A jar contains n nickels and d dimes. There is a total of 179 coins in the jar. The value of the coins is $12.60. How many nickels and how many dimes are in the jar

the jar contains 73 dimes and 106 nickels.

Step-by-step explanation:

The worth of a dime is 10 cents. Converting to dollars, it becomes

10/100 = $0.1

The worth of a nickel is 5 cents. Converting to dollars, it becomes

5/100 = $0.05

Let d represent the number of dimes in the jar.

Let n represent the number of nickels in the jar.

There is a total of 179 coins in the jar. This means that

d + n = 179

The value of the coins is $12.60. This means that

0.1d + 0.05n = 12.6 - - - - - - - - - - - 1

Substituting d = 179 - n into equation 1, it becomes

0.1(179 - n) + 0.05n = 12.6

17.9 - 0.1n + 0.05n = 12.6

- 0.1n + 0.05n = 12.6 - 17.9

- 0.05n = - 5.3

n = - 5.3/-0.05

n = 106

d = 179 - 106

d = 73

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°

read more on -