Penny drives a truck. The function p = 20h + 75 represents her daily pay, in dollars, for working h hours. She travels 60 miles each hour. She also receives $0.10 for each bonus mile she drives. The function b = 60h × (0.10) represents the amount she earns for her bonus. Which function represents Penny's earnings, P, for driving h hours?

Penny's earning for driving h hours is represented by the function

P = 26h + 75

Step-by-step explanation:

- The function p = 20h + 75 represents her daily pay

- The function b = 60h × (0.10) represents the amount she earns for her bonus.

Penny's earnings is the addition of her daily pay and bonus.

It is represented by the function P.

P = (20h + 75) + 60h × 0.10

Simplifying this, we have

P = 20h + 75 + 6h

= 26h + 75

50=33x+22

step-by-step explanation:

∠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.