Question

i need some answers checked

Answer 1

@v'

Answer 2

the question states that Devon has a glass of juice every day

if he has a glass of juice, he washes a cup

therefore he ~must~ wash a cup every day

making the statement true

Answer 3

good

Answer 4

hard to explain this one, but Randy and Steve can still choose to stay w/ Nick regardless of Steve getting a day off

the law of syllogism still applies, but in the forward direction (steve gets a day off --> randy and steve stay with nick)

so B is the better sol'n

Answer 5

in other words, it's a matter of the converse not necessarily matching the truth of the original statement

Answer 6

good

Answer 7

good

Answer 8

the two given statements about complementary angles are put into statements 3 and 4 in the proof

statement 3 in the proof states that angle 1 and angle 2 are complementary

statement 4 must state that angle 2 and angle 3 are complementary

therefore, looking at statement 4, the missing angle is 2

Answer 9

supplementary means they add up to 180 not 90

Answer 10

uh not 100% sure but here's my reasoning:

statement 7 is factually true (angles 1 and 4 are congruent) but not because of the congruent supplement theorem

<1 and <4 would have to be supplementary to the same angle for that theorem to apply

therefore it should be an incorrect reason (A) not an incorrect statement

Answer 11

got to go for a bit

Answer 12

oh, kay

Answer 13

good

Answer 14

good

Answer 15

good

Answer 16

good

Answer 17

h is multiplied by b

so in order to isolate h you need to do the opposite of multiplying

Answer 18

that's reflexive not symmetric, so false

Answer 19

good

Answer 20

good

Answer 21

applying this logic to your problem

if p (the cabinets are full) then q (abel went shopping)

if q (abel went shopping), then p (the cabinets are full)

putting this into the biconditional

p (the cabinets are full) if and only if q (abel went shopping)

Answer 22

good

Answer 23

kind of a memorization based q but it's "iff" not "ifif"

only one i

Answer 24

"biconditional" so it needs to include the phrase "if and only if" so not D

Answer 25

hm the question isn't written very well

however, a prime number only has two factors (itself and one) whereas any composite number has more than two factors

therefore the original statement is true

Answer 26

try rewriting all the terms as squares

1^2, 3^2, 5^2, 7^2, ____

fill in the next #