The Pythagorean equation relates the sides of a right triangle in a simple way, so that if the lengths of any two sides are known the length of the third side can be found. Another corollary of the theorem is that in any right triangle, the hypotenuse is greater than any one of the other sides, but less than their sum.
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Answer:
step 1. <2 + 40° = <1
step 2. <1 + 72° = 180°
step 3. <1 = 108°
step 4. <2 = 108° - 40° = 68°.
The answer is x=3
I hope this helps
Answer:
The other angle is 58 degrees
Step-by-step explanation:
Supplementary angles add to 180 degrees
Let the other angle be x
x+122 = 180
Subtract 122 from each side
x+122-122= 180-122
x = 58
The other angle is 58 degrees
Answer: 8.50 dollars
The result is positive, so this is a gain (instead of a loss)
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Explanation:
Focus on the "stock JKL" row only when it comes to the percentages we'll use. We need to convert them to decimal form
15% ---> 0.15
65% ---> 0.65
20% ---> 0.20
I just moved the decimal point over 2 spots, or you can divide by 100 (eg: 15% = 15/100 = 0.15)
Multiply each of these values by their corresponding loss or gain. Use negative numbers for losses
15% chance of losing $25 ---> 0.15*(-25) = -3.75
65% chance of winning $5 ---> 0.65*(5) = 3.25
20% chance of winning $45 ---> 0.20*(45) = 9
Now add up those results: -3.75+3.25+9 = 8.50
