Answer: 8 1/2 is less than 9 1/2, 8 1/2< 9 1/2
Answer:
The range of the Morning box plot is the same as the range of the Afternoon box plot.
Step-by-step explanation:
Data provided in the question
Number line = 0 to 16
Morning whiskers range = 3 to 15
Box range = 5 to 12
Line divided = 8
Afternoon whiskers range = 4 to 16
Box range = 8 to 15
Line divided = 14
Based on the above information,
The morning whiskers range difference is
= 12 - 5
= 7
And, the afternoon whiskers range difference is
= 15 - 8
= 7
Therefore the first option is correct
Answer:
1. x = 16
2. x = 17
Step-by-step explanation:
1. The sum of the exterior angles of any polygon is 360 degrees. So, to find x, we can add up all of the angle measures and set them equal to 360, then solve for x:
46 + 93 + 47 + 4x + 62 + 3x = 360
Combine like terms:
248 + 7x = 360
Subtract 248 from both sides of the equation to isolate 7x:
7x = 112
Divide both sides by 7 to find the value of x:
x = 16
2. The sum of the interior angles for a 5-sided polygon is 540 degrees. So, to find x, we can add up all of the angle measures and set them equal to 540, and then solve for x:
5x + 139 + 9x + 71 + 92 = 540
Combine like terms:
14x + 302 = 540
Subtract 302 from both sides to isolate the 14x:
14x = 238
Divide both sides by 14 to find the value of x:
x = 17
I hope this helps :)
Answer:
$105
Step-by-step explanation:
3x5=15
6x5= 30
2x5=10
4x5=20
6x5=30
15+30+10+20+30
=$105
Answer:
Let x = the third side
In a triangle, the sum of any 2 sides must be larger than the third side.
I believe this is called the triangle inequality theorem.
We can construct 3 inequalities to obtain the range of values for the third side.
(Inequality #1) 12 + 4 > x
16 > x
(Inequality#2) 12 + x > 4
x > -8 (we can discard this ... we know all sides will be positive)
(Inequality #3) 4 + x > 12
x > 8
So when we combine these together,
8 < x < 16
X (the third side) must be a number between 8 and 16. but not including 8 and 16
