Answer:
answer 1 b
Step-by-step explanation:
answer 2 d
Answer: Choice C) {6, 9, 12}
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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:
we have

Solve for x
Multiply in cross

Divide by 33 both sides (Division Property of Equality)


Convert to mixed number

First we need to establish the fact that angles on a straight line ALWYS add up to 180
So, we solve the equation for x which turns out to be 3
But,were not done. The question asks us to find the value of the angle BOC
so we substitute the value of x into the equation for BOC (which is 6x+29)
And then your answer is 47 degrees
Solving
we get 
Step-by-step explanation:
We need to find the value of a. We are given:

Solving:

So, Solving
we get 
Keywords: Solving Expressions
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