The next number is 11, counting by 2’s
Answer: 22.5 degrees
Step-by-Step Explanation:
As we can see, we are given a line, which is a straight angle. Hence, it will be of 180 degrees.
=> All the angles sum up to 180.
Therefore,
=> 3x + x + 90 = 180
= 4x + 90 = 180
= 4x = 180 - 90 = 90
=> x = 90/4 = 22.5
Therefore, x = 22.5 degrees
Verification:
=> 3x + x + 90 = 180
= 3(22.5) + 22.5 + 90 = 180
= 67.5 + 22.5 + 90 = 180
= 90 + 90 = 180
=> 180 = 180
=> LHS = RHS
Answer:
33 children
62 adults
Step-by-step explanation:
Set up 2 equations (a=adults c=children)
The first equation will be 3.25(a)+3 = 300.5
The second equation will be a + c = 95
Subtract c from both sides to get:
a = 95 - c
Replace c in the 1st equation to get:
3.25(95-c) + 3c = 300.5
Distribute 3.25 to 95 and -c:
308.75 - 3.25c + 3c = 300.5
Subtract 308.75 from both sides:
-3.25c + 3c = 300.5 - 308.75
Combine like terms:
-0.25c = -8.25
Divide by -0.25
children = 33
Subtract 33 from 95 to get
adults = 62
