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8
Assume that lines that appear to
be tangent are tangent. Find
the value of x and y.
Yº
95°
72
a) x = 60.5, y = 193
b) x = 193, y = 60.5
c) x = 193, y = 132.5
d) x = 72, y = 193
e) x = 60.5, y = 220
go to (5,3)
go to (0, 2)
go to (-4,6)
go to (-2, 3)
go to (7, 1)
Type here to search
2:32 AM

The answer is B

Step-by-step explanation:

1st we need to find the measure of the x. Since one of the arc measure 95 degrees, another minor arc measure 72. There is 360 degress in a circle so using arc addition,The rest of a circle that is remaining (x) can be determined by this formula

Since there is a point that stops at a circle circumference, there is a tangent. There is also a secant in the circle.

Now we can use this theorem,

The measure of an angle formed by two secants, two tangents, or a secant and a tangent drawn from a point outside the circle is equal to half the difference of the measures of the intercepted arcs.

In other words

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option