Answers:
- Incorrect
- Correct
- Correct
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Explanation:
When applying any kind of reflections, the parallel sides will stay parallel. Check out the diagram below for an example of this.
So PQ stays parallel to RS. Also, QR stays parallel to PS.
The statement "PQ is parallel to PS" is incorrect because the two segments intersect at point P. This letter "P" is found in "PQ" and "PS" to show the common point of intersection. Parallel lines never intersect.
Answer:
The number of required shelves is 5
You have to find the HCF of 45, 105, and 75.
Answer:
143ft
Step-by-step explanation:
12in is 1 foot and 13x11 (11x13) is 143
Compare them by making them like terms.
4/6 x2/2=8/12
4/6=8/12 so when compared to 4/12,
4/6 > 4-12
Answer:
1 <u> 5 </u> <u>10 </u> <u>10</u> <u>5</u> 1 Row 5
1 <u>6</u> <u>15</u> <u>20</u> <u>15</u> <u>6</u> 1 Row 6
Recursive relationship:
Each row has number of positions = row number + 1. The Row 0 is always 1.
The first and last number in each row is 1, the number in the second position and the penultimate corresponds to the number of the row. The middle numbers correspond to the sum of the two numbers in the top row. The resulting number from the addition is located in the middle of the numbers added in the next row.
Step-by-step explanation:
The pascal's triangle
* Row 0 = 1
* Row 1 = 1 1
1 Row 0
1 1 Row 1
Since there are only two positions, the first and last are 1.
*Row 2 = 1 _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
2 is the sum of 1 + 1 and we place it in the next row between the added numbers 1 and 1.
* Row 3 = 1 _ _ 1
1 Row 0
1 1 Row 1
1 <u>2</u> <u>1 </u> Row 2
1 3 <u>3</u> 1 Row 3
1 + 2 = 3 (the row number and the and adding the numbers from the previous row)
* Row 4 = 1 _ _ _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
1 <u>3</u><u> </u> <u>3</u> 1 Row 3
1 4 <u>6</u> 4 1 Row 4
1 + 3 = 4 (the row number)
3 +3 = 6
* Row 5 = 1 _ _ _ _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
1 3 3 1 Row 3
1 4 6 4 1 Row 4
1 5 10 10 5 1 Row 5
1 + 4 = 5
4 + 6 = 10
* Row 6 = <u>1</u> _ _ _ _ _ <u>1</u>
1 Row 0
1 1 Row 1
1 2 1 Row 2
1 3 3 1 Row 3
1 4 6 4 1 Row 4
1 5 <u>10</u> <u> 10 </u> 5 1 Row 5
1 6 15 <u>20</u> 15 6 1 Row 6
1 + 5 = 6
5 + 10 = 15
10 + 10 = 20