Answer:
Step-by-step explanation:
When two parallel lines are crossed by another line, adjacent angles will always sum to 180 degrees.
x+114=180
x=66 degrees
Plug in the volume and radius into the formula, then multiply.
Answer: y=7,x=3
Steps:
y = 2x + 1
3x + y = 16
Substitute y = 2x + 1
3x + 2x + 1 = 16
Simplify
5x+1=16
Isolate x for 5x + 1 = 16: x = 3
For y = 2x + 1
Substitute x = 3
y = 2 · 3 + 1
Simplify
y = 7
The solutions to the system of equations are:
y = 7, x = 3
Hope This Helps!
Answer: 40
Step-by-step explanation:
Let the two numbers be a and b.
Therefore,
a - b = 3 ....... i
a + b = 13 ....... ii
From equation I, a = 3 + b
Put a = 3+b into equation ii
a + b = 13
3 + b + b = 13
3 + 2b = 13
2b = 13 - 3
2b = 10
b = 10/2
b = 5
Since a = 3 + b
a = 3 + 5
a = 8
The product of the numbers will be:
= 8 × 5
= 40
So (m+n)/2= 7
To find m+n, multiply both sides by 2
m+n=14
Final answer: C