Kaley and Tom both work at Publix as cashiers for $7.68 per hour. This week Kaley worked 5 more hours than Tom in overtime. Write an expression that represents the weeks' total wages for Kaley and Tom if h represents the number of hours Tom worked.

7.68h

38.4 + 7.68h

Step-by-step explanation:

Earnings per hour = $7.68

This week Kaley worked 5 more hours than Tom in overtime

h = number of hours Tom worked.

Tom's total earnings for the week = earnings per hour × number of hours

= $7.68 × h

= 7.68h

Tom's total earnings for the week = 7.68h

Kayley's total earnings for the week = earnings per hour × number of hours

He works 5 hours more than Tom in overtime.

Tom = h

Kayley = 5 + h

Kayley's total earnings for the week = earnings per hour × number of hours

= (7.68) × (5 + h)

= 38.4 + 7.68h

Kayley's total earnings for the week =

38.4 + 7.68h

∠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.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x