sloppycanada
  • sloppycanada
Triangle ABC is congruent to triangle XYZ. Angel A measures 50 degrees. Angle B measures (2x+40) and angle Y (4x+8). Find the value of x. How do I set this up proportionally?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
|dw:1435807242985:dw| The vertices correspond. a-x b-y c-z
anonymous
  • anonymous
then you can set angle b = y and solve for x
sloppycanada
  • sloppycanada
x = 8? I can't believe I did not see that. It looks so simple now that you've written it...

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anonymous
  • anonymous
I've been there many a-time :p
sloppycanada
  • sloppycanada
Sorry x =16.
anonymous
  • anonymous
2x=32 x=16 yeah
sloppycanada
  • sloppycanada
ABC is congruent to XYZ. A = 50 B = 2x+40, Z = 4x + 8
anonymous
  • anonymous
you can make C = z then you know that all interior angle triangle angles add up to 180
sloppycanada
  • sloppycanada
|dw:1435807481419:dw| Like this?
sloppycanada
  • sloppycanada
But I don't have the value of "C"
anonymous
  • anonymous
c is z remember the congruence statement abc=xyz a=x b=y c=z
anonymous
  • anonymous
|dw:1435807584943:dw|
anonymous
  • anonymous
|dw:1435807613008:dw| 50+2x+40+4x+8=180
anonymous
  • anonymous
that doesn't seem right though
anonymous
  • anonymous
because I don't get an exact number for x
sloppycanada
  • sloppycanada
x = 12?
anonymous
  • anonymous
\(6x=82\\x=\dfrac{82}{6}=\dfrac{41}{3}\)
sloppycanada
  • sloppycanada
|dw:1435807822974:dw|
anonymous
  • anonymous
6*12 = 72 which leaves 10 remainder
anonymous
  • anonymous
check the angles to make sure they're right
sloppycanada
  • sloppycanada
Oh yeah....
anonymous
  • anonymous
or if you can give a fraction as an answer 41/3 is fine
sloppycanada
  • sloppycanada
Triangle ABC is similar to triangle XYZ. Side AB measures 2, side BC measures x + 5, side CA measures x + 7, side XY measures 4 and side ZX measures 4x – 2. Find the value of x. I'll give with it simplified and the fraction, that way I can't be wrong.
sloppycanada
  • sloppycanada
|dw:1435808017048:dw|
anonymous
  • anonymous
this is different. they're similar not congfruent
sloppycanada
  • sloppycanada
Is it a ratio thing?
anonymous
  • anonymous
yeah
sloppycanada
  • sloppycanada
|dw:1435808243519:dw|
anonymous
  • anonymous
looks good to me.simplify the leftside and then multiply both sides by x+5 to get rid of the deonominator on the right
anonymous
  • anonymous
or you could just "cross multiply" but that's unnecessary and not actually a technique technically
sloppycanada
  • sloppycanada
x = 5.5?
anonymous
  • anonymous
\(2(x+5)=4x-1\\2x+10=4x-1 \\11=2x\\x=5.5\) looks right
sloppycanada
  • sloppycanada
That doesn't work under my answers though, should be 6.33 7.2 5 8
anonymous
  • anonymous
Triangle ABC is similar to triangle XYZ. Side AB measures 2, side BC measures x + 5, side CA measures x + 7, side XY measures 4 and side ZX measures 4x – 2. Find the value of x. |dw:1435808585813:dw|
anonymous
  • anonymous
looks like another careless mistake
anonymous
  • anonymous
:D
sloppycanada
  • sloppycanada
Life hates me. x= 8
anonymous
  • anonymous
looks right
sloppycanada
  • sloppycanada
Triangle ABC is similar to triangle FGH. Angle A measures 42 degrees. Angle G measures 49 degrees. Find the measure of angle H.
anonymous
  • anonymous
similar polygons have equal angles

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