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horsena [70]
3 years ago
11

Find the value of x in each case:

Mathematics
2 answers:
diamong [38]3 years ago
8 0

Answer:

Step-by-step explanation:

Sum of 3 angles of triangle= 180

147 + 4x + x = 180

147 +5x = 180

5x = 180 - 147

5x = 33

x = 33/5

x = 6•6 (Answer)

amid [387]3 years ago
6 0

Answer:

X = 11

Step-by-step explanation:

To solve this, we need to find all the angles within the triangle. We know one angle (f) is 33 degrees because 147 + f = 180 = f = 33. Next we need to set up two more formulas to solve for x:

4x + y = 180

x + y + 33 = 180 => x + y = 147

Next, we can isolate one of the variables in one of the formulas and plug it back into the other:

x + y = 147 => y = 147 - x

4x + y = 180 => 4x + 147 - x = 180 => 3x + 147 = 180 => 3x = 33 => x = 11

I hope this helps!

-TheBusinessMan

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13. c,

14. a.

Step-by-step explanation:

13.  The length of a side PQ with coordinates of

      P as (x,y)  and Q as (w,z)

       is: \sqrt{(x-w)^{2} +(y-z)^{2} }

  • so, the length of the side AB =

\sqrt{(5-5)^{2}+(-2+7)^{2}  } =\sqrt{0^{2}+5^{2}  } =5

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\sqrt{(5-1)^{2}+(-7+2)^{2}  } =\sqrt{(4)^{2}+(-5)^{2}  } =\sqrt{4^{2}+5^{2}  }

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3 years ago
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