MATH SOLVE

3 months ago

Q:
# PLEAAAAASE, Please help me understand this!What is the value of x?

Accepted Solution

A:

Answer: x = 50========================================Explanation:The angles shown are vertical angles. Any pair of vertical angles are always congruent (i.e. equal)Set the two expressions equal to each other and solve for x.2(x+10) = 3x-302x+20 = 3x-30 ... distribute2x+20-2x = 3x-30-2x ... subtract 2x from both sides20 = x-3020+30 = x-30+30 ... add 30 to both sides50 = xx = 50---------Check:Plug x = 50 into the equation. Both sides should result in the same value2(x+10) = 3x-302(50+10) = 3*50-302(60) = 3*50-30120 = 150-30120 = 120The answer is confirmed.