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Nonamiya [84]
3 years ago
10

What’s the answer??? (SOMEONE PLEASE HELP)

Mathematics
1 answer:
AfilCa [17]3 years ago
6 0

I'm pretty sure it would be B.

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Which construction can you use to prove the Pythagorean Theorem based on similarity of triangles?
Rashid [163]

The construction that you can use to prove the Pythagorean Theorem based on similarity of triangles is 2nd construction. Please see the attached file.

 

To add, in mathematics, the Pythagorean theorem, also known as Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It mentions that the sum of the squares of the other two sides is equal to the square of the hypotenuse (the side opposite the right angle).

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Can someone please help me with number 15?
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the answer is 2. because you need to subtract the fractions once you do that you’ll get -2 • (-1) then multiple you’ll have 2 .

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3 years ago
Darren bought some paint. He used 2 1/4 gallons painting his living room. After that, he had 3 5/6 gallons left. How much paint
Otrada [13]

Answer: 6\frac{1}{12}\ gallons

Step-by-step explanation:

We can make the conversion from mixed numbers to improper fractions:

  • Multiply the whole number part by the denominator of the fraction.
  • Add the numerator of the fraction and the product obtained (This sum will be the new numerator).
  • The denominator is the same.

Then:

2\frac{1}{4}=\frac{(2*4)+1}{4}=\frac{9}{4}\\\\3\frac{5}{6}=\frac{(6*3)+5}{6}=\frac{23}{6}

We need to add the fractions in order to calculate the amount of paint Darren bought. Since the denominators are differente, we must find the Least Common Denominator (LCD):

4=2*2=2^2\\\\6=2*3\\\\\\LCD=2^2*3=12

Then:

\frac{9}{4}+\frac{23}{6}=\frac{27+46}{12}=\frac{73}{12}\ gallons

To convert this improper fraction to a mixed number:

  • When you divide 73 by 12 you get a quotient of 6. This will be the whole number.
  • The remainder obtained is 1. This will be the numerator of the fraction.
  • The denominator does not change.

Then:

\frac{73}{12}\ gallons=6\frac{1}{12}\ gallons

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Step-by-step explanation:

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Solve the inequality: 4(2x-11) is less than equal to -12 + 2(x-4) No "files" please and also need an explanation
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4(2x-11) \leq -12 +2(x-4)\\\\\implies 8x - 44 \leq  -12 + 2x -8\\\\\implies 8x -44 \leq 2x -20\\\\\implies 4x - 22 \leq x - 10~~~~~~~~~~~~~~~~~~~;[\text{Dividing both sides by 2}]\\\\\implies 4x -22 +22 \leq x -10 +22~~~~~~;[\text{Adding 22 to both sides}]\\\\\implies 4x \leq x+12\\\\\implies 4x -x \leq x+12-x~~~~~~~~~~~~~~~~;[\text{Subtracting x from both sides}]\\\\\implies 3x \leq 12\\\\\implies x \leq 4 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[\text{Dividing both sides by 3}]

\text{Interval solution,}  ~(-\infty, 4]

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