Christian has a collection of 18 shark teeth. He identified them as 6 tiger shark teeth, 8 sand shark teeth, and the rest as bull shark teeth. What does the ratio 6 : 8 represent in this situation?

6:8 compares the number of tiger shark teeth to sand shark teeth.

Step-by-step explanation:

Ratios, in mathematics, is a way to compare two or more numbers in relation to their sizes. According to the question, Christian collected 18 different shark teeth. He found out that the tiger shark teeth were 6, sand shark teeth were 8, hence the remaining 4 shark teeth would be for bull shark.

In order to compare the number/size of the different shark teeth to one another, we use ratios. Hence, if we say 6:8, it means that the proportion of the tiger shark teeth to the sand shark teeth is 6 to 8. This also means that the tiger shark teeth is 6/8 of the sand shark teeth.

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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