4/3 x 6/7 multiply. write your answer as a fraction in simplest form

Exact form: 8/7

Step-by-step explanation:

Simplify the fractions if not in lowest terms.

Multiply the numerators of the fractions to get the new numerator.

Multiply the denominators of the fractions to get the new denominator.

The solution for multiplication of

Solution:

From question, given that

Rewrite the above term, the expression becomes,

Factored form of above term,

Canceling 3 in numerator and denominator. Since 3 is common term in numerator and denominator both. So the above expression becomes,

On simplifying above term by multiplying 4 and 2, the above expression becomes,

Hence the answer for the multiplication of

∠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.