ABCD is a cyclic quadrilateral. BC is produced so that AB=CE. if BD is the bisector of angle abc, prove that DBE is isosceles triangle ​

In a two-digit number the units' digit is 7 more than the tens' digit. the number with digits reversed is three times as large as the sum of the original number and the two digits. find the number.

The price of a dozen eggs was $1.63. suppose the price increases m dollars per dozen and then the price decreases $0.12 per dozen. which expression represents the current price of eggs after the two price changes?

What is the cube root of -1,000p^12q3? -10p^4 -10p^4q 10p^4 10p^4q