Which of the following equations have the same solution? give reasons for your answer that do not depend on solving the equations.
a -(7-4x)=9

b 12=-4(-6x-3)

c 5x+34=-2(1-7x)

d 14=-(x-8)

e -8=-(x+4)

f x+5=-5x+5

A,C and E have solution x=4

B and F have solution x=0

Step-by-step explanation:

We have to find the equations which have same solution.

A.

B.

C.

D.

E.

F.

A,C and E have same solution  because when we substitute x=4 then it satisfied the given equations.It does not depend on solving the equations.

B and F have same solution because when we substitute x=0 then it satisfied the given equations.

1. 22

2. 1

3. 7

4. 18

step-by-step explanation

e2020 got it right

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.