Find the exact value of tan(M).

- anonymous

Find the exact value of tan(M).

- chestercat

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- anonymous

do we know anything at all about \(M\)?

- anonymous

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- anonymous

\[\tan(M)=\frac{\text{opposite}}{\text{adjacent}}\]

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## More answers

- anonymous

|dw:1443665613699:dw|

- anonymous

oh 5/12

- anonymous

yup

- anonymous

can I ask more?

- anonymous

:)

- anonymous

sure why not?

- anonymous

btw you have my second favorite name on OS

- anonymous

The diagonals of kite KITE intersect at point P. Which statement is true?

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- sweetburger

to find m wouldnt you need to take tan-1(5/12)

- sweetburger

tan^-1(5/12) sorry typo

- anonymous

Thank you @satellite73 what's your first favorite :)

- anonymous

@sweetburger no

- anonymous

i just said second because i didn't want to totally commit

- sweetburger

alright

- anonymous

btw i am going to take a stab at this geometry, but no guarantees
what are the options for this "which of the following"

- anonymous

A)

- anonymous

going to take a minute to go through all of these

- anonymous

the last one is true for sure

- anonymous

i think that is the only one

- anonymous

i was hoping for more trig

- anonymous

If TUVW is an isosceles trapezoid with TU/ parallel to WV/, name a pair of similar triangles. Explain.

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- anonymous

WTV and WUV are similar
the diagonals have the same length, TW equals UV and angle W equals angle V

- anonymous

A.
triangle UXV= triangle WXT by the SAS similarity theorem.
B.
triangle TXU= triangle WXV by the SAS similarity theorem.
C.
triangle WUV= triangle TVW by the AA similarity postulate.
D.
triangle TXU= triangle VXW by the AA similarity postulate.

- anonymous

ughh... that took a long time.

- anonymous

yeah now let me check

- anonymous

ok first one looks good, but let me keep checking

- anonymous

not B

- anonymous

Ok :)

- anonymous

Verify the identity.
cos 4x + cos 2x = 2 - 2 sin2 2x - 2 sin2 x

- anonymous

hold the phone, not done with the previous one (i hate geometry)

- anonymous

same... I hate it too.

- anonymous

cause C looks good too
damn
lets move on

- anonymous

\[\cos (4x )+ \cos (2x) = 2 - 2 \sin^2( 2x) - 2 \sin^2(x)\] i am a bit confused with the 2's can you post a screen shot or is that it?

- anonymous

hey could we hold off on this problem for a sec, we'll come back to it. Is that fine?

- anonymous

sure

- anonymous

let me guess, more shape...

- anonymous

In the figure,line AB is parallel to line CD. If the area of triangle CED/ is 425, the area of BEA / is 68, and BE = 10, find CE.

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- anonymous

yup lol.

- anonymous

A.
25
B.
36
C.
48
D.
62.5

- anonymous

the big triangle has area 425 and the small one area 68 is that right?

- anonymous

yes

- anonymous

ok we can do this

- anonymous

the ratio of the big area to the small area is \(425:68\) which reduces to \(25:4\)
or \(\frac{25}{4}\)
the ratio of the sides is therefore the square root of that, namely \(
\frac{5}{2}\)

- anonymous

since \(BE=10\) multply it by \(\frac{5}{2}\) and get \(25\)

- anonymous

Yea I did that.

- anonymous

ok good

- anonymous

what do I do next?

- anonymous

have a beer?

- anonymous

pick A we are done, the answer is 25

- anonymous

Find the equation of the circle that has a diameter with endpoints located at (-5,-3) and (-11,-3)

- anonymous

this is much easier

- anonymous

first find the midpoint
you got that?

- anonymous

do I have to type in the answer choices...

- anonymous

no we can knock this out in a heartbeat

- anonymous

what is the average of \(-5\) and \(-11\)?

- anonymous

you know what i mean? add them up, divide by 2

- anonymous

lol no

- anonymous

\[-5-11=-16\]
\[-16\div 2=-8\]

- anonymous

ok in any case that makes the midpoint \((-8,-3)\) so the equation is
\[(x+8)^2+(y+3)^2=r^2\]now we need \(r\)

- anonymous

the distance between \((-8,-3)\) and \((-5,-3)\) is evidently 3 (from -8 to -5 is 3 units) so \(r=3\)

- anonymous

final answer \[(x+8)^2+(y+3)^2=9\]

- anonymous

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- anonymous

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- anonymous

i hate to break it to you but i have no $%#@ing idea

- anonymous

Lol that alright, hold on.

- anonymous

repost i am sure someone knows this
and i am sure it is not me

- anonymous

Triangle GHI is similar to triangle JKL. If IH=36 and KP=18, LK=24 then MH=_____.
A.
12
B.
20
C.
27
D.
48

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- anonymous

it take goddamn forever just to read it
hold on

- anonymous

@satellite73 That's fine for now we'll move on from that problem :) ^

- anonymous

no it is doable give me a sec

- anonymous

Lol alrighty.

- anonymous

\[\frac{18}{24}=\frac{3}{4}\] and so \[\frac{MH}{36}=\frac{3}{4}\] making \[MH=\frac{3\times 36}{4}\]

- anonymous

i hope 27 is a choice

- anonymous

it is ty!

- anonymous

whew
did i mention that i hate geometry?

- anonymous

Lol yes you did.

- anonymous

The diagonals of rectangle NOPQ intersect at point R. If OR=3x-4 / and NP=5x+20/, solve for x.
A.
2
B.
3
C.
12
D.
28

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- anonymous

\[2\times OR=NP\] pr
\[2(3x-4)=5x+20\] solve for \(x\)

- anonymous

*or

- anonymous

6x-8=5x+20
-5x -5x
x-8=20
+8 +8
x=28 yay!

- anonymous

yay indeed

- anonymous

Find the volume of a sphere with a diameter 40 cm in length. Approximate pi as 3.14 and round your answer to the nearest tenth.
A.
5,026.5 cm^3
B.
33,493.3 cm^3
C.
42,090.0 cm^3
D.
268,082.6 cm^3

- anonymous

google

- anonymous

Lol fine with me.

- anonymous

it comes right up

- anonymous

just plug in the radius, 20

- anonymous

you see it?

- anonymous

Yes!

- anonymous

google give me 33510.32 so i guess it is more exact the using 3.14

- anonymous

Given that WXYZ is a rhombus, find the value of x.
A. 15
B. 20
C. 30
D. 45

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- anonymous

aaarghhh

- anonymous

oh not arrgghhh

- anonymous

\[4x-10=2x+20\] solve in your head

- anonymous

Lol

- anonymous

got it?

- anonymous

15

- anonymous

bingo

- anonymous

where is all this hell coming from?

- anonymous

If , arC NTM = arc OUM, line SP = line SQ/, S is the center of the circle, and OM = 18, find NT. Round the answer to the hundredths place.
A.
11.50
B.
11.92
C.
12.05
D.
12.37

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- anonymous

no clue

- anonymous

Hold on.

- anonymous

Find the value of x. Round the answer to the nearest tenth, if needed.
A.
9
B.
18.9
C.
22
D.
32.1

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- anonymous

got logged out

- anonymous

I'll be right back.

- anonymous

this one is ok \[\frac{x}{21}=\frac{49}{x}\] or
\[x^2=1029\] making \[x=\sqrt{1029}\]

- anonymous

same I lost connection or something.

- anonymous

site is sometimes bad

- anonymous

Which of the following statements apply to a polygon with eight sides?
i. It is a hexagon.
ii. It is a heptagon.
iii. It is an octagon.
iv. It has a total interior angle measure of 1,080º.
v. Each interior angle is 135º.
A.
i, v
B.
ii, iv
C.
iii, v
D.
iii, iv, v

- anonymous

octagon for sure
interior angles add to 1080

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