Question

In the rectangular prism, side IJ is parallel to side GF. If the measure of angle EAJ is 55°, then what is the measure of the dihedral angle that is formed between plane ADIJ and plane ABCD?

Answer 1

Is there a image for this question?

Answer 2

https://static.k12.com/eli/bb/287/1_108961/2_32572_16_109063/02d009188dc77b460e1b368bd78790c0f613566c/media/49701467f30df7a5664b38d961f80ff193a8f1b5/mediaasset_1078035_1.gif

Answer 3

for those that cant see that because they are not logged into k12:

Answer 4

so do you know the answer? because im actually doing the test right now and its my last question !!! PLEASE HELP

Answer 5

80°


90°


35°


55°

Answer 6

Lemme see if I can get someone who can help, because I personally cannot.

@Hero Here ya go

Answer 7

those are the possible answers

Answer 8

or @Nnesha Whichever gets to it first ._.

Answer 9

are they online?

Answer 10

yes

Answer 11

Hero is viewing this question right now :P

Answer 12

@ThisGirlPretty

Answer 13

So nobody knows the answer?

Answer 14

Hang on, hero is probably preparing to help you learn how to find the answer on your own incase you get future problems like this :)

Answer 15

alright alright :)

Answer 16

I only get two seconds to respond. If I don't the user starts panicking.

Answer 17

lol, sorry !!

Answer 18

@sophie, we know that the figure is a rectangular prism. In other the words, the angles between two adjacent sides that meet at a corner vertex is 90 degrees. In other words, for example \(\angle{EAB} = 90^{\circ}\) and \(\angle{EAJ} + \angle{JAB} = 90^{\circ} \)
Notice, they give us that \(\angle{EAJ} = 55^{\circ}\) so
\(55^{\circ} + \angle{JAB} = 90^{\circ} \) If you find the measure of \(\angle{JAB}\) That will give you the measure of the angles between planes ADIJ and ABCD.

Answer 19

so 90? im so confused

Answer 20

but it doesnt give me the measurement of JAB

Answer 21

The reason why we can do this is because segment AJ is on the plane ADIJ and segment AB is on the plane ABCD. The two segments together make up angle JAB and the measure between them is the same as the measure between the two planes. It's not 90.

Answer 22

I don't know how you inferred 90 from what I explained above.

Answer 23

80?

Answer 24

well the whole image confuses me its self

Answer 25

its not 55

Answer 26

55 + WHAT = 90?

Answer 27

i already submitted the test got a 45/55

Answer 28

Were you really in that much of a rush that you could not try to understand anything I was trying to explain to you?

Answer 29

You were essentially operating in panic mode this entire time.

Answer 30

yes because its pretty fishy that im just stuck on one question for 30min

Answer 31

Yes, and you were very close to figuring out the answer. We were almost there and you bailed out at the last minute unnecessarily.

Answer 32

V≈301.59

Answer 33

so how do i convert that?

Answer 34

Anyway \(\angle{JAB} = 35^{\circ}\) If you have another question, please post it separately.

Answer 35

What is the volume of the cone?

https://static.k12.com/eli/bb/287/2_108962/2_32587_17_109064/4ea49af16368bd0717887f4b203d87b3cd3ef683/media/f4a39bf78f05d95a649b5bb30f687af40a08a9dc/mediaasset_1077624_1.gif
96π cm3


288π cm3


160π cm3


540π cm3

Answer 36

i have the volume but idk how to convert it

Answer 37

Please do not operate in panic mode this time.

Answer 38

So the volume of a right circular cone is
\(V = \pi r^2\dfrac{h}{3}\)

I'm curious now as to how you calculated your answer.

Answer 39

Mind explaining what you did to get your result?

Answer 40

the question has moved hero, look in the questions panel, she opened another question.