Step-by-step explanation:
know the normal large sample condition is not met and also there are outliers
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°.
Answer:
the answer for 3(-7-6)/-16+3 is 3
Answer is 3/5
The equation for finding the angle in a right-angled triangle using cos is:
cos^1(adjacent/hypotenuse) = cos angle
On the triangle:
Adjacent side: 6
Hypotenuse: 10
Using the equation to find cos:
6/10 would simplify to 3/5, so 3/5 is the answer.
Find total number of sodas: 6 + 8 + 6 = 20
There are 6 lemon lime sodas. The probability of picking lemon lime would be 6/20, this reduces to 3/10.
After picking lemon lime there would be 19 sodas left. 6 are orange. The probability of picking orange would be 6/19
To find the probability of picking both, multiply the probability of each by each other:
3/10 x 6/19 = (3 x 6) / (10 x 19) = 18/190 which reduces to 9/95
The answer is 9/95
