50 points! I need help with transversals please help

For the yellow one with 14 angles:

1.94

2.86

3.94

4.86

5.86

6.94

7.86

8.73

9.107

10.73

11.73

12.107

13.107

14.73

Step-by-step explanation:

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.