D because the vertex and the direction are the same as eachother therefore the answer is D
The statement which best explains whether the student is correct is: D. the student is completely incorrect because there is "no solution" to this inequality.
<h3>What is an inequality?</h3>
An inequality refers to a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:
- Less than or equal to (≤).
- Greater than or equal to (≥).
Since |x-9| is greater than or equal (≥) to zero (0), we can logically infer that this student is completely incorrect because there is "no solution" to this inequality.
Read more on inequalities here: brainly.com/question/24372553
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<u>Complete Question:</u>
A student found the solution below for the given inequality.
|x-9|<-4
x-9>4 and x-9<-4
x>13 and x<5
Which of the following explains whether the student is correct?
A. The student is completely correct because the student correctly wrote and solved the compound inequality.
B. The student is partially correct because only one part of the compound inequality is written correctly.
C. The student is partially correct because the student should have written the statements using “or” instead of “and.”
D. The student is completely incorrect because there is “ no solution “ to this inequality.
Answer:
(0,-4)
Step-by-step explanation:
Hello! What you're seeing in these images are two parallel lines cut by a transversal. There are many relationships between angles here.
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Problem g: What you are seeing here is alternate interior angles - they are both on the inside of the lines, and are on opposite sides of the transversal. These angles are proven to always measure the same thing.
Therefore, 8x - 4 = 60. Use this equation, and solve.
8x - 4 = 60
8x = 64
x = 8
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Problem h: Here, you are seeing corresponding angles. When you look at the two intersection points, these two angles are located "between the same sides". These angles are also proven to always measure the same.
Therefore, 6x = 5x + 10. Use this equation, and solve.
6x = 5x + 10
x = 10
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Problem i: These are alternate exterior angels. These are located on opposite ends of the transversal, and are on the outside of the parallel lines. These angles also always measure the same.
Therefore, -1 + 14x = 12x + 17. Now solve.
-1 + 14x = 12x + 17
2x = 18
x = 9
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Therefore, your three answers are x = 8, x = 10, and x = 9.
Hope this helps!
