Solve 6x^2+125=x^2 using square roots.

In a recent basketball game between the storm and the chargers, the number of points scored by the storm in the first half was equal to the number of points scored by the chargers in the second half of the game. in the first half, the storm scored 64 points, which is one - third of the total points that were scored during the game. during the second half, the chargers scored 16 points more than one - fourth the points scored in the game. you want to know how many total points that were scored during the game. 1. write an equation that models this situation. then, solve the equation. 2. how many total points were scored during the game? explain your reasoning. 3. does your answer make sense? justify your reasoning.

Aman is 6 feet 3 inches tall. the top of his shadow touches a fire hydrant that is 13 feet 6 inches away. what is the angle of elevation from the base of the fire hydrant to the top of the man's head?

Rhombus adef is inscribed into a triangle abc so that they share angle a and the vertex e lies on the side bc . what is the length of the side of the rhombus if ab=c, and ac=b.