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What is the measure of angle x Enter your answer in the box
1 answer:
x = 83°
Solution:
The reference image to the answer is given below.
Sum of the adjacent angles in a straight line = 180°
⇒ ∠1 + ∠2 + ∠3 = 180° (Refer image)
⇒ 56° + ∠2 + 41° = 180°
⇒ 56° + 41° + ∠2 = 180°
⇒ 97° + ∠2 = 180°
⇒ ∠2 = 180° – 97°
⇒ ∠2 = 83°
In the given image ∠5 and ∠2 are vertically opposite angles.
<u>Vertical angle theorem:</u>
Vertically opposite angles are equal.
⇒ ∠5 = ∠2
⇒ x = ∠2
⇒ x = 83°
Hence the measure of angle x is 83°.
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Answer:
a) The probability that all five are brand A is 0.0288
b) The probability that exactly two bottles are brand A is 0.0288
c) The probability that none of the bottles is brand A is 0.0048
Step-by-step explanation:
We have 9 bottles of brand A and 7 bottles of brand B.
The total of bottles is 16.
a) The probability that all five bottles are brand A is given by:
b) Since we have 9 bottles of brand A we calculate the probability of picking two brand A bottles and the we calculate the probability of picking 3 brand B bottles:
c) The probability that none of the bottles is brand A is the same as picking 5 brand B bottles: