C ) 131 is the answer
in the upside-vertex (not inverted) triangle, angle to your left hand side would be equal to x (as interior alternate angles) = 68
and the angle to the right would be 180-y= 180-117 = 163 (as linear angles)
so the angle at the vertex = 180 - (68 + 163) =49 (as angles in a triangle sum upto 180)
so the angle mz = 180 - 49 = 131 degrees (as linear pair of angles or angle in a straight line)
Buying books, your dorm and maybe a ride to get to school
Answer:
Distance is 
units
Step-by-step explanation:
Use the distance formula which is 
where 
is the distance between points 
and 
We are given that is 
and is 
, therefore the distance between the two points is:
Therefore, the distance between and is units.
Answer:
62.34
Step-by-step explanation:
Substitute n = 0 to n = 5 into the expression and sum the terms, that is
3 [ 
+ 
+ 
+ 
+ 
+ 
]
= 3 [ 1 + 
+ 
+ 
+ 
+ 
]
= 3( 
)
= 3 × 20.781
= 62.34 ( to the nearest hundredth )
The answers 59 because 90 degrees is the angle so 21 plus 10 equals 31 and 90-31 equals 59
