What is the slope of a line that is parallel to the x-axis? a. 0 b. 1 c. undefined
1 answer:
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Answer:
Step-by-step explanation:
The perimeter of a polygon is equal to the sum of all the sides of the polygon. Quadrilateral PTOS consists of sides TP, SP, TO, and SO.
Since TO and SO are both radii of the circle, they must be equal. Thus, since TO is given as 10 cm, SO will also be 10 cm.
To find TP and SP, we can use the Pythagorean Theorem. Since they are tangents, they intersect the circle at a , creating right triangles
and
.
The Pythagorean Theorem states that the following is true for any right triangle:
, where
is the hypotenuse, or the longest side, of the triangle
Thus, we have:
Since both TP and SP are tangents of the circle and extend to the same point P, they will be equal.
What we know:
Thus, the perimeter of the quadrilateral PTOS is equal to
Answer:
or
Step-by-step explanation:
The expression can be simplified by first writing the fraction under one single radical instead of two.
5/15 simplifies because both share the same factor 5.
It becomes
This can simplify further by breaking apart the radical.
A radical cannot be left in the denominator, so rationalize it by multiplying by √3 to numerator and denominator.