Given:
Measure of arc FJ = 84°
Measure of arc GH = 76°
To find:
The measure of angle HKJ.
Solution:
The image of the question is attached below.
Angles inside the circle theorem:
If two chords intersect inside a circle, then the measure of each angle is one half the sum of the measures of the intercepted arc and its vertical arc.




Sum of the adjacent angles in a straight line is 180°.
⇒ m∠GKH + m∠HKJ = 180°
⇒ 80° + m∠HKJ = 180°
Subtract 80° from both sides.
⇒ 80° + m∠HKJ - 80° = 180° - 80°
⇒ m∠HKJ = 100°
The measure of ∠HKJ is 100°.
The perimeter of ADC is 9.5 cm.
Answer:
b). There is little to no evidence to conclude the mean driving time for the alternative route is different from the mean driving time of the detour.
Step-by-step explanation:
The most adequate statement to examine the proposition is that 'there is lack of adequate evidence to substantiate the claim that the mean time taken for driving through the detour and the alternative route is distinct.' This will help in testing that <u>there is a lack of evidence to establish the validity or truth of the proposition that if the detour is actually shorter than the alternative route or not</u>. No data has been provided to clarify that the mean driving time in both routes traveled by Sarah was varied. Hence, <u>option b</u> is the correct answer.
How To: Given a relationship between two quantities, determine whether the relationship is a function. Identify the input values. Identify the output values. If each input value leads to only one output value, classify the relationship as a function.