There were 5 pizzas at the pizzas party for two families .carolines family ate 1 3/8 pizzas. julias family ate 1 2/6 pizzas. what is the closest estimate of how much pizza was left

we are given

total number of pizzas =5

carolines family ate pizzas

we can simplify it

carolines family ate pizzas

so,

julias family ate pizzas

julias family ate pizzas

so,

Let's assume remaining pizzas as R

so, C+J+R=5

we can plug values

and then we can solve for R

so, approximately 2 pizzas are left..........Answer

∠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.