Circle C has intersecting chords AB and DE as shown.
1 answer:
Answer:
x = 30
Step-by-step explanation:
The measure of the chord- chord angle is one half the the sum of the arcs intercepted by the angle and its vertical angle, that is
A
(2x + 10 + x + 20) = 60
B
Multiply both sides by 2 to clear the fraction
2x + 10 + x + 20 = 120, that is
3x + 30 = 120 ( subtract 30 from both sides )
3x = 90 ( divide both sides by 3 )
x = 30
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Using the probability concept, it is found that there is a
a) 0.2 = 20% probability that 3 is obtained.
b) 0.3333 = 33.33% probability that 6 is obtained.
c) 0.6667 = 66.67% probability of a number greater than 3.
d) 0.6667 = 66.67% probability of an even number.
A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
Item a:
There are 5 numbers greater than 1, one of which is 3, hence:
0.2 = 20% probability that 3 is obtained.
Item b:
There are 3 numbers greater than 3, one of which is 6, hence:
0.3333 = 33.33% probability that 6 is obtained.
Item c:
There are 3 even numbers, two of which are greater than 3, hence:
0.6667 = 66.67% probability of a number greater than 3.
Item d:
There are 3 numbers greater than 3, two of which are even, hence:
0.6667 = 66.67% probability of an even number.
A similar problem is given at brainly.com/question/25667645