Answer:
Step-by-step explanation:
1) , and are supplementary (given)
2) (corresponding angles theorem)
3) and are supplementary (supplements of congruent angles are congruent)
4) (converse of the same-side interior angles theorem)
We conclude that the sum of the first 8 terms of the arithmetic sequence is 17/5.
<h3>
How to get the sum of the first 8 terms?</h3>
In an arithmetic sequence, the difference between any two consecutive terms is a constant.
Here we know that:
There are 7 times the common difference between these two values, so if d is the common difference:
Then the sum of the first 8 terms is given by:
So we conclude that the sum of the first 8 terms of the arithmetic sequence is 17/5.
If you want to learn more about arithmetic sequences:
brainly.com/question/6561461
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Complete Question
Mr Brown has 2 children are going to london by train
1 adult costs £24 and child ticket costs 12
The Family Railcard offers:
1/3 off adults tickets and 60% off child ticket
What is the total cost of tickets when Mr Brown uses the Family Railcard
Answer:
£25.60
Step-by-step explanation:
From the question:
1 adult costs £24
The Family Railcard offers:
1/3 off adults tickets.
Hence:
1/3 × £24 = £8
The cost for Mr Brown = £24 - £8
= £16
Child ticket costs £12
The Family Railcard offers:
60% off child ticket
Hence = 60% × £12
= 60/100 × £12
= £7.2
The cost for 1 child = £12 - £7.2
= £4.8
The total cost of tickets when Mr Brown uses the Family Railcard is:
Cost for Mr Brown + Cost for his 2 Children
£16 + 2 × £4.8
£16 + £9.6
= £25.60
Answer:
3 units and 4 units
Step-by-step explanation:
Given data
Volume of prism = 72 cubic units
Length of prism= 6 units
Width =????
The expression for the volume is
V= L*W*H
Also,
Volume = Area*L
72= Area*6
Area= 72/6
Area= 12 square units
Hence the possible width and Height is
3 units and 4 units
Because 4*3= 12 square units
Check
volume= 6*3*4= 72 cubic units
106 because, 85 plus 21 = 106