The position of a sprinter at the starting blocks is shown in the diagram. given that angle 1 and angle 4 are right angles, which statement can be proved?
(picture included.)
a. < 3 is congruent to < 5
b. m< 1 + m< 4 = 90 degrees
c. m< 3 + m< 5 =180 degrees
d. < 1 is congruent to < 4

Find the distance between (0,5) & (-4,2)

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a.what is the independent and dependent variables? b.find the amplitude and the period of the function. c.create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.

Sketch the region enclosed by the given curves. decide whether to integrate with respect to x or y. draw a typical approximating rectangle and label its height and width. y= 5x, y=7x^2then find the area s of the region.