Which value of w makes 14 = 11+ 6 a true statement?
8
Choose 1
w=1
w=4
W= 16
Pro
w = 24

W=4

Step-by-step explanation:

Let's substitute each w-value into the equation to see if it is a solution.

Let's substitute w = 4 and see if the equation is true.

W=4

14= 11 + w/8 x 6

14= 11 + 4/8 x 6

14= 11 + 1/2 x 6

14= 11 + 3

So that means w=4 is a true statement

∠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.