Anna counted the number of articles in several different magazines. Number of articles Number of magazines 17 5 23 4 27 3 29 3 36 3 46 2 X is the number of articles that a randomly chosen magazine had. What is the expected value of X? Write your answer as a decimal.​

In each diagram, line p is parallel to line f, and line t intersects lines p and f. based on the diagram, what is the value of x? ( provide explanation)

A3cm×3cm\greend{3\,\text{cm} \times 3\,\text{cm}} 3cm×3cm start color greend, 3, space, c, m, times, 3, space, c, m, end color greend rectangle sits inside a circle with radius of 4cm\blued{4\,\text{cm}} 4cm start color blued, 4, space, c, m, end color blued . what is the area of the shaded region? round your final answer to the nearest hundredth.

If two lines form congruent alternate interior angles with a transversal, then the lines