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)
Answer:
0
Step-by-step explanation:

Answer:
32 remainder 2
Step-by-step explanation:
To divide 162 by 5, we simply do the following:
5 goes into 16 => 3
Multiply 5 by 3 => 3 × 5 = 15
Subtract 15 from 16 => 16 – 15 = 1
Put the 1 before 2 => 12
5 goes into 12 => 2
Multiply 5 by 2 => 5 × 2 = 10
Subtract 10 from 12 => 12 – 10 => 2
In summary,
162 divided by 5 => 32 remainder 2
Please see attached photo for further details.
Answer:
d
Step-by-step explanation:
Answer:
x = 8√2 units
Step-by-step explanation:
On a 45-45-90 triangle,<em> the ratio between one of the legs </em>(both are congruent)<em> and the hypotenuse is 1 : √2</em> (Improper but it still sends the message). That means the hypotenuse is √2 times as long as a leg.
x = 8 × √2
x = 8√2 units