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ad-work [718]
2 years ago
5

Determine if each scenario would produce more than one triangle, no triangle, or a unique triangle. Explain your reasoning for e

ach scenario.
A triangle has an angle measuring 90 degrees, and angle measuring 20 degrees, and an included side that is 6 units long.


A triangle with angles measuring 30 degrees, 60 degrees, and 90 degrees.


A triangle with side lengths 2 inches, 4 inches, and 7 inches.
Mathematics
1 answer:
weqwewe [10]2 years ago
7 0

Answer:

1. Right angle triangle, 2. One triangle, 3. No triangle

Step-by-step explanation:

1. Has a 90-degree angle which makes it a right-angle triangle.

2. 30 + 60 + 90 = 180 degrees. Hence it satisfies the angle sum property so it is a triangle, a right-angle triangle.

3. It does not form a triangle as it does not satisfy the triangle inequality property, which is the sum of the two smaller sides should be greater than the larger side. 2 + 4 = 6, which is smaller than 7.

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EleoNora [17]
Easy dude.
This simplifies to 4+b

      Glad to help,
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4 0
3 years ago
The number of typing errors made by a typist has a Poisson distribution with an average of five errors per page. If more than fi
xeze [42]

Answer:

0.61596

Step-by-step explanation:

Given that:

λ = 5 (5 errors per page)

Poisson distribution formula :

P(x = x) = (λ^x * e^-λ) / x!

Probability that page does not need to be retyped means that error on page is less than or equal to 5

P(x ≤ 5) = p(x = 5) + p(x = 4) +... + p(x = 0)

The individual probabilities can be obtained using the formula above or the use of a calculator

P(x ≤ 5) = 0.17547 + 0.17547 + 0.14037 + 0.08422 + 0.03369 + 0.00674

P(x ≤ 5) = 0.61596

4 0
3 years ago
Find the value of each expression.<br> -5 -9 -13
Andrei [34K]

Answer:

-27

Step-by-step explanation:

-5-9=-14

-14-13=-27

3 0
3 years ago
At the theater, the Garcia family bought 2 adult tickets and 3 children's tickets for $44.50. The Smith family bought 3 adult ti
kondaur [170]

Answer:

Adult= $11

Children = $7.5

Step-by-step explanation:

Let x represent adult ticket and y represent children ticket

2x + 3y= 44.50........equation 1

3x + 6y= 78........equation 2

From equation 1

2x + 3y= 44.50

2x= 44.50-3y

x= 44.50-3y/2

Substitute 44.50-3y/2 for x in equation 2

3x+ 6y= 78

3(44.50-3y/2) + 6y= 78

66.75- 4.5y +6y= 78

66.75 + 1.5y= 78

1.5y= 78-66.75

1.5y= 11.25

y= 11.25/1.5

y = 7.5

Substitute 7.5 for y in equation 1

2x + 3y = 44.50

2x + 3(7.5)= 44.50

2x + 22.5= 44.50

2x = 44.50-22.5

2x= 22

x= 22/2

x= 11

Hence the price of adult ticket is $11 and the price of children ticket is $7.5

6 0
3 years ago
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