ACB,
∠A = ∠A (common)
∠ADB = ∠ABC (both are right angles)
Thus, △ABD ∼ △ACB (by AA similarity criterion)
Similarly, we can prove △BCD ∼ △ACB.
Thus △ABD ∼ △ACB,
Therefore, AD/AB = AB/AC.
We can say that AD × AC = AB².
Similarly, △BCD ∼ △ACB.
Therefore,
CD/BC = BC/AC.
We can also say that
CD × AC = BC².
Adding these 2 equations, we get
AB² + BC² = (AD × AC) + (CD × AC)
AB² + BC² =AC(AD +DC)
AB² + BC² = AC²
Hence proved
Thus, any triangle with one angle equal to 90⁰ produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.
Learn more about Pythagoras theorem from:
brainly.com/question/343682
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Convert 3 (1/2) into a mixed fraction first and then multiply it by 3:
3(1/2) * 3
(7/2) * 3
21/2
10 (1/2) = answer
Well first do this
12.00 - 9.30 = 2.30
2.30 + 6.30 = 9
You slept 9hrs
