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Gnoma [55]
3 years ago
5

Verify that the segment lengths form a triangle. Is the triangle acute, right, or obtuse?

Mathematics
2 answers:
spin [16.1K]3 years ago
8 0

the triangle is a right angle triangle

Law Incorporation [45]3 years ago
3 0

Answer:

acute

Step-by-step explanation:

a² + b² = c² ⇒ right triangle

a² + b² > c² ⇒ acute triangle

a² + b² < c² ⇒ obtuse triangle

where a and b are the shorter side measures and c is the longest side measure of a triangle

Given:

  • a = 10
  • b = 11
  • c = 14

a² = 10² = 100

b² = 11² = 121

c² = 14² = 196

a² + b² = 10² + 11² = 221

As 221 > 196,  a² + b² > c²

so triangle is acute

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stiks02 [169]

We can solve this by using systems of equations.

Let's find our first formula, how much money was made using the tickets.

5.20x + 9y = 1027.80

Here x is how many child tickets we sold and y is how many adult tickets we sold. Now that we have defined that, we can make another formula for the total tickets sold!

x + y = 156 since we sold 156 tickets that could be any combination of child and adult tickets.

Let's solve this system. I'm going to use <em>substitution</em> so I'm going to take our second formula and subtract both sides by x to get y = 156 - x.

Now I will plug this in the first equation for y to get You plug it in for y to get 5.20x + 9 (156-x) = 1027.8.

From this you can solve for x to get x = 99.

Since x + y = 156

99 + y = 156

y = 57

There were 99 child tickets and 57 adult tickets.

3 0
4 years ago
Which value of k makes 3- 3k -12 &gt; 9 true ?
Nadya [2.5K]

Answer:

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Step-by-step explanation

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3 0
3 years ago
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Answer:

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Step-by-step explanation:

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8 0
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John ordered a large three topping pizza for $7. 50 and a large 8 topping pizza for $10. Write an equation in slope-intercept fo
yKpoI14uk [10]

to get the equation of any straight line, we simply need two points off of it, well, let's use the provided values hmmm

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3 0
2 years ago
A fair spinner has the numbers 1 to 4. What is the theoretical probability of getting a 2?
ki77a [65]

Answer: 25%

Step-by-step explanation:

hope this helps :)

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3 years ago
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