The measure of ? is 36, because if the perimeter of the triangle is 96 and there are 3 sides subtract the base length of 24 from 96 getting you 72 and divide 72 by 2 getting you 36 because there are 2 other sides that are the same length.
<span>7(8+4k)+12
= 56 + 28k + 12
= 28k + 70
= 14(2k + 5)</span>
Answer: 23°, 65° and 92°
Step-by-step explanation:
a + b + c = 180 (The angles of a triangle equals to 180)
a = 4c (the largest angle is 4 times the smallest angle)
b = 4c - 27 (the final angle is 27 less than the largest angle)
c = c
Now that we have gotten the values for the variables in our equation, we plug them in:
4c + 4c - 27 + c = 180
Combine like terms:
4c + 4c + c - 27 = 180
9c - 27 = 180
9c = 180 + 27
9c = 207
Divide both side by 9
c = 23
a= 4c
a = 4 × 23
a = 92
b = 4c - 27
b = 92 - 27
b = 65
b = 65
Check:
a + b + c = 180
92 + 65 + 23 = 180
180 = 180
Answer:it is in fact a
Step-by-step explanation:
The following are the distances (in miles) to the nearest airport for 12 families. 6, 7, 8, 8, 16, 19, 23, 24, 26, 27, 34, 35 No
AveGali [126]
Using it's definitions, the five-number summary and the interquartile range for the data-set is given as follows:
<h3>What are the median and the quartiles of a data-set?</h3>
- The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.
- The first quartile is the median of the first half of the data-set.
- The third quartile is the median of the second half of the data-set.
- The interquartile range is the difference of the third quartile and the first quartile.
This data-set has 12 elements, which is an even number, hence the median is the mean of the 6th and 7th elements, as follows:
Me = (19 + 23)/2 = 21.
The first quartile is the median of 6, 7, 8, 8, 16, which is the third element of 8.
The third quartile is the median of 23, 24, 26, 27, 34, 35, which is of 27. Hence the interquartile range is of 27 - 8 = 19.
The minimum is the lowest value in the data-set, which is of 6, while the maximum is of 35, which is the largest value in the data-set.
More can be learned about the five-number summary and the interquartile range at brainly.com/question/3876456
#SPJ1