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Mathematics 19 Online
OpenStudy (anonymous):

a quadrilateral has no pairs of parallel sides which name best describes the figure.

jimthompson5910 (jim_thompson5910):

Depending on your book, the answer is either trapezoid or trapezium. This is because the definition of both trapezoid or trapezium vary throughout the world.

jimthompson5910 (jim_thompson5910):

Eg: In the US, a trapezoid is a quadrilateral with EXACTLY one pair of parallel sides

OpenStudy (anonymous):

i was going to go with a trapezoid but i wasn't sure?

jimthompson5910 (jim_thompson5910):

and in the US, a trapezium is a quadrilateral with NO parallel sides

jimthompson5910 (jim_thompson5910):

So because I'm guessing you're in the US (if not, my apologies), your answer will most likely be trapezium.

OpenStudy (anonymous):

hey i got another question

jimthompson5910 (jim_thompson5910):

what's that?

OpenStudy (anonymous):

3x-14=x+30 those are the answers they give me. 22 76 16 30

jimthompson5910 (jim_thompson5910):

Any ideas where to start?

OpenStudy (anonymous):

hell no lol

jimthompson5910 (jim_thompson5910):

we want to get x all by itself So we want x on one side and everything else on the other

jimthompson5910 (jim_thompson5910):

So start with adding 14 to both sides 3x-14=x+30 3x-14+14=x+30+14 3x = x+44

jimthompson5910 (jim_thompson5910):

Then subtract x from both sides 3x = x+44 3x-x = x+44-x 2x = 44

jimthompson5910 (jim_thompson5910):

Finally divide both sides by 2 to isolate x 2x = 44 2x/2 = 44/2 x = 22

OpenStudy (anonymous):

omg thank youu!!!!!!

jimthompson5910 (jim_thompson5910):

you're welcome

OpenStudy (anonymous):

a square ABCD has the vertices A(n,n) B(n,-n) C(-n,-n) and D(-n,n) which is in quadrant three

jimthompson5910 (jim_thompson5910):

Does it say if n is positive or negative?

OpenStudy (anonymous):

the coordinates.

OpenStudy (anonymous):

in*

jimthompson5910 (jim_thompson5910):

Well if n is positive, then (n,n) is in quadrant I, (-n,n) is in quadrant II, (-n,-n) is in quadrant III So if n is positive, then the answer is C(-n,-n)

OpenStudy (anonymous):

omg how are you so smart

jimthompson5910 (jim_thompson5910):

just a lot of practice

OpenStudy (anonymous):

are you graduated from school?

jimthompson5910 (jim_thompson5910):

So I'm guessing that was the correct answer? I wish it told you whether n was positive or not...

jimthompson5910 (jim_thompson5910):

yes I'm in college

OpenStudy (anonymous):

dang where do you go if thats not creepy

jimthompson5910 (jim_thompson5910):

I'm not sure what you mean

jimthompson5910 (jim_thompson5910):

oh you mean where do I go to college?

OpenStudy (anonymous):

yeah

jimthompson5910 (jim_thompson5910):

humboldt state university

OpenStudy (anonymous):

wheres that?

jimthompson5910 (jim_thompson5910):

in california

jimthompson5910 (jim_thompson5910):

i guess its not well known, but it's still a great school

OpenStudy (anonymous):

thats cool :)

jimthompson5910 (jim_thompson5910):

yes, I like it a lot

OpenStudy (anonymous):

okay another question what is the most precise name for quadrilateral ABCD with vertices A(-5,2) B(-3,6) C(6,6) and D(4,2) Parallelolgram rectangle rhombus quadrilateral

jimthompson5910 (jim_thompson5910):

Let me graph the points real quick, one sec

OpenStudy (anonymous):

kk

jimthompson5910 (jim_thompson5910):

If you plot the points and draw segments between them, you'll get what you see in the attached image. So we get a parallelogram

jimthompson5910 (jim_thompson5910):

Another way to do this is to compute the slopes and compare them. You'll find that the slopes of the opposite sides are equal. So this will confirm that we have a parallelogram.

OpenStudy (anonymous):

okay i think i get it .

jimthompson5910 (jim_thompson5910):

that's great

OpenStudy (anonymous):

what is the most precise name for quadrilateral ABCD with vertices A(-5,-1) B(-5,3) C(-2,3) and D(-2,-1) i graphed it but i think its wrong. i got a quadrilateral Parallelolgram rectangle rhombus quadrilateral am i wrong? hahaha

jimthompson5910 (jim_thompson5910):

well anything with four sides is a quadrilateral, so you're not wrong but....that's not what they're looking for since there's a better term (quadrilateral is a bit vague in this context)

jimthompson5910 (jim_thompson5910):

let me graph it real quick and post the pic for you

jimthompson5910 (jim_thompson5910):

take a look at the attached, you'll find that each angle is 90 degrees but not all sides are equal to each other So we have a rectangle.

OpenStudy (anonymous):

damnn, i regraphed it and then i got that rectangle

jimthompson5910 (jim_thompson5910):

so you probably lost a sign somewhere

jimthompson5910 (jim_thompson5910):

but that's great that you got what I got

OpenStudy (anonymous):

haha slowly getting it

jimthompson5910 (jim_thompson5910):

lol there's no hurry, take all the time you need

OpenStudy (anonymous):

lol i just very much appreciate you helping me i feel like i am annoying you.

jimthompson5910 (jim_thompson5910):

no not at all

OpenStudy (anonymous):

whats your name if you doont mind me asking

jimthompson5910 (jim_thompson5910):

Jim

OpenStudy (anonymous):

hhaha wow i feel like an idiot

jimthompson5910 (jim_thompson5910):

lol that's ok, your brain is probably overloaded on too much math

OpenStudy (anonymous):

it is lol =\

jimthompson5910 (jim_thompson5910):

then that means it's time for a much needed break

OpenStudy (anonymous):

noo i gotta get this done =\ i am just trying to get help on the hard problems

jimthompson5910 (jim_thompson5910):

good point, it's always good to just get it done and over with asap

OpenStudy (anonymous):

haha exactly okay i do not know how i solve this?

jimthompson5910 (jim_thompson5910):

which one are you referring to?

OpenStudy (anonymous):

Given: The coordinates of a rectangle DEFG are D(0,b) E(a,b) F(a,0) and G(0,0). Prove: The Diagnols of a rectangle are congruent. As part of the proof, find the length of DF A. sqr a-b B. sqr a^2-b^2 C. sqr a^2+b^2 D. sqr a+b

jimthompson5910 (jim_thompson5910):

The length of DF is the same as the distance between points D(0,b) and F(a,0) . To do this, we use the distance formula. d = sqrt( (x1-x2)^2 + (y1-y2)^2 ) d = sqrt( (0-a)^2 + (b-0)^2 ) d = sqrt( (-a)^2 + (b)^2 ) d = sqrt( a^2 + b^2 ) So it looks like the answer is choice C

OpenStudy (anonymous):

okay so i have 5 more problems like this do i follow the same steps you did for this one?

jimthompson5910 (jim_thompson5910):

yes, if you're finding the length of a segment, you just use the distance formula to find the distance between the two endpoints

OpenStudy (anonymous):

okay :)

OpenStudy (anonymous):

alright heres a biggin, and i promise iam done asking you questions lol

jimthompson5910 (jim_thompson5910):

lol don't worry, you're not annoying me

OpenStudy (anonymous):

well i just hate how i dont understand this ughhhh if i can pass algebra with an A i dont understand why i can pass this geometry crapp

OpenStudy (anonymous):

alg 2*

jimthompson5910 (jim_thompson5910):

well geometry is definitely a lot different from algebra, so if you were used to algebra, then it's probably a whole different experience for you...so don't feel bad that you don't get everything at first

jimthompson5910 (jim_thompson5910):

just keep at it and you'll get it eventually

OpenStudy (anonymous):

thank god i am not going to college to be a math teacher, i'd fail lmao

jimthompson5910 (jim_thompson5910):

lol well hopefully you'll go for something you love

OpenStudy (anonymous):

i am :) i graduate in a year !

jimthompson5910 (jim_thompson5910):

very cool :)

OpenStudy (anonymous):

okay heres the question.

OpenStudy (anonymous):

Given: The coordinates of isosceles trapezoid JKLM are J(-b, c) K(b,c) L(a,0) and M(-a,0) Prove: The diagonals of an isosceles trapezoid are congruent . As part of the proof fine the length KM A: sqr (a+b)^2+c^2 B: sqr(-a+b)^2+c^2 C: sqr(a-b)^2+c^2 D: sqr a^2+b^2+c^2

jimthompson5910 (jim_thompson5910):

Again, we're using the distance formula to find the distance between K and M d = sqrt( (x1-x2)^2 + (y1-y2)^2 ) d = sqrt( (b-(-a))^2 + (c-0)^2 ) d = sqrt( (b+a)^2 + (c)^2 ) d = sqrt( (a+b)^2 + c^2 ) So it looks like the answer is choice A

OpenStudy (anonymous):

alright that makes sense i just messed up i think i set my problem wrong

jimthompson5910 (jim_thompson5910):

Perhaps you mixed up some signs?

OpenStudy (anonymous):

like i look at your wor kk and then mine i am always off by like one step

jimthompson5910 (jim_thompson5910):

i gotcha

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