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Hitman42 [59]
3 years ago
6

By which rule are these triangles congruent

Mathematics
1 answer:
zimovet [89]3 years ago
6 0

Answer:

B:ASA ( by Angle Side Angel )

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The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is
katovenus [111]

Answer:

200\ families

Step-by-step explanation:

Already, we are given 12% of our sample size as 24.

To find the sample size, we equate to find 100%.

Let sample size be denoted by t

If\  12\%=24\\100\%=t\\t=\frac{100\%\times24}{12\%}\\=200

Hence, the sample has 200 families.

7 0
3 years ago
In a doctor's waiting room, there are 14 seats in a row. Eight people are waiting to be seated. There is someone with a very bad
diamong [38]

Answer: 12,972,960

Step-by-step explanation: There are 14 chairs and  8 people to be seated. But among the 8. three will be seated together:

So 5 people and (3) could be considered as 6 entities:

Since the order matters, we have to use permutation:

¹⁴P₆ = (14!)/(14-6)! = 2,162,160, But the family composed of 3 people can permute among them in 3! ways or 6 ways. So the total number of permutation will be ¹⁴P₆  x 3! 

2,162,160 x 6 = 12,972,960 ways.

Another way to solve this problem is as follow:

5 + (3) people are considered (for the time being) as 6 entities:

The 1st has a choice among 14 ways

The 2nd has a choice among 13 ways

The 3rd has a choice among 12 ways

The 4th has a choice among 11 ways

The 5th has a choice among 10 ways

The 6th has a choice among 9ways

So far there are 14x13x12x11x10x9 = 2,162,160 ways

But the 3 (that formed one group) could seat among themselves in 3!

or 6 ways:

Total number of permutation = 2,162,160 x 6 = 12,972,960

5 0
3 years ago
Evaluate the limit of ((1/4 + 1/x)/(4+x)) as x -> -4​
photoshop1234 [79]

Hello from MrBillDoesMath!

Answer:

-1/16

Discussion:

Rewrite   ((1/4 + 1/x)/(4+x))  as

(1/4 + 1/x)  *  (1/(4+x)) =                 => put num. over common denom,

( (x+4)/4x) *  (1/(4+x)) =                 => cancel (x+4) from num. and denom.

(1/4x)

So as x ->-4, (1/4x) approaches ( 1/ ( 4 * (-4) )   ) = -1/16

Thank you,

MrB

6 0
3 years ago
16) The actual distance from Juan's home to Lake Mimo is 120 miles. The distance on a map is 2.5 inches. What scale could have b
Grace [21]

Answer: 1/48

Step-by-step explanation:

Write 2.5/120 as a fraction , then rewrite it as 25/1200 simplify and get 1/48

Hope this helps!

7 0
2 years ago
Select the letter of the correct answer.
sveta [45]
Would it be B which is 51%
as you do 129 devided by 3.3 = 39.1
180-39.1= 141
141 is just over half
4 0
3 years ago
Read 2 more answers
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