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scoray [572]
3 years ago
7

The following is an incomplete paragraph proving that the opposite angles of parallelogram ABCD are congruent:

Mathematics
2 answers:
kramer3 years ago
6 0
<span>Pls. see attachment. 
</span>

Tanzania [10]3 years ago
6 0

The answer is transitive, transitive because I took the quiz and got the right answer.



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Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28.
ycow [4]

Answer: The tenth term is 76

=======================================================

Explanation:

We use this arithmetic sequence formula to get the nth term

a_n = a_1 + d(n-1)

Plug in a_1 = 4, \ d = 8, \ n = 10 and you should get the following:

a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\

The tenth term is <u>76</u>

---------

We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}

---------

In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in a_n = a_1 + d(n-1) which shifts everything one spot to the left.

7 0
2 years ago
2. What is the mode for the data set 13, 11, 10, 12, 14, 9,
Mashutka [201]

Answer:

11

Step-by-step explanation:

mode is the number that is most frequent

11

5 0
3 years ago
Read 2 more answers
The sum of two numbers is 32 One number is 8 more than the other. Identify the system of equations representing this problem
daser333 [38]

Answer:

x + y = 32

x = y + 8

Step-by-step explanation:

Sum of two numbers is 32:

x + y = 32

One number is 8 more than the other:

x = y + 8

3 0
3 years ago
The proper sequence to use in solving 3x - 2 = 60 is:
IrinaVladis [17]
If you follow the steps of PEMDAS it should be Multiply by 3,subtract 2.
8 0
3 years ago
This month
Rudik [331]
11%= 0.11 and 8%= 0.08

0.11 x 67,530=7,428.3
0.08 x 85,740 = 6,859.2
 so person A made more than person b
6 0
3 years ago
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