Answer:
k = 11
Step-by-step explanation:
let the points be A(-2,5), B(2,8), C(6,K).
for the points to be collinear slope of line AB maust be equal to line BC.
slope of line AB = 
slope of line BC = 
therefore 
therefore k = 8 + 3
k = 11
Around the outside of a circle measures 360°. If arc ADB measures 250°, then arc AB measures 360-250 which is 110°. Because point C is the center of the circle, then angle ACB is a central angle. By definition of an arc intercepted by an angle, they are the exact same measure in degrees. So if arc AB = 110, then the measure of the angle ACB also measures 110.
Answer:
1. 7.1 cm
2. 10.9 cm
Step-by-step explanation:
1. You know the legs of a right triangle must be shorter than the hypotenuse. The only answer choice shorter than 8 cm is 7.1 cm.
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2. By the Law of Sines, ...
AB/AC = sin(ACB)/sin(B)
AB = AC·sin(72°)/sin(38°) = 1.545·AC
The approximate value of AC from problem 1 is sufficient to get you close to the answer.
AB ≈ 7.1×1.545 ≈ 10.9 . . . cm
The answer should be -7°. What I did was just subtract 7 for each day. Im pretty sure there is a faster way, but this is how I did it
