Point P is the incenter of ΔRST. Point P is the incenter of triangle R S T. Lines are drawn from each point of the triangle to point P. Lines are drawn from point P to the sides of the triangle to form right angles and line segments P A, P B, and P C. The triangle has different angle measures. Which must be true? Line segment C P is-congruent-to line segment R P Line segment B P is-congruent-to line segment P C AnglePSC Is-congruent-to AnglePTC AngleBPS Is-congruent-to AngleAPT

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Find the maximum value of p= 4x + 5y subject to the following constraints :

Astudent must have an average on five test that is greater than it equal to 80% but less than 90% to receive a final grade of b. devon's greades on the first four test were 78% 62% 91% and 80% what range if grades on the fifth test would give him a b in the course? ( assuming the highest grade is 100%)