anonymous
  • anonymous
Given: <1 = (x + 7), <2 = (2x - 3),
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
@Compassionate |dw:1378176756311:dw|
anonymous
  • anonymous
can i help?
anonymous
  • anonymous
yeah sure!

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anonymous
  • anonymous
ok. so you know that angle ABC equals x^2 right?
anonymous
  • anonymous
Yes
anonymous
  • anonymous
and you know that if you add angle 1 and angle 2, you get angle ABC
anonymous
  • anonymous
so that means (x+7)+(2x-3)=x^2
anonymous
  • anonymous
Ok
anonymous
  • anonymous
now solve for x. then when you find that x, you can find x^2. then you use the x (not x^2!) to figure out what 5x-4 is. when you do those, you can see if x^2 is equal to 5x-4. if they are, then you have proven that they are congruent angles
anonymous
  • anonymous
Ok so its 3x + 10 =x^2 So do you subtract 10 from both sides?
anonymous
  • anonymous
be careful there! its -3 not +3.
anonymous
  • anonymous
so 3x + 4 = x^2.
anonymous
  • anonymous
Oh! Ok So now do I subtract 4 from both sides
anonymous
  • anonymous
yup, you subtract the 4, but you also subtract the 3x. so you will get x^2 - 3x - 4 = 0.
anonymous
  • anonymous
then you use the quadratic formula to solve for x. do you remember the quadratic formula?
anonymous
  • anonymous
Why would you also substract the 3x
anonymous
  • anonymous
subtract*
anonymous
  • anonymous
because it has an x^2, you have to solve by using the quadratic formula
anonymous
  • anonymous
oh ok
anonymous
  • anonymous
you remember the quadratic formula, right?
anonymous
  • anonymous
yeah give me a second to figure the problem out
anonymous
  • anonymous
ok
anonymous
  • anonymous
Wait so A is 1, b is 3, and c is -4? then i plug that into the equation?
anonymous
  • anonymous
b is -3
anonymous
  • anonymous
yeah sorry i meant -3
anonymous
  • anonymous
yup, you plug the a, b, c into the equation
anonymous
  • anonymous
So x = 4, -1
anonymous
  • anonymous
right. but if you have -1, you will end up with a negative angle, so we cant have that. So the answer is 4. So x^2 is 16, right? which means angle ABC is 16. now angle D is 5x-4. plug 4 in for that, what do you get?
anonymous
  • anonymous
16
anonymous
  • anonymous
right. so if 16 = 16, you just figured it out! congratulations!
anonymous
  • anonymous
Thanks so much for your help!
anonymous
  • anonymous
no problem, anytime! by the way, Lady gaga is more weird than awesome :P
anonymous
  • anonymous
Haha she has her own unique style
anonymous
  • anonymous
lol

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