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:
The answer is 50 degrees
Step-by-step explanation:
The small box at the corner of the triangle indicates that the triangle is exactly 90 degrees, or a right angle. In order to solve the expression, you would need to do 40 + x = 90, which would be x = 50
Answer:
Part 1) 
Part 2) 
Part 3) 
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the value of x
we know that
---> by addition segment postulate
we have

substitute

solve for x




step 2
Find the value of EF

substitute the value of x

step 3
Find the value of FG

substitute the value of x

Answer:
7m + 29
Step-by-step explanation:
You add 2m and 5m to get 7m
Then add -16 and 45 to get 29