—5х + 13y = -7
5х + 4 = 24
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Step-by-step explanation:

Given:

We need to find the values of 'x' and 'y'.

On solving the equation we get;

Let

Also Let

Now Adding equation 1 and equation 2 we get;

Now By using Division property we will divide both side by 17 we get;

Now Substituting the value of y in equation 1 we get;

Now Subtracting both side by 13 using subtraction property we get;

Now By using Division property we will divide both side by -5 we get;

Hence

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.