Step 1
<u>Find the value of TS</u>
we know that
if PQ is parallel to RS. then triangles TRS and TPQ are similar
so

solve for TS

we have


substitute

Step 2
<u>Find the value of SQ</u>
we know that

we have


substitute

therefore
<u>the answer is</u>
the value of SQ is 
Answer:
The traveler can plan such a tour in 3003 ways.
Step-by-step explanation:
The order that the cities are chosen is not important, since it is chosen by the company and not by the traveler. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

In this problem, we have that:
Combinations of 5 cities from a set of 15. So

The traveler can plan such a tour in 3003 ways.
It's simple. First, multiply 3/4 by 5. As a decimal, this equals 3.75. Therefore, the number of miles marine bikes on Tuesday is between 3 and 4.
Hope I helped! :)
(k-7) would be the equation
Answer:
x=8
Step-by-step explanation:
First multiply 30 and 16 to find out how many ounces are in the 30 lb. bag of dog food.
30 x 16=480
Since the 3 dogs eat 20 ounces of food, we can make a equation.
3(20x)=480
20 x 3=60
60x=480
x=8
<u>Final answer</u>
8 days