Answer:
Corresponding Angles Theorem
x = -5
Step-by-step explanation:
Since they are corresponding angles, they are equal to each other.
x + 105 = 100
x = -5
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.
Answer:
a) -1
Step-by-step explanation:
Slope is also known as the gradient
1. assign a value to x and solve for y:
when x = 2, y = 2
when x = 4, y = 0
2. Next, use the equation of a straight line to find the gradient
y = mx + c
y is the y-coordinate, m is the gradient, x is the x-coordinate, c is the point where the line crosses the y-axis, which is found by equating y to 0 and solving for x
so y = mx + c becomes 2 = m*2 + 4, which then becomes 2 = 2m + 4
2m = -2 (take 4 away from 2)
<u>m = -1 </u>
Answer:
Its B
Step-by-step explanation:
The equation is y=x+1
Here's an explanation:
The equation starts out with y since that's what we're told to do. Since the even costs $1, then the total cost would be the total number of attendees +1. The variable for attendees is x, and since the additional cost is $1 per attendee, you don't have to multiply x with anything. So, the answer would be y=x+1. (Everything's in dollars)
