anonymous
  • anonymous
Halp!! Find the missing part. Enter a whole number for your answer. https://media.glynlyon.com/a_matgeo_2011/5/mis.gif z =
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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ivettef365
  • ivettef365
use the Pythagorean theorem
jdoe0001
  • jdoe0001
using the pythagorean theorem, what would you get for side "x"?
anonymous
  • anonymous
164right?

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ivettef365
  • ivettef365
sqrt164
anonymous
  • anonymous
so |dw:1370893000577:dw|
ivettef365
  • ivettef365
then you can simplify (4x41), you have 2sqrt41
jdoe0001
  • jdoe0001
yes
jdoe0001
  • jdoe0001
or \(2\sqrt{41}\)
anonymous
  • anonymous
is 2√41 my answer or √164?
jdoe0001
  • jdoe0001
to find "z" or "y", use the the identities of http://fouss.pbworks.com/f/tigratios.JPG
jdoe0001
  • jdoe0001
$$ tan(z) = \cfrac{opp}{adj} \implies tan(z) = \cfrac{8}{10}\\ \implies \color{red}{tan^{-1}}(tan(z)) = \color{red}{tan^{-1}}\pmatrix{\cfrac{8}{10}}\\ \implies z = \large ? $$
jdoe0001
  • jdoe0001
hmm, I got the sides wrong there, one sec :/
jdoe0001
  • jdoe0001
opposite sided, is the side FACING OFF the angle :), so you know, thus
jdoe0001
  • jdoe0001
$$ tan(z) = \cfrac{opp}{adj} \implies tan(z) = \cfrac{10}{8}\\ \implies \color{red}{tan^{-1}}(tan(z)) = \color{red}{tan^{-1}}\pmatrix{\cfrac{10}{8}}\\ \implies z = \large ? $$
anonymous
  • anonymous
ok so i went and did tanz=opposite/adjacent=10/8, and got 1.25
jdoe0001
  • jdoe0001
1.25 is right, so, what's the \(tan^{-1}\) of 1.25? or in other words What is the angle whose Tangent is 1.25?
anonymous
  • anonymous
51 degrees
jdoe0001
  • jdoe0001
yes
jdoe0001
  • jdoe0001
well, 51.34 and some change, but rounded off 51 is good so, in a triangle, all INTERNAL ANGLES add up to ?
anonymous
  • anonymous
Really!?
jdoe0001
  • jdoe0001
how many degrees INTERNAL ANGLES in a triangle add up to?
anonymous
  • anonymous
180
jdoe0001
  • jdoe0001
right, so, in the picture you have a 90 degrees angle, now you have "z" a 51 degrees angle, so, whatever is left, should add up to 180 :), and that'd be "y" angle
anonymous
  • anonymous
90+51+8+10?
anonymous
  • anonymous
or am i way off.
jdoe0001
  • jdoe0001
well, 180 - (90+51) = y
anonymous
  • anonymous
y=39?
jdoe0001
  • jdoe0001
yes
anonymous
  • anonymous
Thank You So MUCH!
jdoe0001
  • jdoe0001
so, 90+51+39 = \(180^o\) of internal angles

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