The longest side in the given ΔABC is AB And, The angle opposite to the longest side is largest ∠C is the largest angle. in the ΔABC find the measure of ∠C Now, Using law of cosine in the given ΔABC : 16² = 9² + 12² - 2 × 9 × 12·cos C 216·cos C = 81 + 144 - 256 216·cos C = -31 cos C = -0.14352 m∠C ≈ 98°

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional

5

step-by-step explanation:

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol