Lines a and b are parallel, and lines c and d are parallel
Answer:
3.5 is the correct answer
Answer:
1. c
2. b
3. c
4. a
5. b
6. c
7. c
Step-by-step explanation:
1. to check the congrency normally distance formula is used. if the distances/ length are equal we say that sides are congurent.
2. if the slope of two lines are equal then both the lines are parallel. if the product of the slopes of two lines equal to one then lines will be perpendicular.
3. diagonals bisect or not can be checked by using midpoint formula.
4. equilateral triangle if the distance of each side is equal so, distance formula can be used.
Answer:
0 solutions / no solutions
Step-by-step explanation:
If two lines have the same slope but different y-intercepts, it means that they are parallel.
For example, we have two lines:
y = x
y = x + 1
Both lines have the same slope of 1, but different y - intercepts. Because each equation increases the x and y at the same right (slope) but started at different points, the two equations will never touch.
It's similar to two runner who run at the same pace. If one runner started 50 meters ahead, that runner will always be ahead 50 meters (y-intercept) because they both run at the same rate.
Answer:
Jogging 6th time.
Step-by-step explanation:
We have been given that Vicki started jogging the first time she ran she ran 3/16 mile the second time she ran 3/8 mile and the third time she ran 9/16 mile.
We can see that the distance Vicki covers each time forms a arithmetic sequence, where 1st term is 3/16.
We know that an arithmetic sequence is in form 
, where,
= nth term of sequence,
= 1st term of sequence,
n = Number of terms in sequence,
d = Common difference.
Let us find common difference of our given sequence as:
Since Vicki needs to cover more than 1 mile, so we nth term of sequence should be greater than 1.
Let us solve for n.
We can also write next terms of our sequence as:
Therefore, Vicki will run more than 1 mile when she is jogging for 6th time.
