3 years ago

I need the answers to the 2 blanks

Mathematics

1 answer:

ivolga24 [154]3 years ago

8 0

We know that JL has two parts JK and KL. JL is equal to the sum of these two parts.

JL = JK + KL

Let's plug the expressions from the picture into the equation above.

2x + 8 = 2x - 2+ x - 9

Combine like terms

2x + 8 = 3x - 11

Add 11 to both sides and subtract 2x from both sides.

19 = x

KL = x - 9 = 19 - 9 = 10

In conclusion,

The value of x = 19

The length of line segment KL is 10

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3 years ago

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Check the picture below.

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$\bf \cfrac{sin(25^o)}{44}=\cfrac{sin(A)}{a}\implies \cfrac{sin(25^o)}{44}=\cfrac{sin(115.66^o)}{a} \\\\\\ a\cdot sin(25^o)=44\cdot sin(115.66^o)\implies a=\cfrac{44\cdot sin(115.66^o)}{sin(25^o)} \\\\\\ a\approx 93.8452\implies \stackrel{\textit{rounded up}}{a = 93.85}$