Step-by-step explanation:
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Answer:
KL = 50
Step-by-step explanation:
∆JML is similar to ∆JNL. it follows that:
[tex] \frac{JM}{JN} = \frac{JL}{JK} [\tex]
JM = 4 + 20 = 24
JN = 4
JL = 10 + KL
JK = 10
Plug in the values
[tex] \frac{24}{4} = \frac{10 + KL}{10} [\tex]
[tex] 6 = \frac{10 + KL}{10} [\tex]
Multiply both sides by 10
[tex] 6*10 = \frac{10 + KL}{10}*10 [\tex]
[tex] 60 = 10 + KL [\tex]
Subtract 10 from each side
[tex] 60 - 10 = KL [\tex]
[tex] 50 = KL [\tex]
KL = 50
First, you have to get rid of the square root and in order to do that you get rid of the radical by going to the power of 2 or "squared"
A + b = 90
a = 2b - 15
2b - 15 + b = 90
3b - 15 = 90
3b = 90 + 15
3b = 105
b = 105/3
b = 35 <== second angle
a = 2b - 15
a = 2(35) - 15
a = 70 - 15
a = 55 <== first angle
