Answer:
x = 20°
m∠A = 125°
Step-by-step explanation:
Angle A and B are alternate interior angle, so they are the same:
4x + 45 = 6x + 5
4x + 40 = 6x
40 = 2x
x = 20
m∠A = 6(20) + 5
m∠A = 120 + 5
m∠A = 125°
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-Chetan K
The center is at origin O(0,0).
If it contains the point, P(-8,6), then the radius r is, by Pythagoras theorem,
r=sqrt((-8)^2+6^2)=10
The general equation of a circle at centre (xc,yc) with radius r is given by
(x-xc)^2+(y-yc)^2=r^2
Substituting r=10, (xc,yc)=(0,0)
the resulting equation is therefore
(x-0)^2+(y-0)^2=10^2
or simply
x^2+y^2=100
To find the ratio in simplest form, the unit hours must be converted into minutes. 1 hour is equal to 60 minutes so 2 hours is 120 minutes. The simplest form is then
The correct answer is 1/8.