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AlexFokin [52]
4 years ago
6

Why is it impossible for a triangle to contain a 180° angle

Mathematics
1 answer:
kupik [55]4 years ago
4 0

Answer:

The sum of the angles within a triangle is 180 degree.

Step-by-step explanation:

We are asked to determine why is it impossible for a triangle to contain a 180° angle.

We know that angle sum property of triangle states that sum of all three angles of triangle must be equal to 180°.

We also know that measure of angle on a straight line is 180 degrees. So, if an angle measure to 180 degrees, then it will be a line not a triangle.

Therefore, it is impossible for a triangle to contain a 180° angle.

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Determine whether the graphs of x+y=3 and x-y=8 are perpendicular
Fittoniya [83]
They are perpendicular because they both meet at (5.5,-2.5)
5 0
4 years ago
Fred flips a coin, spins the spinner, and rolls a standard number cube. Find the probability that the coin will show tails, the
Inessa05 [86]

Answer:

The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is \frac{4}{3}  

Step-by-step explanation:

Given : Fred flips a coin, spins the spinner, and rolls a standard number cube.

To find : The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three ?

Solution :

First we find probability one by one,

1) Flips a coin - Head, Tail

Total number of outcome = 2

Favorable outcome (getting a tail) = 1

Probability that the coin will show tails is P(T)=\frac{1}{2}

2) Spins the spinner - yellow, green, blue

Total number of outcome = 3

Favorable outcome (land on yellow or green) = 2

Probability that the spinner will land on yellow or green P(S)=\frac{2}{3}

3) Rolls a standard number cube - 1,2,3,4,5,6

Total number of outcome = 6

Favorable outcome (show a three) = 1

Probability that the cube will show a three P(C)=\frac{1}{6}

The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is

P=P(T)+P(S)+P(C)

P=\frac{1}{2}+\frac{2}{3}+\frac{1}{6}

P=\frac{3+4+1}{6}

P=\frac{8}{6}

P=\frac{4}{3}

Therefore, The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is \frac{4}{3}

5 0
3 years ago
A factory that makes can openers has fixed costs for building, fixtures, machinery, etc. of $26,000. The variable cost for
DIA [1.3K]

Answer:

I think it's B 81,000

Step-by-step explanation:

20000 x 2.75 is 55000

55000 + 26000 is 81000

3 0
4 years ago
Find 3 consecutive even integers such<br> that the sum of the first and third is -16.
ICE Princess25 [194]

Answer:

<em>1st number =</em> -10

<em>2nd number =</em> -8

<em>3rd number =</em> -6

Step-by-step explanation:

<em>Take the first number as x</em>

The next consecutive even number will be x+2

The 3rd even number will be x+4.

<em>Sum of 1st and 3rd number = -16</em>

(x) + (x+4) = -16

x+ x+4 = -16

2x + 4 = -16

2x = -16 -4

2x = -20

x = \frac{-20}{2}

x = -10

2nd number = x+ 2

                     = -10 + 2

                     = -8

3rd number = x + 4

                    = -10 + 4

                    = -6

<em></em>

<em>Hope this helps.</em>

4 0
3 years ago
How many square feet of outdoor carpet will
Feliz [49]

Answer:

4 ft

Step-by-step explanation:

hole is 2 by 2 so multiply 2x2=4

5 0
3 years ago
Read 2 more answers
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