The rate of change is constant in each table. find the rate of change. explain what the rate of change means for the situation. a) 212; your car travels 212 miles. b) 53/1; your car travels 53 miles every 1 hour c) 10; your car travels for 10 hours. d) 1/53; your car travels 53 miles every 1 hour

B)  rate of change is 53, your car travels 53 miles every 1 hour .

Step-by-step explanation:

Given : Table for time and distance.

To Find : The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.

Solution : We have given that Table for time and distance.

rate  of  change= .

rate  of  change= .

rate of change =  53.

rate  of  change= .

rate of change =  53

rate of change =  .

rate of change =  53.

rate of change =    .

rate of change =  53.

Therefore, B)  rate of change is 53, your car travels 53 miles every 1 hour .

∠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.

.25

step-by-step explanation: