Answer: x=100
Step-by-step explanation:
In parallelograms the opposite angles are equal. As the bottom left angle is 80° the opposite angle (top right), is also 80°. All 4 angles in a quadrilateral must add up to 360. Because you know 2 angles added together are 160° the other two angles must equal 200°. As opposite angles are equal you know 2x=200, divide by 2 x=100
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.
Your Answer is <span>15x^3y^4z^3</span>
Answer:
a. $1.66
Step-by-step explanation:
We have been given that Health and Heart Club charges $259 per year. A person has 3 visits per week. We are asked to find the cost of per visit to Health and Heart Club.
We know that there are 52 weeks in one year. So total visits in one year would be 3 times 52 that 
visits.
Now, we will divide total cost by 156 to find cost per visit.
Rounding to nearest hundredths, we will get:
Therefore, the cost per visit is $1.66 and option 'a' is the correct choice.
