Question

Find the value of x.

http://curriculum.kcdistancelearning.com/courses/GEOMx-HS-A09/a/assessments/Semester1Exam/Geometry_SemesterA_Final_282q.gif

Answer 1

same dash on a side means they're equal

Answer 2

30x+11y = 12 ---------(1)
2x_+3y = 12 ----------(2)

Answer 3

yah i know that. and all the angles put together =180. i see all the peices of the puzzle. i just need help putting them togthr

Answer 4

two equations, two uknowns
you can solve them

Answer 5

dont look at angles, we dont need them here

Answer 6

30x+11y = 12 ---------(1)
2x +3y = 12 ----------(2)

Answer 7

i really dont know how to solve them. i dont know how to solve that when there are TWO variables

Answer 8

wait a sec, we may be interpretting hte problem incorrectly

Answer 9

im sorry :( i really dont know how to approach this problem

Answer 10

no it seems like thats what ur supposedd to do. i just dont know how. when there are two different variables

Answer 11

is it given that the diagram is a trap ?

Answer 12

I think the equations are

\[2x+3y = 12\] (because the sides are congruent)
\[112 = 30x+11y\] (because the angles are congruent)

Answer 13

that assumes diagram is a trap

Answer 14

so then the answer would be...

Answer 15

you didnt answer whether its a trap or not

Answer 16

well, it isn't reasonable that 2x+3y and 30x+11y both equal 12 unless one of them is negative

Answer 17

i dont know if its a trap

Answer 18

i didnt get that, but it makes no sense to assume its a trap, if its not given

Answer 19

I assume that it is a trapezoid. agreed that it could be clearer...

Answer 20

yeah watever still you need to solve 2 equations, good luck !

Answer 21

the angle is of no relevance if not a trapezoid...

Answer 22

its multiple voice. the available options are:
A.3
B.2
C.12
D.6

Answer 23

that help?

Answer 24

the answer is there if it is a trapezoid.

Answer 25

and not if we solve the "not a trapezoid" equations.

Answer 26

you can see the pic

Answer 27

solve the equations I provided and you'll get an answer you can select...

Solve the other equations and you'll get \(x = \dfrac{96}{13}, y = -\dfrac{12}{13}\)

Answer 28

dude im so lost. i hate to be this way, but ur gonna have to tell me the answer. and then how you got it

Answer 29

cuz i really just dont know how :/

Answer 30

No, I don't have to do any such thing. I'll help you figure it out, though.

\[2x+3y=12\]
(because the sides are congruent)
\[30x+11y=112\]
(because the angles are congruent)
Multiply the first equation by -15 so that when we add the two equations together, the \(x\) terms will cancel each other out and leave us an equation just in terms of \(y\).

Answer 31

Do that, add them together, tell me what you get.

Answer 32

i got 12

Answer 33

You got 12 when you multiplied the first equation by -15 and added the two equations together? What happened to \(y\)?

Answer 34

thats what i got... i dont know

Answer 35

Try it again. If you get 12 again, show me your work.

Answer 36

What is -15 * the first equation? You should have a term with \(x\), a term with \(y\), an equals sign, and a number

Answer 37

oh!! its 2!!

Answer 38

what is 2?

Answer 39

the answer!! x

Answer 40

no...

Answer 41

what!?

Answer 42

careful and correct wins the day here...you're jumping all over the place and making mistakes.

-15* first equation is

\[-15*2x - 15*3y=-15*12\]
\[-30x -45 y = -180\]Add that to the other equation:
\[30x+11y =112\]--------------------------
\[(30x-30x) + (11y-45y) = 112-180\]\[-34y = -68\]\[y=2\]
Now plug that value into either of the original equations and solve for \(x\)

Answer 43

omg............ its 3

Answer 44

thank you!

Answer 45

Bingo!

Answer 46

thank you. i would give you a thousanf medals if i could!

Answer 47

Now, let's check the answer:

2(3)+3(2) = 6+6 = 12
our sides match

30(3)+11(2) = 90 + 22 = 112
our angles match

Answer 48

1 medal and you working carefully to get the right answer in the future is all I ask :-)

Answer 49

any questions about what we did?

Answer 50

no. it make sense. thank you so much!

Answer 51

that's what I like to hear!