R and T are points on straight line PQ on which PR = RT =TQ. what percent of PT is PQ ?
Looks like PQ is divided into thirds. What does that tell you?
Well, if PR = RT = TQ, then that means R and T are equidistant from P and Q. So, R and T must be the midpoint of PQ.
In other words, PQ is divided into three equal parts: PR, RT, and TQ.
If we consider PT as the whole line, then PQ would represent 2/3 or approximately 66.67% of PT.
So, the answer is that PQ is approximately 66.67% of PT, which means it is 2/3 or two-thirds of PT.
But hey, don't worry, PT won't take this divide personally!
To find the percentage of PT that is PQ, we need to determine the lengths of PT and PQ relative to each other.
Given that PR = RT = TQ, we can divide line PQ into three equal sections:
P--R--T--Q
Since RT is equal in length to PT, we can see that PT takes up two-thirds (2/3) of PQ, while PQ takes up the full length of PQ.
To find the percentage, we can convert the fraction 2/3 to a percentage:
(2/3) * 100 = 66.67%
Therefore, 66.67% of PT is PQ.
To find the percentage of PT that PQ represents, we need to calculate the length of PT and PQ first.
Given that PR = RT = TQ, we can infer that the line segment PQ is divided into three equal parts.
Let's represent the length of PQ as 'x'. Therefore, PR = RT = TQ = x/3.
Now, we need to find the length of PT. Since PT is the sum of PR and RT, we can say that PT = x/3 + x/3 = 2x/3.
The next step is to determine what percentage of PT is PQ. To do this, we can use the following formula:
Percentage = (PQ / PT) * 100
Substituting the values we have:
Percentage = (x / (2x/3)) * 100
Simplifying further:
Percentage = (3x/2x) * 100
Percentage = (3/2) * 100
Percentage = 150%
Therefore, PQ represents 150% of PT.