Answer:
its an equation between two variables that gives a straight line when plotted on a graph.
Step-by-s
Short Answer: 150
Remark
You have to use two facts.
1. The central angle = 2 * the angle at B
2. The central angle = the arc angle.
Given
angle at B = 75 degrees.
Calculate the central angle
Central angle = 2 * angle at B
Central angle = 2 * 75
Central angle = 150
Conclusion
The arc angle = Central angle
The arc angle = 150 degrees.
Answer: 4004ways
Step-by-step explanation:
Total number of Students =15
Total number of students to be on the committee =5
Since two members are of the same major and must not be on the committee, then we are left with choosing 5 people from just 14 People after we eventually remove one from those two students with same majors.
Hence to select 5 people from 14 people, we use the combination formula 14C5.
From the two students with same major we also use the combination Formula in knowing the number of ways any of the two students can be chosen. To choose one from these two students, we use the combination Formula 2C1.
Hence, the total number of ways to choose the committee of 5 and ensuring the two students with same major aren't on the committee becomes:
= 14C5 * 2C1
= 2002 * 2
= 4004ways.
Answer:
The two angles are 85 and 95 degrees
Step-by-step explanation:
Supplementary angles add to 180
Let x be one angle
The supplement is 10 less, ( x-10)
They add to 180
x+ ( x-10) = 180
2x -10 = 180
Add 10 to each side
2x-10+10 =180-10
2x= 190
Divide by 2
2x/2 =190/2
x=95
The other angle is 95-10 = 85
The two angles are 85 and 95 degrees
Answer:
52/79
Step-by-step explanation:
One costume = 156 (This is our numerator.)
All visitors = 156 + 58 + 23 = 237 (This is our denominator.)
156/237
Find the GCF to simplify (sneak peek it's 3)
156/3 = 52
237/3 = 79
52/79 (tada!)
