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The proportion of sophomores that do not own a car is equal to 0.93.
<h3>What is ratio?</h3>Ratio is a mathematical expression that is used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.
The proportion of sophomores that do not own a car is given by:
- Number of sophomores that do not own a car = 398.
- Total number of sophomores = 427
Therefore, proportion = 398/427 = 0.93.
The proportion of all students who are seniors who own cars is given by:
- Number of seniors who own cars = 123
- Total number of students = 1192
Therefore, proportion = 123/1192 = 0.10.
The proportion of non-car owners who are juniors is given by:
- Number of juniors who are non-car owners = 339
- Total number of students that do not own a car = 976.
Therefore, proportion = 339/976 = 0.35.
Read more on ratio here: brainly.com/question/13513438
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<u>Complete Question:</u>
At Central High School, there are 398 sophomores who do not own a car and 29 who do. There are 64 juniors who own a car and 339 who do not. There are 123 seniors who own a car, compared to 239 who do not. The above is a two-way table depicting this situation. Complete the following statements below by finding the ratio, then converting to a decimal. Round to the nearest hundredth.
The proportion of sophomores that do not own a car is?
The proportion of all students who are seniors who own cars is?
The proportion of non-car owners who are juniors is?
Answer:
The correct option is;
D. When two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent
Step-by-step explanation:
In the proof to show that the sum of the angles in a triangle = 180°, we have;
For a triangle located between two parallel lines, such that the base of the triangle coincides with one of the parallel lines, we have;
The angle formed by one of the base angles and the adjacent side of the extension = 180° by the sum of angles on a straight line
From the attached diagram of a triangle between two parallel lines, we have;
∠e + ∠b = 180° by the sum of angles on a straight line postulate
∠e = ∠a + ∠d by alternate interior angles postulate
∠c = ∠d by alternate interior angles postulate
∴ ∠e = ∠a + ∠c by substitution property
∴ ∠e + ∠b = ∠a + ∠c + ∠b = 180° by substitution property
Therefore, the sum of the interior angles of a triangle, ∠a + ∠c + ∠b = 180°.
