Answer:
∠J = 115
∠N = 65
∠M = 50
∠K = 130
Step-by-step explanation:
Sum of all the angles = 360
2x + 15 + x + 15 +x + 3x - 20 = 360
Combine like terms
2x + x + x + 3x + 15 + 15 - 20 = 360
7x + 10 = 360
7x = 360 - 10
7x = 350
x = 350/7
x = 50
∠J = 2x + 15 = 2*50 + 15 = 100+15 = 115
∠N = x +15 = 50 +15 = 65
∠M = x = 50
∠K = 3x - 20 = 3*50 - 20 = 150 - 20 = 130
Answer: Each adult’s meal costed $15
Step-by-step explanation:
This situation can be modeled by the following equation:
2a + 3c = 42, where a = the cost of an adult’s meal, and c = the cost of a child’s meal
Since we know from the problem that a child’s meal costs $4, we know c:
2a + 3(4) = 42
At this point, we can just solve the resulting equation for a:
2a + 3(4) = 42
= 2a + 12 = 42 (simplify 3(4))
= 2a = 30 (subtract 12 from both sides)
= a = 15 (divide both sides by 2)
So, the cost of each adult’s meal was $15.
Answer:
The time it took until 2 inches of rain fell is 8 hours
Step-by-step explanation:
You know that the proportional relationship between the amount of time (in hours) it had been raining, x, and the amount of rain (in inches) it had fallen, y, is y = 0.25*x
To find the time that passed until 2 inches of rain fell, you must replace the amount of rain (in inches) that had fallen "and" by that value. In this way the following expression is obtained:
2= 0.25*x
Solving:
8 = x
So, remembering that the amount of time it had been raining, x, is expressed in hours, <u><em>the time it took until 2 inches of rain fell is 8 hours</em></u>.
1) When finding a median, order your numerical list from smallest to larger, as so: 2,2,3,4,5,6,8,9.
2) Then start eliminating numbers from each side of the order; (The bolded numbers will be removed.)
2,2,3,4,5,6,8,9
2,3,4,5,6,8,9
2,3,4,5,6,8
3,4,5,6,8
3,4,5,6
4,5,6
4,5
3) Since there is an even number of digits in your list, you will have to add the last two digits and then divide them by two. 4 and 5 are the last numbers standing, (4+5=9)(9/2=4.5) and therefore your answer, would be 4.5, or B.
