Answer:
Part a) minor arc: XY; major arc: XVY
Part b) 
Part c) The tangent line is UV and the secant line is XY
Part d)
or 
Step-by-step explanation:
Part a) we know that
The major arc is the larger arc joining two points on the circumference of a circle. Is an arc larger than a semicircle.
The sum of major and minor arcs is the whole circle, 360°
In this problem, possible major arcs are
VYX, VXY, XVY
and the corresponding minor arcs are
VX, VY, XY
Part b) we know that
The sum of major and minor arcs is the whole circle, 360°
so
Let
x------> measure minor arc
y-------> measure of major arc

we have

substitute


Part c) we know that
A tangent line intersects a circle at exactly one point.
In this problem
The tangent line is UV
A secant line intersects a circle in two points.
In this problem
The secant line is XY
Part d) we know that
The <u>Intersecting Secant Theorem</u> States: When two secant lines intersect each other outside a circle, the products of their segments are equal
so




Simplify
or 
Step-by-step explanation:
The area of triangle =
4*3/2=6
The area of Rectangle=
7*4=28
The total =
28+6=34
Answer:
32 people
Step-by-step explanation:
If 3/4 equals 24, we need to find the other fourth. We can divided the total number of people by the numerator. 24/8, then add 8, which equals 32.
Answer:
84 degrees
30 degrees
66 degrees
Step-by-step explanation:
14 + 5 + 11 = 30
180/30 = 6
14 × 6 = 84 degrees
5 × 6 = 30 degrees
11 × 6 = 66 degrees
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Due to the fact that the question states there is a 65% chance the bus will be full, that is a very high probability. Therefore, there is only a 35% chance it wont be full. Or you can say it in fractional form: 65/100 chance of it being full, and a 35/100 chance of it being less than full.<span />