A number has exactly eight factors. Two of the factors are 10 and 14 . what is the number, and what are all of the factors?
1 answer:
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Answer:
5
Step-by-step explanation:
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