9514 1404 393
Answer:
- see below for a sketch
- 12 km
Step-by-step explanation:
The distance can be calculated using the Law of Cosines. The angle internal to the triangle at Q is (180°-(146° -65°)) = 99°. Then the distance PR can be found from ...
PR² = PQ² +QR² -2·PQ·QR·cos(∠PQR)
PR² = 6² +10² -2·6·10·cos(99°) ≈ 154.77
PR ≈ √154.77 ≈ 12.44 . . . . km
The distance PR is about 12 km.
I believe the correct answer from the choices listed above is option B. <span>The discriminant of a quadratic equation is negative. One solution is 3+4i . The other would be 3-4i. Hope this answers the question. Have a nice day.</span>
The value of y is 50
The angle measurement of angle AOB is 100°
<h3>Circle Geometry </h3>
From the question, we are to determine the value of y and the measure of angle AOB
From one the circle theorems, we have that
Angles in the <u>same segment</u> are equal
In the given diagram, x° and y° are angles in the same segment
∴ x° = y°
From the given information,
x = 50
∴ y = 50
Hence, the value of y is 50
Also, from another circle theorem,
Angle at the <u>center</u> is twice the angle at the <u>circumference</u>
∴ ∠AOB = 2x° = 2y°
Then,
∠AOB = 2×50°
∠AOB = 100°
Hence, the angle measurement of angle AOB is 100°
Learn more on Circle Geometry here: brainly.com/question/17074363
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Answer:
1 5/6
Step-by-step explanation: