<h3>
Answer: B) 43, 133, 89</h3>
===========================================================
Explanation:
For this answer choice, we have p = 43, q = 133, and r = 89. Note how p+r = 43+89 = 132, which is <u>not</u> larger than the third remaining side q = 133. Therefore, p+r > q is false and a triangle cannot be formed.
A triangle is only possible if and only if adding any two sides leads to a sum larger than the third side (triangle inequality theorem).
Put another way, we must have these three conditions hold true for a triangle to form:
If any of those three are false, then we cannot make a triangle with side lengths p,q,r
-----------------
Let's go over choice C for an example in which we can form a triangle
p = 5, q = 6, r = 7
We can see that,
- p+q = 5+6 = 11 which is greater than r = 7. So p+q > r is true.
- p+r = 5+7 = 12 which is greater than q = 6. So p+r > q is true.
- q+r = 6+7 = 13 which is greater than p = 5. So q+r > p is true.
All three conditions are true, and therefore we have a triangle that is possible with side lengths p = 5, q = 6, r = 7. I recommend cutting out slips of paper with these lengths to try it out yourself, so you have a real world example to play with. Choices A and D are a similar story to choice C, so we can rule out all three of these choices.
Cos60 = BC / AB
Cos60 = a/12
answer is D. last one
Cos60 = a/12
Given:
Admission to the local movie theater is $3 for each child and $7 for each adult.
A group of 12 people pay $64 admission.
To find:
The number of children in a group.
Solution:
Let the number of children be x and number of adults be y.
According to the question,
Total persons : 
...(i)
Total cost : 
...(ii)
Multiply equation (i) by 7 and subtract the result from (ii).
Divide both sides by -4.
Therefore, the number of children is 5.
<h2>YOUR ANSWER IS IN THE ATTACHMENT PLZZ REFER TO THE ATTACHMENT </h2><h2>MARK ME BRAINLIEST AND FOLLOW ME </h2>
