Answer:
a. 4
b. 5
Step-by-step explanation:
a. r = √(112/7) =√16 =4
b. 4x+8 = 28
4x = 28-8
4x = 20
x= 5
Jaymie will measure the segment and then place the point just across from the line's beginning point to create a congruent segment that shows the similarity between them.
<h3>What are the conditions of the congruent triangle?</h3>
Triangles that are equivalent in terms of size and form are known as a congruent triangle.
Segments will be built using the straightedge, and measurements will be taken using the compass. They will pick a starting point and draw a line using the straightedge, then use the compass to finish the job.
To make the congruent segment, Jaymie will measure the segment and then position the point that is opposite from the line's starting point.
Jaymie, on the other hand, will have to work a bit harder with the compass since she will need to draw a semi-circle in the original angle and transfer this measurement to the new line in order to create congruent angles.
To learn more about the congruent triangle refer;
brainly.com/question/12413243
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Answer:
Step-by-step explanation:
In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;
4, 8, 12, 16, 20...80
The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d
a is the first term = 4
d is the common difference = 21-8 = 8-4 = 4
n is the number of terms
On substituting, Tn = 4+(n-1)4
Tn = 4+4n-4
Tn = 4n
The nth term of the series is 4n.
Since the last term is 80, L = 4n
80 = 4n
n = 80/4
n = 20
This shows that the total number of terms in the sequence is 20
According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80
, we are to take the sum of the first 20terms of the sequence. Using summation notation;
4 + 8 + 12 + 16 + 20+ . . . + 80 =
We know that
Mean and median both try to measure the central tendency in a data set.The mean is commonly used, but sometimes the median is preferred.
Mode is the element which occurs the most times in the set
therefore
the answer is the option
Both the mean and median are appropriate measures of center.
Answer:
c
Step-by-step explanation:
