Match the reasons with the statements in the proof to prove ab || dc , given that ad is parallel to bc and ad = cb .
given:
ad || bc
ad = cb
prove:
ab || dc
1. ad || bc, ad = cb (a. if lines are parallel, then alternate interior angles are equal.)
2. ac = ac (b. if alternate interior angles are congruent, then lines are parallel.)
3. 2 = 3 (c. cpcte)
4. acd = cab (d. reflexive property of equality)
5. 1 = 4 (e. sas)
6. ab || dc (f. given)

Given: and AD=CB

To Prove:

1. , AD=CB

Reason: Given

2. AC = AC

Reason: Reflexive Property of Equality

3.

Reason: If Lines are parallel, then Alternate Interior Angles are Equal).

4.

Reason: SAS

5.

Reason: CPCTE

6.

Reason: If Alternate Interior Angles are Congruent, then Lines are Parallel.

let's solve your equation step-by-step.

24−3x=−27

step 1: simplify both sides of the equation.

24−3x=−27

24+−3x=−27

−3x+24=−27

step 2: subtract 24 from both sides.

−3x+24−24=−27−24

−3x=−51

step 3: divide both sides by -3.

−3x

−3

=

−51

−3

x=17

answer:

x=17

step-by-step explanation:

mark brainliest and have a great day!