Anne has 8 unmarked computer disks in a box, where each is dedicated to exactly one of English, Spanish, Mathematics, compute
1 answer:
Answer:
The correct answer is 0.125.
Step-by-step explanation:
Anne has 8 unmarked computer disks in a box, namely one of English, Spanish, Mathematics, computer science, biology, SAT preparation, college applications, and American history.
Let the experiment be to pick up the SAT preparation disk from this set of 8 disk
Possible outcome is only one as there is only one SAT preparation disk.
Total number of outcomes, i.e. total number of disks available is 8.
Probability of picking of SAT preparation disk is
Probability = =
.
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From the information in the diagram found in a similar question online (please see attached drawing), the parallel lines are;
- w||z
- x||y
- x||y
- w||z
- w||z
- x||y
- x||y
- w||z
- x||y
- w||z
Parallel lines are lines that do not meet, when extended indefinitely.
The possible information given as obtained from a similar question posted online are;
1. ‹1 is congruent to ‹5
2. ‹7 is congruent to ‹9
3. m‹8 + m‹9 = 180°
4. ‹16 is congruent to ‹14
5. m‹1 + m‹4 = 180°
6. ‹3 is congruent to ‹13
7. ‹2 is congruent to ‹10
8. ‹11 is congruent to ‹15
9. m‹4 + m‹13 = 180°
10. ‹8 is congruent to ‹6
1. Given that ‹1 is congruent to ‹5 where ‹1 and ‹5 are alternate exterior angles, we have that line <em>w </em>is parallel to line <em>z </em>
- w||z
Theorem (converse); Alternate exterior angles formed by two parallel lines having a common transversal are congruent.
2. ‹7 and ‹9 are alternate interior angles.
Given that ‹7 is congruent to ‹9, therefore;
Line <em>x</em> is parallel to line <em>y</em>
- x||y
Theorem (converse); Alternate interior angles formed by two parallel lines having a common transversal are congruent.
3. Given that m‹8 + m‹9 = 180°, therefore;
‹8 and ‹9 are supplementary angles, formed between lines <em>x </em>and <em>y</em>.
‹8 and ‹9 are also consecutive interior angles.
Theorem (converse); Consecutive interior angles formed between parallel lines are supplementary.
Therefore;
- x||y
4. ‹16 and ‹14 are corresponding angles formed by lines <em>w </em>and <em>z</em>.
Theorem (converse); Corresponding angles formed by parallel lines are congruent.
Given ‹16 congruent to ‹14, we have;
- w||z
5. m‹1 and m‹4 are consecutive exterior angles formed by lines <em>w </em>and <em>z</em>.
Theorem (converse); Consecutive exterior angles formed by two parallel lines are supplementary.
Given that m‹1 + m‹4 = 180°, we have;
- w||z
6. ‹3 and ‹13 are alternate exterior angles formed by lines <em>x </em>and <em>y</em>.
Theorem (converse); Alternate exterior angles formed by parallel lines are congruent.
Given that ‹3 congruent to ‹13, we have;
- x||y
7. ‹2 and ‹10 are corresponding angles formed by lines <em>x </em>and <em>y</em>
Given that ‹2 congruent to ‹10, therefore;
- x||y
8. ‹11 and ‹15 are alternate interior angles formed by lines <em>w </em>and <em>z</em>.
‹11 is congruent to ‹15, therefore;
- w||z
9. ‹4 and ‹13 are consecutive exterior angles formed by lines <em>x </em>and <em>y</em>
m‹4 + m‹13 = 180°, therefore;
- x||y
10. ‹8 and ‹6 are corresponding angles formed by lines <em>w </em>and <em>z</em>.
‹8 is congruent to ‹6, therefore;
- w||z
Learn more about angles formed by parallel lines that have a common transversal here:
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