In ΔRST, \overline{RT} RT is extended through point T to point U, \text{m}\angle RST = (3x+17)^{\circ}m∠RST=(3x+17) ∘ , \text{m}\angle STU = (8x+1)^{\circ}m∠STU=(8x+1) ∘ , and \text{m}\angle TRS = (3x+18)^{\circ}m∠TRS=(3x+18) ∘ . What is the value of x?x?

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

c

step-by-step explanation: