Answer:
114°
Step-by-step explanation:
The exterior angle is the sum of the remote interior angles.
__
<h3>setup</h3>
(11x +15)° = 60° +6x°
<h3>solution</h3>
5x = 45 . . . . . . . . . divide by °, subtract 15+6x
x = 9 . . . . . . . . . . divide by 5
The measure of exterior angle KMN is ...
m∠KMN = (11(9) +15)° = 114°
_____
<em>Additional comment</em>
Both the sum of interior angles and the sum of angles of a linear pair are 180°. If M represents the interior angle at vertex M, then we have ...
60° +6x° +M = 180°
(11x +15)° +M = 180°
Equating these expressions for 180° and subtracting M gives the relation we used above:
(11x +15)° +M = 60° +6x° +M . . . . . equate the two expressions for 180°
(11x +15)° = 60° +6x° . . . . . . . . . . . subtract M
This is also described by "supplements to the same angle are equal."
Answer:
The first one is howard and the second one is peter
Step-by-step explanation:
Howard is at a higher elevation because he is above the sea level.
Peter is further from sea level because he is 1.1 meters away, whereas Howard is only 0.8 meters away.
Answer:
720 ways to arrange
Step-by-step explanation:
Use the factorial of 6 to find this solution. Namely, 6!
This means 6*5*4*3*2*1 which equals 720
It seems like a huge number, right? But think of it like this: For the first option, you have 6 collars. After you fill the first spot with one of the 6, you have 5 left that will fill the second spot. After the first 2 spots are filled and you used 2 of the 6 collars, there are 4 possibilities that can fill the next spot, etc.
Answer:
See below.
Step-by-step explanation:
1) 7/4 + 5/8
= 14/8 + 5/8
= 19/8 or 2 3/8
2) 3/2 + 4/3
= 9/6 + 8/6
= 15/6
= 5/2 or 2 1/2
3) 2/3 + 10/7
= 14/21 + 30/21
= 44/21 or 2 2/21
4) 4 - 3/17
= 68/17 - 3/17
= 65/17 or 3 14/17
