Answer:
x=10°
y = 12°
Step-by-step explanation:
<TSV = 5x + 4x = 90°
=> 9x = 90°
Divide by 9,
x = 10°
<RSU = 10y + 10° + 5x = 180°
=> 10y + 10° + 5*10° = 180°
=> 10y + 10° + 50° = 180°
=> 10y + 60° = 180°
Subtract 60° on both sides,
10y = 180° - 60° = 120°
Divide by 10,
y = 120° / 10 = 12°
Sorry my points are messed up, but i hope you can see through the mess and get your points graphed!
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i hope this helps!
Step-by-step explanation:
The center of a circle with 2 end points of a di diameter is the midpoint of the two endpoints.
The formula needed to find the minpoints is
(x,y) = (x2 + x1)/2, (y2 + y1)/2
x2 = 3
x1 = 3
y2 = 0
y1 = -7
midpoint = (3 + 3)/2, (0 - 7)/2
midp[oint = 3,-3.5
The midpoint is the center of the circle. Observe that the signs get changed when entering the values for (x,y)
So far what you have is (x - 3)^2 + (y + 3.5)^2 = r^2
To determine r^2 you need only take the distance from the center to oneof the endpoints.
r^2 = (3 - 3)^2 + (3.5 - 0)^2
r^2 = 3.5^2
r^2 = 12.25
Answer: (x - 3)^2 + (y + 3.5)^2 = 12.25
Let hours = x
She can work a maximum of 30 hours so x can be any number from 30 or below.
The inequality would be: X <= 30
Using the Law of Sines (sina/A=sinb/B=sinc/C for any triangle)
sinR/30=sin96/54
sinR=30sin96/54
R=arcsin(30sin96/54)°
R≈33.5° (to nearest tenth of a degree)