The shorter leg of a 30°-60°-90° right triangle measures 5 in. what is the length of the longer leg?

a. 5 square root of 3 inches

b. 10 inches

c. 5 square root of 2 inches

d. 15 in

Use the distributive law to multiply. 3(4x + 5y + 6)

Each month, a shopkeeper spends 5x + 14 dollars on rent and electricity. if he spends 3x−5 dollars on rent, how much does he spend on electricity? for which value(s) of x is the amount the shopkeeper spends on electricity less than $100? explain how you found the value(s).

Show your workcan a right triangle have this sides? *how to prove it without using the pythagorean theorema*