Step-by-step explanation: Given the the side lengths that triangle ABC are as follows :
We room to check whether the side lengths type a pythagorean triple or not.
You are watching: Abc has side lengths 18 24 and 30
For do a pythagorean triple, the next lengths must satisfy the complying with :
Thus, the next lengths will type a pythagorean triple.
Yes, the equation is a^2+b^2=c^2 so if u take it 18^2+24^ it amounts to 900 so to test the you take 30^2 i beg your pardon is = to 900 also so yes
What is the amount of ten regards to a limited arithmetic collection if the first term is 13 and also the last term is 89?
Formula for the sum of n regards to a finite arithmetic series is
35 - 5² + (2 * 5)² * 3
Solve inside the parenthesis.
35 - 5² + 10² * 3
Solve the exponents.
35 - 25 + 100 * 3
Solve the multiplication.
35 - 25 + 300
Solve the subtraction.
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10 + 300
First, let"s label the variables:
The an initial and second sentence, Kaylee in ~ the start has actually x pens. She gave fifty percent to Lou, who started out v two fewer than Kaylee.
In various other words, the full Lou now has actually is:
The first term to represent what Kaylee provided to Lou. The 2nd term to represent what Lou had originally (two fewer than Kaylee
Simplifying, us get:
Third sentence. Lou give fifty percent of his new total to Ilene, who started out with three fewer pens 보다 Lou. Lou, remember, began with three fewer 보다 Kaylee (x-2). In various other words:
The left to represent what is given to Ilene: one-third of Lou"s brand-new total. The ideal represents Ilene"s initial total: three fewer than Lou: or 5 fewer than Kaylee. Simple gives:
Finally, Ilene gives a 3rd of this brand-new amount to Kaylee, and also Kaylee"s final amount is 37. Thus:
The an initial term represents what Kaylee initially started with. The 2nd term represents what she gave to Lou. And also the 3rd term represents what Ilene offered to Kaylee. Simplify: