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Goshia [24]
3 years ago
9

In the diagram, the lenght of segment BC is 23 units. What is the lenght of segment DC?

Mathematics
2 answers:
tekilochka [14]3 years ago
6 0
The length of the segment is 33 units
natta225 [31]3 years ago
3 0
AB = BC
2x + 7 = 23
2x = 16
x =8

AD = 4x + 1 = 4(8) + 1 =33
but
AD = DC
so
DC = 33


answer
D. 33 units
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8 0
2 years ago
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In the year 2015 Emily was three times as old asKaitlin. By the year 2021 Kaitlin will be half asold as Emily will be. How old w
weeeeeb [17]

In 2000 Emily was 9 years old.

Given that in the year 2015 Emily was three times as old as Kaitlin while by the year 2021 Kaitlin will be half as old as Emily will be, to determine how old was Emily on the year 2000 the following calculation must be performed:

  • 2015 = E = 3K
  • 2021 = E = 2K  
  • 24 /// 8 --- 30 /// 14
  • 18 /// 6 --- 24 /// 12
  • 18/6 = 3
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Therefore, in 2000 Emily was 9 years old.

Learn more in brainly.com/question/20025195

8 0
2 years ago
I have many students are represented in the data set?
nalin [4]

Answer:

a) 19 students

b) the mean 3 9/19

the median 3

the mode 3

c) the range 6

Step-by-step explanation:

The data set shows that

0 points gets 1 student,

1 point gets 1 student,

2 points get 2 students,

3 points get 6 students,

4 points get 4 students,

5 points get 3 students and

6 points get 2 students.

a) There are 1+1+2+6+4+3+2=19 students.

b) The mean is

\dfrac{1\cdot 0+1\cdot 1+2\cdot 2+6\cdot 3+4\cdot 4+3\cdot 5+2\cdot 6}{19}=\dfrac{66}{19}=3\dfrac{9}{19}.

The average score is 3 9/19 points.

The median is 10th term in the data set - 3 points (means the middle score in the data set)

The mode is 3 points (means most happened score)

c) The range of the data is 6-0=6 points.

7 0
3 years ago
Write the first five terms of the sequence defined by the explicit formula
denis-greek [22]

<u>Answer:</u>

The correct answer option is: 19, 13, 3, -11, -29.

<u>Step-by-step explanation:</u>

We are given the following explicit formula for an arithmetic sequence:

a_n=21-2n^2

So to find the first five terms of this sequence, we will substitute the values of n (num here in the given formula:

a_1=21-2(1)^2\\\\a_1=19


a_2=21-2(2)^2\\\\a_2=13


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a_4=21-2(4)^2\\\\a_4=-11


a_5=21-2(5)^2\\\\a_5=-29

Therefore, the first five terms of the sequence defined by the explicit formula a_n=21-2n^2 are 19, 13, 3, -11, -29.


5 0
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sergejj [24]
Sorry for not giving you the calculation here -

5/12 and 2/9 have denominators divisible by only 3 right? Well The common denominator that can then change is 3 because that's the only number they have in common (except 1) 
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