Answer:
Angle A is 46. Angle B is 134
Step-by-step explanation:
If two angles are supplementary, they equal 180 degrees. So in order to find the measure of each angle, you need to find out what x is, by setting both equations equal to 180.
So it would look a little like this:
6x-8+9x+53=180.
Group like terms together
15x+45=180
get x alone by subtracting 45 on both sides
15x=135
and divide by 15 on both sides
x=9
So now we figured out that x = 9. Now plug that number in for both equations to find the angles of both
6(9)-8
54-8
angle A is 46
9(9)+53
81+53
angle B is 134
And you can check your work by seeing if both angles actually add up to 180, by definition being supplementary
134+46.. is 180
So there you have it
Answer: x= 12
Step-by-step explanation:
3x+6 = 42
or, 3x = 36
so, x = 12
Answer:
Step-by-step explanation:
y - 3 = -2(x - 1)
y - 3 = -2x + 2
y = -2x + 5
Answer:
1. 19C8 = 75582
2. 19P8= 3047466240
Step-by-step explanation:
First, find the number of ways to get 8 sticks from 19. At first, you have 19 choices, then 18, then 17, all the way to 12. Giving you 19*18*17*...*13*12, or 19!/11!.
Combination:
When order doesn't matter, you have to divide 19!/11! by the number of ways to order 8 sides, or 19!/11!/8!=19C8=75582
Permutation:
When order doesn't matter, you don't have to divide 19!/11! by the number of ways to order 8 sides, since you count each of these, and 19!/11!=19P8=3047466240.
Answer:
a) The number of students in your school.
Step-by-step explanation:
Quantitative and Qualitative:
- The data that can be expressed with the help of numerical are know as quantitative variable.
- Qualitative variable is the non parametric variable and numerical does not describe the data
Discrete and Continuous data:
- Discrete data are expressed in whole number and cannot take all the values within an interval.
- Continuous variable can be expressed in decimals and can take any value within an interval.
a) The number of students in your school.
Since whole numbers are used to express number of children it is a discrete and continuous data.
b) The different colors of the eyes of your classmates.
These are qualitative data and numerical are not used to express them.
c) The height of all the people in your neighborhood.
These are continuous data as height is measured and can be expressed in decimals.
d) The acceleration of your car as you drive to school.
These are continuous data as acceleration is measured and can be expressed in decimals.
