Rohan is checking in poodles for a dog show. a miniature poodle must be between 10 in. and 15 in. at the shoulder. the body length must be no more than 16 in. in addition, the poodle’s shoulder height must be no more than 1 in. longer than its body length. the graph shows the feasible region, where x represents the poodle’s body length and y represents the shoulder height. which ordered pairs meet all the constraints for a successful poodle measurement and make sense in context of the situation? select each correct answer. (11, 14) (10, 12) (12, 10.5) (15, 11) (11, 9)

Let

x-------> represents the poodle’s body length

y-------> represents the shoulder height

Constraints

--------> constraint A

--------> constraint B

--------> constraint C  

Using a graphing tool

see the attached figure

The solution is the shaded area

we know that

If a pair ordered is a solution for a successful poodle measurement

then

the pair ordered meet all the constraints

Let's check each case to determine the solution to the problem

Replace the values of x and y of the point in the different constraints. If all constraints are met, then the point is a system solution

Case A)  

constraint A

------> is true

constraint B

--------> is true

constraint C

-------> is not true

therefore

the pair   does not meet all constraints

Case B)  

constraint A

------> is true

constraint B

--------> is true

constraint C

-------> is not true

therefore

the pair    does not meet all constraints

Case C)  

constraint A

------> is true

constraint B

--------> is true

constraint C

-------> is true

therefore

the pair    meets all constraints

Case D)  

constraint A

------> is true

constraint B

--------> is true

constraint C

-------> is true

therefore

the pair meets all constraints

Case E)  

constraint A

------> is not true

constraint B

--------> is true

constraint C

-------> is true

therefore

the pair      does not meet all constraints

therefore

the answer is

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed

answer: no

step-by-step explanation: because the big angle will spread away the 2 side that it is on and make the opposite side even longer.