Answer:
(a) Theorem 9
Step-by-step explanation:
Any of the given theorems can be used to prove lines are parallel. We need to find the one that is applicable to the given geometry.
<h3>Analysis</h3>
The marked angles are between the parallel lines (interior) and on opposite sides of the transversal (alternate).
Theorem 9 applies to congruent alternate interior angles.
Hello,
spinner has 1 yellow, 2 red, 3 blue and 2 green sections. What is the probability of not getting a yellow?
to find the probability to not get a yellow you have to know the total of color which is
1+2+3+2=8
and its 1 yellow
So the probability of not getting a yellow is 1/8
hope this help
Answer:
Step-by-step explanation:
The first step is to determine the areas of the inner and the bigger circles.
The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
Considering the inner circle,
diameter = 148.4 cm
Radius = 3 inches
Area = 3.14 × 3² = 28.26 inches²
Considering the bigger circle,
Radius = 7 inches
Area = 3.14 × 7² = 153.86 inches²
The area between the bigger and inner circles is
153.86 - 28.26 = 125.6 inches²
Probability = number of favourable outcome/number of total outcome.
the probability you land inside the bigger circle but outside smaller circle is
125.6/153.86 = 0.82
Number of students = 26
Number of students without siblings = 4
⇒ Number of students with at least one siblings = 26 - 4 = 22
Number of students with brothers = 17
Number of students with sisters = 7
⇒ Number of students with both a brother and a sister = 17 + 7 - 22 = 2
P(student has a brother, given that they have a sister) = 2/7
Answer: 2/7