Answer:
Step-by-step explanation:
I'll get you the answer. You pick it from what you are given.
The slope of the perpendicular is m1 * m2 = - 1
m1 = 3
m2 = -1 / m1
m2 = -1 / 3
So far what you have is
y = (-1/3) x + b
Use the point go get b
x = -1
y = - 3
y = (-1/3) *x + b
-3 = (-1/3)*-1 + b
-3 = 1/3 + b
-3 - 1/3 = b
b = -3.33333 or
b = -3 1/3
b = -10/3
So the answer is
y = (- 1/3) x - 10/3 or
y = (-1 / 3)x - 3.3333 or
y = (-1/3 )x - (3 1/3)
Let c be children and a adults.
3.5c + 7a = 1771 (the total revenue is equal to the amounts made off of people)
c + a = 331 (total number of people)
The second formula becomes a = 331 - c. This can be substituted into the first formula.
3.5c + 7(331 - c) = 1771 = 7*331 - 3.5c = 1771. 7*331 = 2317, so 3.5c = 2317 - 1771 = 546.
546/3.5 = 156 = c (number of children).
c + a = 156 + a = 331 => a = 331 - 156 = 175 (number of adults).
There are 156 children and 175 adults
For this problem,we use the Fundamental Counting Principle. You know that there are 7 digits in a number. In this principle, you have to multiply the possible numbers for every digit. If the first number cannot be zero, then there are 9 possible numbers. So, the value for the first digit is 9. The second digit could be any number but less of 1 because it was used in the 1st digit. So, that would be 10 - 1 = 9. The third digit must be the value in the second digit less than 1. That would be 9 - 1 = 8. And so on and so forth. The solution would be:
9×9×8×7×6×5×4 = 544,320 7-digit numbers
Answer:
m<6 = 130°
Step-by-step explanation:
If m∠2 = 130°, what is m∠6?
Find the diagram attached
From the digram we can see that the vertical lines are parallel. Hence based on geometry;
m<2 = m<6 (corresponding angles)
Given m<2 = 130°, hence m<6 = 130°
