In the diagram, mZJ = 39.59. Find mJK.
H
K
a. MJK 101°
b. JK = 799
C.
JK = 140.5°
JK = 50.5°
d.

Answer:

a) 101°

Step-by-step explanation:

arc HK = 2(39.59°) = 79.18°

arc JH = 180°

arc JK = 360° - 180° - 79.18° = 100.82°

JK = 101°

The correct answer is option (A) 101°

"It is an angle in a circle formed by two chords that have a common end point on the circle."

For given example,

m ∠J = 39.59°

We know, the measure of an inscribed angle in a circle equals half the measure of its intercepted arc.

⇒ m(∠J) = (1/2) × arc KH

⇒ arc KH = 2 × 39.59°

⇒ arc KH = 79.18°

Also, arc HJ = 180°

We know for given figure,

⇒ arc JK + arc KH +arc HJ = 360°

⇒ arc JK + 79.18° + 180° = 360°

⇒ arc JK + 259.18° = 360°

⇒ arc JK = 100.82°

⇒ mJK ≈ 101°

Therefore,  mJK = 101°

The correct answer is option (A) 101°

Learn more about the inscribed angle here:

https://brainly.com/question/15899344

#SPJ2

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In this assignment, you may work alone, with a partner, or in a small group. Discuss the results of your work and/or any lingering questions with your teacher.
Temperature in the desert can be modeled by the function C(t), where t represents hours after midnight (0 ≤ t ≤ 24), and C is the temperature measured in degrees Celsius. Examine what happens to the graph when you transform the function to degrees Fahrenheit.
Circle the desert you picked:



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Patagonian Desert
Death Valley California(I choose this one)


Exploring Degrees Celsius
1. Fill out the following chart to find the temperatures for t = 12 (noon) and t = 24 (midnight). (2 points: 1 point for each row)
t
C(t) = –0.30(t – 12)2 + 40
0

12
C(t) = -0.30 (12 - 12)² + 40
C(t) = -0.30 (0)² + 40
C(t) = 40


24
C(t) = -0.30 (24 - 12)² + 40
C(t) = -0.30 (12)² + 40
C(t) = -0.30 × 144 + 40
C(t) = - 43.2 + 40
C(t) = -3.2






2. Plot the three points from the chart onto the graph below. Use the plotted points to sketch the graph of C(t) = –0.30(t – 12)2 + 40. (3 points: 2 points for correct coordinates, 1 point for correct shape)

Convert the Function to Degrees Fahrenheit:
3. Suppose you want to represent the desert temperature in degrees Fahrenheit instead. How would you transform the function C(t) to make the new function, F(t)? (2 points: 1 point for each transformation)
Note: The conversion rule for Celsius to Fahrenheit is .
F(t)=9/5{–0.30 (t – 12)² + 40}+32
F(t) = -0.54 (t – 12)² + 72 + 32
F(t) = -0.54 (t – 12)² + 104





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t

0

12








24









5. Use the conversion formula to write the equation for the new function, F(t).
(4 points: 2 points for setting up the equation, 2 points for the answer)
Hint: Substitute the equation for C(t) into .












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7. Compare the graph in question 6 (F(t)) with the graph in question 2 (C(t)). What changes were made to the graph of C(t) to transform it to F(t)? (1 point)

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