Answer:
x = 35°
Step-by-step explanation:
These are corresponding angles. When a transversal crosses 2 parallel lines, 4 angles are created at each intersection, and each pair of corresponding angles between those are congruent.
These angles are congruent, so you can set them equal to each other:

Then, just solve for x:

You can check that by plugging it back into both:

Answer:
15
Step-by-step explanation:
7x3=21
21-6=15
the word times means to multiply a number the said amount of times for example
cat has 5 sticks. Roger has 2 times as many sticks as cat. the equation is 5 × 2 that would equal 10. :)
The probability the sample mean is more than 10 words for a random sample of 39 messages is 2.12%
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
The z score is given by:
z = (raw score - mean) / (standard deviation / √sample size)
Given mean of 8.6 words and a standard deviation of 4.3 words. If a random sample of 39 messages, hence, for x > 10:
z = (10 - 8.6) / (4.3 / √39) = 2.03
P(x > 10) = P(z > 2.03) = 1 - P(z < 2.03) = 1 - 0.9788 = 0.0212
The probability the sample mean is more than 10 words for a random sample of 39 messages is 2.12%
Find out more on equation at: brainly.com/question/2972832
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Answer:
P(t) = 14300e^0.07t
Step-by-step explanation:
Let :
Population as a function of years, t = P(t) ;
Growth rate, r = 7%
Estimated population on year 2000 = Initial population = 14300
The given scenario can be modeled using an exponential function as the change in population is based in a certain percentage increase per period.
P(t) = Initial population*e^rt
P(t) = 14300*e^(0.07t)
P(t) = 14300e^0.07t
Where, t = number of years after year 2000.