Transversal line :
A transversal line is one that crosses two or more lines at different points.
Transversal Properties :
- Each pair of corresponding angles when a transversal cuts two parallel lines are equal in size.
- Each pair of alternate interior angles created by a transversal when two parallel lines are cut are equal.
- If two parallel lines are cut by a transversal, then each pair of interior angles on the same side of the transversal are supplementary, i.e. they add up to 180 degrees
Each pair of corresponding angles when a transversal intersects two parallel lines is equal. Thus,
∠1 = ∠6
∠4 = ∠8
∠2 = ∠5
∠3 = ∠7
Each alternate interior angle pair is equal if a transversal intersects two parallel lines.
∠4 = ∠5
∠3 = ∠6
Hence, proved..
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The given ordered pairs represent a function already. You can remove any ordered pair and still have a function.
Are you sure you copied the ordered pairs correctly?
John invested the money at simple interest for 4.22 years.
We have,
Invested amount = $ 4500
Rate of interest = 5.5 %
Time = t years
Maturity value = $ 5545
So,
Total interest earned = $ 5545 - $ 4500 = $ 1045
And,
Simple interest = (Principal × Rate × Time ) / 100
So, Using the mentioned formula,
1045 = ( 4500 × 5.5 × t ) /100
1045 = 45 × 5.5 × t
⇒
t = (1045) / (45 × 5.5)
⇒ t = 4.22 years
Therefore, John invested the money at simple interest for 4.22 years.
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If you factor it the answer would be (2x+1)(2x+5). Hope this helped.
The value of scale k is 3
Step-by-step explanation:
In order to find the scale , we can either divide the coordinates of H' by the original point or compare both the points to find the original ordered pair.
Given
H(3,4)
H'(9,12)
The coordinates of H are multiplied with some integer k to form H'
So,
<u>For x-coordinate:</u>
3k = 9
k = 9/3 = 3
<u>For y-coordinate:</u>
4k = 12
k = 12/4 = 3
Hence,
The value of scale k is 3
Keywords: Coordinate geometry, scaling
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