Converse Perpendicular Transversal Theorem.
If two lines are perpendicular to the same line, then the lines are parallel.
Answer: Choice C) {6, 9, 12}
=======================================================
Explanation:
Something like choice A can't form a triangle because the first two sides add to 6+9 = 15, which is <u>not</u> longer than the third side 15. We need to have x+y > z to be true. The same goes for choice B as well because 3+3 = 6 is too small compared to the third side 7. Choice D is similar to choice A.
In short, we can rule out choices A, B, and D.
The only thing left is choice C. Picking any two sides leads to having that sum be larger than the third side
- 6+9 = 15 which is larger than 12
- 9+15 = 24 which is larger than 6
- 6+15 = 21 which is larger than 9
So the conditions of the triangle inequality theorem work out here, and we have a triangle.
Answer:
Step-by-step explanation:
The given expression is 
We apply the distributive property to expand the parenthesis
Regroup similar terms to get:
Combine the similar terms to obtain:
The correct option is C.
Answer:
3
Step-by-step explanation:
23=5x-4
Add 4 to both sides
27=9x
Divide 9 To both sides
27/9 9x/9
x=3
Answer:
Step-by-step explanation:
The equation of the straight line passing through the points (0,-7) and (3,-5) will be 
⇒ 
⇒
......... (1).
Now, the inequality shades the upper portion of the straight line.
Therefore, the y value for the inequality will be more than y value for the equation corresponding to a fixed value of x.
Hence, the inequality equation will be . (Answer)
