A rectangle has length x + 5 and width 2x. An isosceles triangle has two sides that are 2x + 1 and one side that is 3x. The perimeter of both shapes is the same. Determine the width of the rectangle. (7 marks)

When is g(x) = 0 for the function g(x) = 5.23x + 4?

Grace is standing 18 feet from a lighthouse and kelly is standing 10 feet from grace. the angle that grace looks up to see the top of the lighthouse is 45°. the angle that kelly looks up to see the top of the lighthouse is y°. find the height, h, of the lighthouse. find the angle, rounded to the nearest tenth of a degree, in which kelly looks up to the top of the lighthouse. to the nearest tenth of a degree, find the value of x° . in two or more sentences, explain your calculations

Given: δabc, m∠1=m∠2, d∈ ac bd = dc m∠bdc = 100º find: m∠a m∠b, m∠c