Answer:
j. 1st, 2nd and 3rd
Step-by-step explanation:
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➷ Angles on a straight line equal 180 degrees:
5k - 3 + 9 + k = 180
Simplify:
6k + 6 = 180
Subtract 6 from both sides:
6k = 174
Divide both sides by 6:
k = 29
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The solution to the equation includes both the positive and negative portions of the solution. x = 12, -12
Answer:
There are two ways to do this problem algebraically or trigonometrically.
Algebraically/geometrically
The ratios of the sides of a 30/60/90 tri. are x, x√3, 2x (short leg, long leg, hyp). Therefore, if the long leg is 6 'units'. then 6 = x√3. x = 6√3.
The hyp is 2x then the hypotenuse is 2(6√3) = 12√3, rationalizing is 12√3/3 = 4√3
Using Trig.
We can use sinx = y/r = opp/hyp. The long leg of 6 is opposite 60 degrees (pi/3).
Therefore, sin(pi/3) = 6/r =
r = 6/sin(pi/3) = 6/(√3/2) = 12/√3, when you rationalize you get 12√3/3 = 4√3
Answer:
B) X = 90
Step-by-step explanation:
If you plug in every answer choice as "X," you can easily find which answer helps the equation equal 40.
EX. 1/2 (or 0.50) times 90 plus -4 equals 41!
Equation with "X" filled in as 90 :
41 = 1/2 x 90 + (-4)!!!
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