Answer:
x=22
Step-by-step explanation:
Reorder the terms:
3(-4 + x) = 2(x + 5)
(-4 * 3 + x * 3) = 2(x + 5)
(-12 + 3x) = 2(x + 5)
Reorder the terms:
-12 + 3x = 2(5 + x)
-12 + 3x = (5 * 2 + x * 2)
-12 + 3x = (10 + 2x)
Solving
-12 + 3x = 10 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
-12 + 3x + -2x = 10 + 2x + -2x
Combine like terms: 3x + -2x = 1x
-12 + 1x = 10 + 2x + -2x
Combine like terms: 2x + -2x = 0
-12 + 1x = 10 + 0
-12 + 1x = 10
Add '12' to each side of the equation.
-12 + 12 + 1x = 10 + 12
Combine like terms: -12 + 12 = 0
0 + 1x = 10 + 12
1x = 10 + 12
Combine like terms: 10 + 12 = 22
1x = 22
Divide each side by '1'.
x = 22
Simplifying
x = 22
Area of a sector of a circle is (Angle of Sector/360°)*πr^2
If you plug in the given values, you get (30°/360°)*36π
Simplify the equation.
(1/12)*36π
Simplify the equation again and you get your answer.
Area = 3π
Answer:
Step-by-step explanation:
-10 (d+1) = -14
-10d -10 = -14
-10d = -14 + 10
-10d = -4
d = 4/10
d= 2/5
Answer
Their combined score is 331 points
Explanation
Determine each person's score
Collin score: 139
Brian: 139 + 53 = 192
Add the scores together
139 + 192 = 331
50 + 3x = 7x + 12
This is because of the exterior angle theorem.
