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3 years ago

What is the definition of congruent line segments

2 answers:

7 0

Are simply line segments that are equal in length. Congruent means equal.Congruent line segments are usually indicated by drawing the same amount of little tic lines in the middle of the segments, perpendicular to the segments. We indicate a line segment by drawing aline over its two endpoints.

IrinaVladis [17]3 years ago

7 0

Congruent segments are simply line segments that are equal in length. Congruent means equal. Congruent line segments are usually indicated by drawing the same amount of little tic lines in the middle of the segments, perpendicular to the segments.

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A group of 3 adults and 5 children pay a total of 52$ for movie tickets

Paladinen [302]

Answer:

$9 adult
$5 child

Step-by-step explanation:

Letting "a" and "c" represent the costs of adult tickets and child tickets, the problem statement gives us two relations:

3a +5c = 52

2a +4c = 38

We can solve this system of equations using "elimination" as follows:

Dividing the first equation by 2 we get

a +2c = 19

Multiplying this by 3 and subtracting the first equation eliminates the "a" variable and tells us the price of a child ticket:

3(a +2c) -(3a +4c) = 3(19) -(52)

c = 5 . . . . . . collect terms

a +2·5 = 19 . . substitute for c in the 3rd equation above

a = 9 . . . . . . subtract 10

One adult ticket costs $9; one child ticket costs $5.

6 0

3 years ago

The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 51 househo

Vilka [71]

Answer:

0.007

Step-by-step explanation:

We were told in the above question that a random sample of 51 households is monitored for one year to determine aluminum usage

Step 1

We would have to find the sample standard deviation.

We use the formula = σ/√n

σ = 12.2 pounds

n = number of house holds = 51

= 12.2/√51

Sample Standard deviation = 1.7083417025.

Step 2

We find the z score for when the sample mean is more than 61

z-score formula is z = (x-μ)/σ

where:

x = raw score = 61 pounds

μ = the population mean = 56.8 pounds

σ = the sample standard deviation = 1.7083417025

z = (x-μ)/σ

z = (61 - 56.8)/ 1.7083417025

z = 2.45852

Finding the Probability using the z score table

P(z = 2.45852) = 0.99302

P(x>61) = 1 - P(z = 2.45852) = 0.0069755

≈ 0.007

Therefore,the probability that the sample mean will be more than 61 pounds is 0.007

6 0

3 years ago

A bag contains 16 blue marbles,8 green marbles and 12 red marbles. What is the ratio of blue to green to red marbles in its simp

blsea [12.9K]

Answer:

4:2:3

Step-by-step explanation:

16 blue marbles,8 green marbles and 12 red marbles.

Ratio of blue to green to red

blue:green:red

16:8:12

We can divide each term by 4

16/4:8/4:12/4

4:2:3

4 0

3 years ago

There are four cards numbered 1 through 4. The number 2 card is chosen randomly and not replaced. Find the probability of choosi

malfutka [58]

Answer:

1/3

Step-by-step explanation:

since number 2 card was not replaced, we have;

probability of picking a second card, 3;

let S be number of sample space

n(S)= 4

n(3)= 1

Pr(3/2)= 1/3

(because since one was already chosen and n, the sample space would reduce)

3 0

2 years ago

Y = -3x+ 5 y = x - 3 (-2,-4) (2,-1) an infinite number of solutions

Leno4ka [110]

Your answer is (2,-1)

3 0

2 years ago

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