Answer:
2a +2b +4
Step-by-step explanation:
The perimeter is the sum of the lengths of the three sides. If x represents the length of the third side, then ...
(3a +8) +(5a +b) +x = (10a +3b +12)
Subtracting from the equation everything on the left side that is not x, we get ...
x = (10a +3b +12) -(3a +8) -(5a +b)
= a(10 -3 -5) +b(3 -1) +(12 -8)
= 2a +2b +4
The length of the third side is 2a +2b +4.
<span>In 3 years, you will have $523.97
</span><span>continuously = daily</span>
Answer:
The first quartile is 5
The third is 8
The interquartile is the difference between the first and third quartile.
The interquartile is 3
Step-by-step explanation:
First, make a list of all the numbers. To find the first quartile, you have to first find the median. The median is the first 7 in the list.
Everything before 7 is the lower percentile of the range.
The firsr quartile is the median of the lower percentile.
The lower list is:
2,3,4,4,5,6,6,6
The median of this list is 5.
The process for finding the third quartile is the same except the list is the higher percentile which is the list of numbers above the median.
It's not rigid because dilations (scale factor not equal to 1) change the length of the segments, or the distances between the points. You'll get a similar figure but it won't be congruent. For example, if the scale factor is 3, then the distances will be three times as large; or the lengths will be 3 times as long.
To be "rigid", the lengths must be kept the same. In contrast, a reflection is rigid because the distances are kept the same. The only thing changing is the orientation (clockwise to counter-clockwise, or vice versa).
