Applying the triangle proportionality theorem, the missing segment length is: 3.
<h3>What is the Triangle Proportionality Theorem?</h3>
The triangle proportionality theorem states that if a line that is parallel to a third side intersects the other two sides of a triangle, it divides them proportionally.
Let x represent the given segment length. Using the triangle proportionality theorem, we would have:
(12 - 2)/2 = 15/x
10/2 = 15/x
5 = 15/x
5x = 15
x = 15/5
x = 3
The missing segment length is: 3.
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A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
Answer: Jon has the best rate
Step-by-step explanation:
I believe the answer would be always. Hope this helps
