For the first box on the left hand side, the answer is m < 1 + m < 2 = 180 as they are a linear pair
The first box in the right-hand column is "linear pair postulate" as its very similar to the previous line
The second box on the left-hand side is m < 1 + m < 2 = m < 2 + m < 3. Essentially we're doing replacements. Similar to how x+3 = 10 turns into 7+3 = 10 when we plug in x = 7
The second box on the right-hand side is "subtraction property of equality". We subtract "m < 2" from both sides to end up with m < 1 = m < 3
To find the answer we simply work out the equation.
cos (75) = 10/x
cos (75) * x = 10. Here, I simply multiplied both sides by x to move x to the left hand side of the equation.
x = 10 / cos (75) Here, I divided cos (75) on both sides to move cos (75) to the right hand side of the equation.
The cosine of 75 is 0.92175127, so, 10 / 0.92175127 = 10.8489137
Answer:
K = 3/2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
k−9=5(k−3)
k+−9=(5)(k)+(5)(−3)(Distribute)
k+−9=5k+−15
k−9=5k−15
Step 2: Subtract 5k from both sides.
k−9−5k=5k−15−5k
−4k−9=−15
Step 3: Add 9 to both sides.
−4k−9+9=−15+9
−4k=−6
Step 4: Divide both sides by -4.
-4k/-4 = -6/-4
K = 3/2
By the pythagorean theorem, we know that (leg1)^2 + (leg2)^2 = hypotenuse^2. to see the proof refer to the following link: http://jwilson.coe.uga.edu/EMT668/EMT668.Student.Folders/HeadAngela/essay1/Pythagorean.html
plugging in what we know we have 16^2 + leg^2 = 20^2 and we find that leg = 12.
