Answer:

Step-by-step explanation:
Given


Midpoint, T
Required
Determine PT
First, the value of x has to be calculated;
Since T is the midpoint, then:

This implies

Solve for x




Length PQ can then be calculated using:


Collect Like Terms


Substitute 6 for x



Answer:
146.5 sq. feet.
Step-by-step explanation:
Area of the deck = Large Square (with 15 ft side) - Circular Pool (with radius 10/2=5)
Large Square area = 
Circular Pool area = 
Thus, area of deck surrounding pool =
sq. feet
Answer:
1/2
(This is assuming all sectors are congruent)
Step-by-step explanation:
Well the other two colors that aren't red or green is blue and yellow.
There are 2 blues and 2 yellows.
There are 8 sections altogether.
We are asked to find the probability that our spinner will land on blue or yellow so we do (blue+yellow)/all = (2+2)/8=4/8=1/2.
This probability was assuming all sectors were congruent sectors.