PLEASE HELPFind the length of the missing sides. Round your answers to the nearest tenth. (Hint: Always make sure to label your triangle first with your reference angle)

(9.37, 17.7) ; (14.10, 19.42); (20.8, 22.3)

Step-by-step explanation:

For the first picture :

The missing angle :

180 - (32 + 90)

180 - (122) = 58°

To obtain the length of side x:

From ptthagoras:

Tan58° = opposite / Adjacent

1.6003345 = 15 / x

x = 15 / 1.6003345

= 9.37

y = sqrt(15^2 + 9.37^2)

y = sqrt(312.7969)

y = 17.7m

2)

Missing angle :

From ptthagoras :

Sin54° = opposite / hypotenus

0.8090169 = y/ 24

y = 0.8090169 * 24

y = 19.42

x = sqrt(24^2 - 19.42^2)

x = sqrt(198.8636)

x = 14.10

3)

Sin21° = opposite / hypotenus

0.3583679 = 8 /y

y = 8 / 0.3583679

y = 22.3

x = sqrt(22.3^2 - 8^2)

x = sqrt(433.29)

x = 20.8

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note: the best i know.

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9