The mode of a data set is the entry that occurs the most often. Since 92 is the most frequent number in the set, that is the mode.
well #7 is a solution.
y= 9x (4,36)
9 times 4 = 36
36/9=4
so the ordered pair is a solution.
y=3x-5 (7,16)
3 times 7 -5= 16
so once again the ordered pair is a solution.
Hoped this helped.
Answer:
581 pages
Step-by-step explanation:
Add the page numbers.
157+226+198=581
He read 581 pages.
Answer:
Part 1) The area of the polygon is ![42\ units^{2}](https://tex.z-dn.net/?f=42%5C%20units%5E%7B2%7D)
Part 2) The area of the polygon is ![43.5\ units^{2}](https://tex.z-dn.net/?f=43.5%5C%20units%5E%7B2%7D)
Step-by-step explanation:
Part 1) we know that
The area of the figure is equal to the area of rectangle GPST plus the area of triangle PES
Observing the graph
<u>Find the area of rectangle</u>
![A=bh=5*7=35\ units^{2}](https://tex.z-dn.net/?f=A%3Dbh%3D5%2A7%3D35%5C%20units%5E%7B2%7D)
<u>Find the area of triangle</u>
![A=(1/2)bh=(1/2)*7*2=7\ units^{2}](https://tex.z-dn.net/?f=A%3D%281%2F2%29bh%3D%281%2F2%29%2A7%2A2%3D7%5C%20units%5E%7B2%7D)
The area of the figure is equal to
![35\ units^{2}+7\ units^{2}=42\ units^{2}](https://tex.z-dn.net/?f=35%5C%20units%5E%7B2%7D%2B7%5C%20units%5E%7B2%7D%3D42%5C%20units%5E%7B2%7D)
see the attached figure N 1 to better understand the problem
Part 2) we know that
The area of the figure is equal to the area of two triangles plus the area of a trapezoid
Observing the graph
<u>Find the area of triangle 1</u>
![A=(1/2)bh=(1/2)*3*2=3\ units^{2}](https://tex.z-dn.net/?f=A%3D%281%2F2%29bh%3D%281%2F2%29%2A3%2A2%3D3%5C%20units%5E%7B2%7D)
<u>Find the area of triangle 2</u>
![A=(1/2)bh=(1/2)*5*1=2.5\ units^{2}](https://tex.z-dn.net/?f=A%3D%281%2F2%29bh%3D%281%2F2%29%2A5%2A1%3D2.5%5C%20units%5E%7B2%7D)
<u>Find the area of trapezoid</u>
![A=(1/2)(b1+b2)h=(1/2)*(11+8)*4=38\ units^{2}](https://tex.z-dn.net/?f=A%3D%281%2F2%29%28b1%2Bb2%29h%3D%281%2F2%29%2A%2811%2B8%29%2A4%3D38%5C%20units%5E%7B2%7D)
The area of the figure is equal to
![3\ units^{2}+2.5\ units^{2}+38\ units^{2}=43.5\ units^{2}](https://tex.z-dn.net/?f=3%5C%20units%5E%7B2%7D%2B2.5%5C%20units%5E%7B2%7D%2B38%5C%20units%5E%7B2%7D%3D43.5%5C%20units%5E%7B2%7D)
see the attached figure N 2 to better understand the problem