Charlotte is redecorating the master bedroom in her house. she has already purchased a new bedroom set and also plans to paint the room and put in new flooring. the new bedroom set she purchased includes a queen-sized bed, one nightstand, and a dresser. the bed cost $558.49, and the cost of the dresser represented of the total amount charlotte spent on furniture. for the flooring, charlotte has decided to put a new carpet in the bedroom. she has calculated that the carpet itself will cost $427.35, and the labor to install the carpet will cost $212.52. there is also a $75 fee covering the cost of other flooring supplies, tools, and materials.

what percent of the flooring bill will go towards the cost of labor? round your answer to the nearest percent.

a0%

if charlotte spent 25% more on furniture than she will on flooring, how much did she spend on furniture?

$

a0

what percent of the total furniture cost did charlotte spend on the nightstand? round your answer to the nearest percent.

a0%

three business associates are at their favorite local café for lunch. they have finished their meals and just received their bills. each bill is labeled at the top as customer #1, customer #2, or customer #3. note: sales tax is 6%, and tips are rounded to the nearest $0.25.

∠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.

answer for #1 is c

answer for #2 is d

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step-by-step explanation:

answer:

step-by-step explanation:

here, the total dishes = 10

dishes having meat = 3 ( chicken, meatloaf and hamburger )

thus, the probability of having meat on the chosen dishes = number of dishes having meat / total dishes

=

therefore, the probability of not having meat = 1- the probability of having meat on the chosen dishes

=

=

=

⇒ option b is correct.