Bilal’s favourite colours are red and green. He has 1 red shirt, 1 green shirt, 1 red hat, 1 green scarf, 1 red pair of pants, and 1 green pair of pants. Bilal selects one of these garments at random. Let A be the event that he selects a green garment and let B be the event that he chooses a scarf. Which of the following statements are true? (Choose all answers that apply) 1. P (A | B) = P (A), the conditional probability that Bilal selects a green garment given that he has chosen a scarf is equal to the probability that Bilal selects a green garment. 2. P (B | A) = P (B), the conditional probability that Bilal selects a scarf given that he has chosen a green garment is equal to the probability that Bilal selects a scarf. 3. Events A and B are independent events. 4. The outcomes of events A and B are dependent on each other. 5. P (A and B) = P (A) · P (B), the probability that Bilal selects a garment that is green and is a scarf is equal to the probability that Bilal selects a green garment multiplied by the probability that he selects a scarf. PLEASE GIVE PROPER ANSWERS ONLY. FINAL ANSWER INCLUDES 2 OR MORE OF ANSWERS 1-5.

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step-by-step explanation:

3x + 18 = 147°

step-by-step explanation:

3x + 18 = 147°, because the value of the central angle is equal to the value of the arc formed by it.

i hope i you.

the value of x is 9 ⇒ answer b

step-by-step explanation:

* we can solve this problem using cosine and sine rule

- in δ abc

∵ ab = 36 , bc = 28 , ac = 16

- lets find the measure of angle b using the cosine rule

∵ cos b = [ab² + bc² - ac²]/2(ab)(bc)

∴ cos b = [36² + 28² - 16²]/2(36)(28)

∴ cos b = 19/21

∴ m∠b = cos^-1(19/21) ≅ 25°

- lets find the measure of angle a using the sine rule

∵ sina/bc = sinb/ac = sinc/ab

∴ sina/28 = sin25°/16 ⇒ by using cross multiplication

∴ sina = 28 × sin25°/16

∴ sina = 0.7396

∴ m∠a = sin^-1(0.7396) ≅ 48°

- from the figure m∠abd = m∠dbc

∵ m∠abc = 25°

∴ m∠abd = 25°/2 = 12.5°

- in δabd

∵ m∠a = 48° , m∠abd = 12.5°

∵ the sum of the measures of the interior angles of any δ is 180°

∴ m∠adb = 180° - (48° + 12.5°) = 119.5°

∵ ab = 36

∵ ad = x

- use the sine rule to find x

∵ sin∠adb/ab = sin∠abd/x

∴ sin119.5°/36 = sin12.5°/x ⇒ by using cross multiplication

∴ x = 36 × sin12.5°/sin119.5° = 8.95 ≅ 9

* the value of x is 9