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fgiga [73]
3 years ago
15

Which set of integers is a Pythagorean triple and are side lengths of a right triangle?

Mathematics
1 answer:
Alona [7]3 years ago
4 0
A) 3, 5, 6
c squared = a squared + b squared
6 squared = 5 squared + 3 squared
36 = 25 + 9
36 ≠ 34 (not a right triangle)

b) 13, 12, 5
c squared = a squared + b squared
13 squared = 12 squared + 5 squared
169 = 144 + 25
169 = 169 (is a right triangle)


c) 17, 15, 9
c squared = a squared + b squared
17 squared = 15 squared + 9 squared
289 = 225 + 81
289 ≠ 306 (not a right triangle)


d) 12, 8, 6
c squared = a squared + b squared
12 squared = 8 squared + 6 squared
144 = 64 + 36
144 ≠ 100 (not a right triangle)

hope this helps!!
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I need an answer soon, please! Whoever answers first will get Brainliest!!! Please no troll answers!
Colt1911 [192]

Answer:

x = 8, and y = 12

Step-by-step explanation:

There are 2 variables, so you need 2 equations to form a system of equations in two variables.

The upper left triangle has all angle measures given: 100, 2x + y, 5x + y. We know that the sum of the measures of the angles of a triangle is 180.

First equation:

100 + 2x + y + 5x + y = 180

Simplify:

7x + 2y = 80     (First equation)

Now we see that the upper and lower sides are parallel, so alternate interior angles are congruent. The angles measuring 2x + y and 5x - y are alternate interior angles and are congruent.

Second equation:

2x + y = 5x - y

Simplify:

3x - 2y = 0    (Second equation)

Now we use the first equation and the second equation as a system of simultaneous equations to solve for x and y.

7x + 2y = 80

3x - 2y = 0

Solve the second equation for 2x.

3x = 2y

Now replace 2y in the first equation with 3x.

7x + 3x = 80

10x = 80

x = 8

Replace x with 8 in the second equation.

3(8) - 2x = 0

24 = 2x

x = 12

Answer: x = 8, and y = 12

8 0
3 years ago
Read 2 more answers
when camping alone , mr adam uses all of the water in 12 days, then when mrs adams and mr adams camp together they use all of th
professor190 [17]

Using the together rate, it is found that if Mrs Adams camps alone, she will use all the water in 24 hours.

<h3>What is the together rate?</h3>

The together rate is the sum of each separate rate.

In this problem, the rates are:

  • Together: 1/8.
  • Mr Adam: 1/12.
  • Mrs Adams: 1/x.

Hence:

\frac{1}{12} + \frac{1}{x} = \frac{1}{8}

\frac{x + 12}{12x} = \frac{1}{8}

12x = 8x + 96

4x = 96

x = \frac{96}{4}

x = 24

If Mrs Adams camps alone, she will use all the water in 24 hours.

More can be learned about the together rate at brainly.com/question/25159431

6 0
2 years ago
Expand the following 1/6 (18x-24)
monitta
Hello,

What we want to do is multiply 1/6 by each value within the parentheses individually.

So, it would be:
(1/6) * (18x) = 3x
(1/6) * (-24) = -4

Together, this would be 3x-4.

Hope this helps!
4 0
3 years ago
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A recipe for snack mix call for 4 3/4 cups of cereal the amount of peanuts needed is 1 and 2/3 cups less than the amount of cere
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Answer: 1st question=3 1/12 2nd question=6.4166667

Step-by-step explanation: Please correct me if I’m wrong, if I’m right, thank me.

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3 years ago
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I need the answer for these.<br> 1a: <br> 1b:<br> 1c:
Fantom [35]

1a) 8 / (1/2) = 16 * 3 = 48


1b) 3sqrt(49) = 3 * 7 = 21


1c) (5+2)(-8) / (-2)^3 -3


(7*-8) / (-8 -3)


-56/-11


56/11

3 0
3 years ago
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