A pair of similar triangles has angle measures of 50LaTeX: ^\circ∘, 85LaTeX: ^\circ∘, and 45LaTeX: ^\circ∘. The sides of one triangle measure 3, 4 and 5.2 units, and the sides of the second triangle measure x, x - 1.5, and x + 1.8 units. Find the value of x.

Which of these tools or constructions is used to inscribe a hexagon inside a circle?

You are standing next to a really big circular lake. you want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! you decide to walk around the perimeter of the lake and measure its circumference, and find that it's 400\pi\text{ m}400? m. what is the diameter dd of the lake?

What ia the sum if the first 7 terms of the geometric series