Z and 96 are vertical angles so they equal each other. The other angle makes a straight line with the 96 degree angle so subtract from 180 to find the measure of that angle is 84. Set the expression equal to 84 and solve.
Answer:
Part A:
x+y= 95
x = y+25
Part B : 35 minutes
Part C : No
Step-by-step explanation:
Eric plays basketball and volleyball for a total of 95 minutes every day
x+y= 95
Where:
x =the number of minutes Eric plays basketball
y= the number of minutes he plays volleyball
He plays basketball for 25 minutes longer than he plays volleyball.
x = y+25
System:
x+y= 95
x = y+25
Replacing x=y+25 on the first equation:
(y+25) + y =95
Solving for Y
y+25+y =95
25+2y=95
2y=95-25
2y=70
y = 70/2
y = 35 minutes
Part C : No
if x = 35
x+y= 95
35+y =95
y= 95-35
y = 60 minutes
Replacing y=60 on the other equation:
x = y+25
35 = 60+25
35 ≠85
Answer:
An equation modeling the situation is : 4 m + 6 n = 180
Step-by-step explanation:
Here, the total number of guests in the banquet hall = 180
Let us assume number of tables ordered with capacity of
4 people each = m
And number of tables ordered with capacity of 6 people each = n
So, total number of people in m tables = m x ( Capacity of 1 table)
= m x (4) = 4 m
And, total number of people in n tables = n x ( Capacity of 1 table)
= n x (6) = 6 n
So, the total capacity of ( m + n) tables = 4 m + 6 n
Also, the total required capacity = 180
⇒ 4 m + 6 n = 180
Hence, an equation modeling the situation is : 4 m + 6 n = 180