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2 years ago

A triangle has sides with lengths of 60 feet, 63 feet, and 87 feet. Is it a right triangle?

Mathematics

2 answers:

Anika [276]2 years ago

8 0

Yes, hope this helps.

Sedaia [141]2 years ago

3 0

Answer:

Yes

Step-by-step explanation:

We can use the Pythagorean Theorem to check if this triangle is a right triangle:

$a^2+b^2=c^2$

Note that $a$ and $b$ are the legs of the triangle and $c$ is the hypotenuse:

Substitute the lengths of the sides into the equation:

$60^2+63^2=87^2$

$3600+3969=7569\\7569=7569$

Therefore this triangle is a right triangle.

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Solve the system of equations using substitution or elimination. Show all work for credit.

Tomtit [17]

Using substitution:
first you have to express one variable in terms of the other, in this we can express y in terms of x:
$y = \frac{ - \frac{1}{2} x + 2}{3} \\ y = - x + 9$

Since both expressions are equal to y, you have to equal both expressions like this:
$\frac{ - \frac{ 1}{2}x + 2 }{3} = - x + 9$
Now you can solve the equation:
$- \frac{1}{2} x + 2 = 3( - x + 9) \\ - \frac{ 1}{2}x + 2 = - 3x + 27 \\ \\ - \frac{1}{2} x + 3x = 27 - 2 \\ \frac{5}{2} x = 25 \\ x = \frac{(25)(2)}{5} \\ x = 10$
Knowing x=10, you can use any of the expressions we found before to find y. In this case I'm going to use y= -x+9 because it's simpler but boy should give you the same result

$y = - (10) + 9 \\ y = - 1$
So, the answer is x=10 and y=-1

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3 years ago

How I divided a hexagon into 3 equal parts?

vova2212 [387]

Put a dot in the middle and put a line up on one side and across the sides

7 0

3 years ago

Read 2 more answers

Simplify Which of the following is correct?

aalyn [17]

The difference between mixed numbers gives:

-5¹/₆ - (-8¹/₂) = 3¹/₃

So the correct option is the third one.

<h3 /><h3>How to get the difference between mixed numbers?</h3>

Here we want to compute the difference between two mixed numbers.

First, remember that we can rewrite those as:

-5¹/₆ = (-5 - 1/6)

-8¹/₂ = (-8 - 1/2)

Now, let's go to the difference:

-5¹/₆ - (-8¹/₂)

First you can see that there are two negative signs together, so it is equivalent to a positive sign:

-5¹/₆ - (-8¹/₂) = -5¹/₆ + 8¹/₂

Now we can replace the mixed numbers to get:

-5¹/₆ + 8¹/₂ = (-5 - 1/6) + (8 + 1/2) = (8 - 5) + (1/2 - 1/6) = (3 + 2/6) = 3 + 1/3

And that can be rewritten to:

3 + 1/3 = 3¹/₃

Which is completely simplified.

So we conclude that the correct option is the third one, counting from the top.

If you want to learn more about mixed numbers:

brainly.com/question/1746829

#SPJ1

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2 years ago

State if triangle is acute obtuse or right

AnnyKZ [126]

Answer:

The triangle is acute

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2 years ago

Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent th

Tamiku [17]

Answer:

123 domestic stamps

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Step-by-step explanation:

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3 years ago