Answer:
∠RST = 120°
Step-by-step explanation:
We assume the positions of the lines and angles will match the attached figure. The angle addition theorem gives a relation that can be solved for x, then for the value of angle RST.
∠RSU +∠UST = ∠RST
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78° + (3x -12)° = (6x +12)° . . . . . substitute given values into the above
54 = 3x . . . . . . . . . . . . . . . . divide by °, subtract 3x+12
108 = 6x . . . . . . . . . . . multiply by 2
120° = (6x +12)° = ∠RST . . . . add 12, show units
The measure of angle RST is 120 degrees.
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<em>Additional comment</em>
Note that we don't actually need to know the value of x (18) in this problem. We only need to know the value of 6x.
Sharon's age= 2x
Brian's age= x
(2x-5)+(x-5)= 25
3x-10=25
3x=15
x=5
Brian is 5 years old and Sharon is 10
Answer:
The tip would be worth $2.19
Step-by-step explanation:
x - is the full bill
1/20 x = $0.73
Solve for x:
Multiply both sides by 20.
<u>20</u>*(1/20 x) = <u>20</u>*(0.73)
x = 14.6
Now we just have to find 15% of x to find the tip.
3/20 (14.6) = 2.19
So, the tip would be worth $2.19
Well, that would be 4 tables to fit 20 people but would not be enough for 2 more people so I would say 5 tables total.
-Hope this helps.
Letter D
A = 135°
B = 30°
cosAcosB - sinAsinB = cos(A+B)
cos(135°+30°)
cos(165°)