Line I is parallel to line M. If the measure of 6 is 75 degrees, what is the measure of 3?
1 answer:
In the given diagram, the measure of ∠3 will be 105°.
In the given diagram, ∠3 and ∠6 are consecutive interior angles.
<h3>How to form supplementary angles by transversal?</h3>If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary.
That is,
∠3 + ∠6 = 180°
From the given information,
∠6 = 75°
Then,
∠3 + 75° = 180°
∠3 = 180° - 75°
∠3 = 105°
Hence, the measure of ∠3 will be 105°.
Learn more about the measures of angles here: brainly.com/question/2883630
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Answer:
a) X ~
b) μ = 100/3
c)
d) A battery is expected to last 100/3 months (33 months and 10 days approximately).
e) For seven batteries, i would expect them to last 700/3 months (approximately 19 years, 5 months and 10 days).
Step-by-step explanation:
a) The life of a battery is usually modeled with an exponential distribution X ~
b) The mean of X is μ = 1/0.03 = 100/3
c) The standard deviation is
d) The expected value of the bateery life is equal to its mean, hence it is 100/3 months.
e) The expected value of 7 (independent) batteries is the sum of the expected values of each one, hence it is 7*100/3 = 700/3 months.
Given that the number of tickets that are sold for $5 is (3t+2) tickets.
The number of tickets that are sold for $7 is (2t+5) tickets.
We need to determine the expression that represents the total number of tickets sold and the simplified expression.
<u>Total number of tickets sold:</u>
The expression for (3t+2) tickets sold for $5 is given by
The expression for (2t+5) tickets sold for $7 is given by
The expression for the total number of tickets sold is given by
Thus, the expression that represents the total number of tickets sold is
<u>Simplified expression:</u>
We need to simplify the expression
Hence, let us multiply the terms within the bracket.
Thus, we get;
Adding the like terms, we have,
Thus, the simplified expression is