Answer:
The nth term for the given sequence can be written as:
Step-by-step explanation:
Notice that this arithmetic sequence is created by adding to each term a common difference of 6 units:
7 + 6 = 13
13 + 6 = 19
19 + 6 = 25
Then, using the general expression for the nth term of an arithmetic sequence of first term "" and common difference "<em>d</em>" we can write the nth term as:
which in this case translates as:
Y=1x-8
Slope intercept form: y=mx+b
Slope of the line: 1/1 (rise/run) or 1
Y-intercept: -8
STEP 1:
find the difference between the total miles of the trip (762 miles) and the miles already traveled (510 miles)
= 762 - 510
= 252 miles left of trip
STEP 2:
divide miles left from step 1 by 3 days
= 252 ÷ 3 days
= 84 miles per day
ANSWER: She needs to travel 84 miles each of the 3 days to complete the trip.
Hope this helps! :)
Answer: The question is a multiple choice so it's A and C:)
Answer:
<em>The length of RS is 47 units</em>
Step-by-step explanation:
<u>Midsegment Theorem</u>
The midsegment of a trapezoid is a line segment that connects the midpoints of the non-parallel sides.
The length of the midsegment of a trapezoid is the average of the lengths of the bases.
The midsegment of the given trapezoid is VW, and the bases are RS and UT.
According to the midsegment theorem:
Substituting the variable lengths of the sides:
Operating:
Dividing the fraction:
Rearranging:
Operating:
x=16
The length of RS is:
The lenght of RS is 47 units