Answer:
77.5° and
102.5°
Step-by-step explanation:
Angles in a linear pair sum up to 180°
Therefore, x + (x +25) = 180
x + x +25 = 180
2x + 25 = 180
2x = 180- 25
2x 155°
dividing bothsides by 2
x = 155/2
x = 77.5
Therefore,
x = 77.5°
(x+25) = 77.5 + 25 = 102.5°
Answer: c. 50
Step-by-step explanation:
1. By definition, when you add the exterior angles of a regular polygon, you obtain 360 degrees and the number of sides of that polygon can be calculated by dividing 360 degrees by the measure of the exterior angle of it.
2. As you know, the number of sides cannot be fractions, therefore, if you make the folllowing division:
360°/50°=36/5
You obtain a fraction.
3. Then, an exterior angle of a regular polygon cannot have the measure is 50°.
Answer:
The probability that at most 1 car will require major engine repair next year is P=0.3392.
Step-by-step explanation:
This can be modeled as a binomial random variable, with n=22 and p=0.1.
The probability that exavtly k cars will require major engine repair next year is:
Then, the probability that at most 1 car will require major engine repair next year is:
slope (m) = rate. $40 per hour is the rate, so m = 45
y-intercept (b) = one time fee. $45 is the flat rate which is the one time fee, so b = 45
y = mx + b
y = 40x + 45
Answer: A
