Answer:
Part 1)
![10\°\ C=50\°\ F](https://img.qammunity.org/2020/formulas/mathematics/middle-school/aw479meu3eaqsigf9poads0y1t90urkjzk.png)
Part 2)
![87\°\ F=30.6\°\ C](https://img.qammunity.org/2020/formulas/mathematics/middle-school/gga88r52cjhd678zqzflxovxb4v2ka646o.png)
Part 3)
![-5\°\ C=23\°\ F](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xu8crbtkujbzjf42ks0s6s3xqfoygg5khu.png)
Part 4)
![10\°\ F=-12.2\°\ C](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9ld05nem3jdgfrgmn7hpdu57fx150fisss.png)
Explanation:
we know that
The formula to convert degrees Celsius to degrees Fahrenheit is equal to
![F=((9)/(5)C)+32](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ew1khzrcb6bt2l6wm2fugcg9f6awrny0bf.png)
The formula to convert degrees Fahrenheit to degrees Celsius is equal to
![C=(F-32)(5)/(9)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/n27uthi59ejlg899uwythmv9x5dpgpk3ms.png)
Part 1) we have
10 degrees Celsius
Convert to degrees Fahrenheit
![F=((9)/(5)10)+32](https://img.qammunity.org/2020/formulas/mathematics/middle-school/99uwnjh4drtl3tnxk0hk1loqnkqwp6wgd2.png)
![F=50\°](https://img.qammunity.org/2020/formulas/mathematics/middle-school/l3w7c1an0rue9s20i831yq05sv64smuyyb.png)
Part 2) we have
87 degrees Fahrenheit
Convert to degrees Celsius
![C=(87-32)(5)/(9)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xexna5dieoeav6pgox5o1nauha2uuiwl16.png)
![C=30.6\°](https://img.qammunity.org/2020/formulas/mathematics/middle-school/91nadzfea0a5hu6aeg4rja8dsn04mktw0h.png)
Part 3) we have
-5 degrees Celsius
Convert to degrees Fahrenheit
![F=((9)/(5)(-5))+32](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tq7grejed90m6mviwdiswxjgrufllrq1p8.png)
![F=23\°](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9e8l3ewapux3ip4ot94o7pqsps5ecu0wth.png)
Part 4) we have
10 degrees Fahrenheit
Convert to degrees Celsius
![C=(10-32)(5)/(9)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/lz8wfzj4ac0cmbmmee3rer4vo2pvubnnqm.png)
![C=-12.2\°](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qh0tothpv7p5v9extwqgbe1i00308yjpto.png)