AC←→ is tangent to the circle with center at B. The measure of ∠ACB is 24°.

What is the measure of ∠ABC?

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m∠ABC =
°

Circle B with a tangent, a chord, and a line segment. Point A is at 12 o clock on the circle. Point C is at 2 o clock outside of the circle. Chord A B and segment B C meet at point B in the center. Tangent A C passes through point C.

Use composition to determine if (x) or h(x) is the inverse of f(x) for the limited domain x2-1.

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.

What is the slope of the line shown below?