Answer:
r = 50 degrees.
Step-by-step explanation:
r = 50 degrees ( vertical angles are congruent).
Answer:
x = 10 or x = 2
Step-by-step explanation:
Solve for x:
x^2 - 12 x + 20 = 0
Hint: | Solve the quadratic equation by completing the square.
Subtract 20 from both sides:
x^2 - 12 x = -20
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 36 to both sides:
x^2 - 12 x + 36 = 16
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x - 6)^2 = 16
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x - 6 = 4 or x - 6 = -4
Hint: | Look at the first equation: Solve for x.
Add 6 to both sides:
x = 10 or x - 6 = -4
Hint: | Look at the second equation: Solve for x.
Add 6 to both sides:
Answer: x = 10 or x = 2
Hello there!
Yes, your solution is correct! A way to check it is replacing the value you found for x into x in the equation.
3(2-x) = 7 - 4x ⇒ 3(2-1) = 7 - 4(1)
And now solve 3(2-1) = 7 - 4(1).
3(1) = 7 - 4(1)
3 = 7 - 4
3 = 3
Since it is a true statement that 3 is equal to 3, it means your solution of x = 1 is correct. Good job! :)
