∠e and ∠f are vertical angles with m∠e=5x+10 and m∠f=7x−12 . what is the value of x?

 11

Step-by-step explanation:

We are given that ∠E and ∠F are vertical angles with m∠E=5x+10 and m∠F=7x−12 .

We know that vertical angles are congruent, then their measures must be equal.

i.e. if ∠E and ∠F are vertical angles.

⇒ m∠E=m∠F

  [Substitute the measures of ∠E and ∠F]

Subtract 5x from both sides , we get

Add 12 on both sides , we get

Divide both sides by 2 , we get

or x=11

Hence, the value of x= 11

well there are two answers for that.

1: you need 120 ones then that will equal up to 120.

2: you could also do one 100 and 2 tens.

those are the answers that i have thought of.