So unfortunately I can't draw on this thing. You can plot the points according to the (x, y) ordered pairs. The first number in each pair is how many units you move along the x axis (horizontal) and the second number is how many units to move along the y axis (vertical or up and down). For (-5, -2) start at the center (where the lines cross) and go backwards 5 spaces. Staying on that -5 line, go down 2 spaces. That's where you will put your first point. For (-5, 9) go backwards 5 spaces, but this time go up 9 spaces. This is the location for your second point. (9, 9) requires you to go forward 9 spaces, and up 9 spaces. And finally for (9,-2) go forward 9 spaces, and down 2. When you connect the dots, you should get a rectangle.
Now find the perimeter of the rectangle by counting the squares. Multiply what you get by 10 to get the number of meters. That is the graphical way to solve.
You could also use the distance formula:
Since either y or x will be the same for each pair, a significant portion of this formula can be ignored. For the first pair, let's do (-5, 9) and (9, 9). This would be the top of the rectangle.
Put this into the formula and get:
So the first side or length is 14 units.
Now let's do (-5, -2) and (9, -2). The y is the same here so we can just do:
The other side or width is 13 units.
The formula for the perimeter is 2L + 2W.
2(14) + 2(13) = 26 + 28 = 54 units
Now we know that each unit is 10 meters long, so multiply 54 by 10.
The answer is 540 meters.
The top angle in the middle triangle is 180-121, which is 59.
The right side angle in the triangle is 180-144, which is 36.
The angles of a triangle add up to 180. Therefore, bottom left angle in triangle equals 180-59-36, which equals 85.
N equals 180-the bottom left triangle angle, therefore it is 95 degrees.
Answer:
m∠QNO= 61°
Step-by-step explanation:
as m∠KML is 61°, you use vertical angle, it like reflection to the other angle to get m∠QNO
First let's find the GCF of 27, 36, and 72:
-->Find the factors of each number:
27: 1, 3, 9, 27
36: 1, 2, 3, 4, 9, 12, 18, 36
72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
-->Now look for the factors they have in common.
1, 3, and 9
-->Now see which one is the biggest number in value
9
--> So therefore, 9 is the GCF
Now let's find the LCM of 7, 4, 10, and 12
-->Start listing all the multiples of of each number
4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40... 420
7: 7, 14, 21, 28, 35, 42, 49, 56, 64, 70... 420
10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 120... 420
12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120... 420
(sorry got bored of typing so I fast forwarded at the '...'s)
--> The least number in value that they have in common is the LCM of those numbers
The LCM is 420
*Just saying that took forever to do that LCM part but not way too long thank goodness :p