I just took the test. The correct answer is:
Lena found a 5/8
2 answers:
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Answer:
4
Step-by-step explanation:
Given that At the pet owner’s meeting, there are 20 people who own dog, and 35people who own cat and 9 people own goldfish. Some people own both catand dog and some people own both gold fish and cat. No dog owners owngoldfish. There are twice as many people who own both goldfish and catthan people who own both dog and cat.
Total no of people =52
The venn diagram attached gives a clear picture
assuming x to be owners of both dog and cat. Then 2x is for both goldfish and cats.
Totalling all mutually exclusive we get
64-3x=52
x=4
No of owners who own both cat and dog =4
Format of my answer:
[Problem letter] Parallel Lines
- Converse / Reason
!! I am not sure which / what converses you are using, but I gave the reasoning for it. If you see something similar, use the converses you know !!
[a] j & k
- If two lines intersected by a transversal form congruent alternate interior angles, then the lines are parallel
[b] m & n
- If angles are supplementary in this placement, the lines are parallel
[c] l & n
- If angles are equal when they are corresponding, the lines are parallel
[d] l & m
- If two angles that are congruent are vertical, the lines are parallel
[e] j & k
- If two lines intersected by a transversal form congruent corresponding angles, then the lines are parallel
[f] l & n
- If angles are supplementary in this placement, the lines are parallel
[g] l & n
- If two angles that are congruent are vertical, the lines are parallel
[h] -------
[i] l & n
- If two angles that are congruent are vertical, the lines are parallel
[j] -------
[k] -------
[l] j & k
- If two lines intersected by a transversal form congruent corresponding angles, then the lines are parallel
[m] -------
[n] j & k
- If angles are supplementary in this placement, the lines are parallel
[o] -------
-> See attached for more information
Have a nice day! - hopefully these are mostly correct, been awhile since I've done this
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
