Based on the information given regarding the angle of elevation and depression, the true statements are A, C, and D.
<h3>How to solve the angle of elevation and depression.</h3>
From the complete information, the first angle has legs 529m and 229m.
The second one has legs 529m and 347m. Therefore tan x will be = 529/229 = 2.31
Tan y will be = 529/347 = 1.52
It can be noted that tan x > tan y. There are two parallel lines given and angle x, v, y, and w are alternate angles.
Therefore, the correct options are A, C , and D.
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Explanation:
According to a study conducted by an organization, the proportion of Americans who were afraid to fly in 2006 was 0.10. A random sample of 1,100 Americans results in 121 indicating that they are afraid to fly. Explain why this is not necessarily evidence that the proportion of Americans who are afraid to fly has increased Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. This is not necessarily evidence that the proportion of Americans who are afraid to fly has increased above 0.10 because the sample proportion, is very close to 0.10 (Type an integer or a decimal.) OB. This is not necessarily evidence that the proportion of Americans who are afraid to fly has increased above 0.10 because the probability of obtaining a value equal to or more extreme than the sample proportion is which is not unusual. (Round to four decimal places as needed.) OC. This is not necessarily evidence that the proportion of Americans who are afraid to fly has increased above 0.10 because the value of np(1-P) is less than 10 OD. This is not necessarily evidence that the proportion of Americans who are afraid to fly has increased above 0.10 because the sample size n is more than 5% of the population.
X = 29
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12
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x = 2 5 x = 2.416
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12
Linear equation
Example 1
Solve for x: 3 x – 7 > 20.
equation
To check the solution, first see whether x = 9 makes the equation 3 x – 7 = 20 true. Even though 9 isn't a solution, it's a critical number or dividing point and is important to finding the solution.
equation
Now, choose a number greater than 9—10, for example, and see whether that makes the original inequality true.
equation
This is a true statement. Since it is impossible to list all the numbers that are greater than 9, use “set builder” notation to show the solution set.
{ x| x > 9}
This is read as “the set of all x so that x is greater than 9.” Many times, the solutions to inequalities are graphed to illustrate the answers. The graph of { x| x > 9}is shown in Figure 1.
Figure 1. Note that 9 is not included.
figure
Example 2
Solve for x: equation.
The LCD for the denominators in this inequality is 24. Multiply both sides of the inequality by 24 as you would have had this been an equation.
equation
At this point, you can isolate x on either side of the inequality.
equation
In the final step on the left, the direction is switched because both sides are multiplied by a negative number. Both methods produce the final result that says that x is a number less than equation. The check is left to you. The solution set is expressed as
equation
The graph of this solution set is shown in Figure 2.
Figure 2. Note the hole at equation.
figure
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