Answer:
Option C) Subtract 72° from 180°
Step-by-step explanation:
We are given the following in the question:
Measure of exterior angle = 72°
Properties of exterior angles:
- An exterior angle of a polygon is an angle at a vertex of the polygon but outside the polygon.
- It is formed by one side and the extension of an adjacent side.
- The interior and exterior angles are supplementary.
- Thus, the sum of the interior angle and the exterior angle is 180 degrees.
- All the exterior angles of a regular polygon are equal in measure.
Thus, we can write:
Let x degrees be the measure of the interior angle. Thus, we can write:
The measure of the interior angle is 108 degrees.
Thus, the correct answer is:
Option C) Subtract 72° from 180°
Answer:
C) 0.880
B) 0.075
Step-by-step explanation:
If the professor forgets to set the alarm
Probability = 0.1,
Wakes up in time probability = 0.25.
If the professor sets the alarm
Probability = 1 - 0.1 = 0.9
Wake up in time probability = 0.95.
A.)
The probability that professor Moore wakes up in time to make his first class tomorrow
Probability = ( Forgets to set alarm probability x Wakes up in time )+ ( Sets the alarm probability x Wakes up in time ) = ( 0.1 x 0.25 ) + ( 0.9 + 0.95 ) = 0.88
B.)
Late in the class
Set the Alarm Probability = 0.1
Wakes up late probability = 1 - 0.25 = 0.75
Professor Sets the alarm probability = Set the Alarm Probability x Wakes up late probability = 0.1 x 0.75 = 0.075
Answer:
p = 6, q = - 1
Step-by-step explanation:
Using the rules of exponents
× 
= 
, 
= 
Given
xy = 32 , tat is
× 
= 
Since the bases on both sides are equal, equate the exponents
p + q = 5 → (1)
Also
2xy² = 32 ( divide both sides by 2 )
xy² = 16 , that is
× 
= 16
× 
= 
, then p + 2q = 4 → (2)
Thus
p + q = 5 → (1)
p + 2q = 4 → (2)
Subtract (1) from (2) term by term
q = - 1
Substitute q = - 1 into (1) for corresponding value of p
p - 1 = 5 ( add 1 to both sides )
p = 6
9*4 equal is 36 divide that and your answer is 4
