Given: g ∥ h and ∠2 ≅ ∠3
prove: e ∥ f

statements reasons
1. g || h 1. given
2. ∠1 ≅ ∠2 2. corresponding angles theorme
3. ∠2 ≅ ∠3 3. given
4. ∠1 ≅ ∠3 4. transitive property
5. e || f 5. ?
what is the missing reason in the proof?

a. vertical angles theorem
b. alternate exterior angles theorem
c. converse corresponding angles theorem
d. converse alternate interior angles theorem

 Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Given: g ∥ h and ∠2 ≅ ∠3

    Statements                               Reasons

1.g || h                               1. given

2.∠1 ≅ ∠2                               2.corresponding angles theorem

3.∠2 ≅ ∠3                               3. given

4.∠1 ≅ ∠3                                4. transitive property

5.e || f                                      5. Converse alternate interior angles.

As we know that if alternate angles are equal then two lines would be parallel using converse alternate interior angles.

Hence, Option 'D' is correct.

this was already solved by me with a different person. if you look it up in the search bar at the top of the page, you will get the answer.

step-by-step explanation:

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls