A scale model of a lighthouse has a scale of 1 in. : 8 ft. The scale model is 20 inches tall. How tall is the lighthouse?

Prove that the sum of two consecutive exponents of the number 5 is divisible by 30.if two consecutive exponents are 5n and 5n + 1, then their sum can be written as 30.

Consider that lines b and c are parallel. what is the value of x? what is the measure of the smaller angle?

Sue's average score for three bowling games was 162. in the second game, sue scored 10 less than in the first game. in the third game, she scored 13 less than in the second game. what was her score in the first game?