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Lapatulllka [165]
3 years ago
5

Use your knowledge of the Triangle Sum Theory to solve for x. Then solve for ∠ L. help plss

Mathematics
1 answer:
krok68 [10]3 years ago
7 0

Answer:

X= 15

K=45

Step-by-step explanation:

The Triangle Sum Theory means that every interior angle of a triangle sums up to 180. My first approach was to put 169 as x but that isn’t correct. That is because a triangle’s smallest angles have to add up to be more than the biggest angle. Ex (10, 5, 7 that is a triangle because the sum of 5+7 is more than 10) So as you can see there are x’s next to the other numbers. That is because x needs to be able to multiply with the other numbers and stand on it’s own and add up to 180. So this would be the equation: X+8•X+3•X=180. You should find that 15 makes everything add up to 180. Now knowing x is 15 now we know that 3x is equal to 45. So k=45 That is how you solve this tricky question. Hope this helps! ❤️

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Gnoma [55]
Hi there!! 

First, we are going to find the improper fraction of each mixed number. 

10 1/3 >>>>> 10*3+1=31 31/3

2 2/3 >>>>> 2*3+2=8.      8/3 

5 1/3 >>>>>> 5*3+1 = 16.  16/3 

TO find the reciprocal, we switch the numerator with the denominator. 

31/3 changes to 3/31, 8/3 changes to 3/8, and finally 16/3 changes to 3/16. 


Your answer is: 

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