Answer:
x = 55
y = 60
Step-by-step explanation:
If a quadrilateral is inscribed in a circle, then its opposite angles are supplementary. So E and G are supplementary, and H and F are supplementary.
x + 15 + 2x = 180
3x + 15 = 180 combine like terms
3x = 165 subtract 15 from both sides
x = 55 divide both sides by 3
y + 3y - 60 = 180
4y - 60 = 180 combine like terms
4y = 240 subtract 60 from both sides
y = 60 divide both sides by 4
Bag A : 3 white, 2 red....total of 5
Bag B : 6 white, 3 red....total of 9
P(both picks are white) = 3/5 * 6/9 = 18/45 reduces to 2/5 <==
Here, Area of a Triangle = 1/2 * b * h
A = 1/2 * 6 * 8
A = 1/2 * 48
A = 24
Area of two traingles = 2(24) = 48
Now, Area of a rectangle = 25 * 5 = 125
Now, Total area of the figure = 125 + 48 = 173 units2
In short, Your Answer would be Option A
Hope this helps!
Subtract 3 from each side to isolate the x and you get x=y-3
Answer:
114.89 degrees
245.11 degrees
Step-by-step explanation:
cos is negative in the second and third quadrant ("pointing" on the x-axis to the left).
so, the first answer for the second quadrant is
114.89 degrees.
the answer for the third quadrant is then backwards the same angles from a full 360 degree rotation
360 - 114.89 = 245.11 degrees