The line a and b from the given line diagram is parallel since <2 and <3 are corresponding angles.
An angle is the point where two lines meet or intersect. From the given line diagram, we are told that <1 and <2 are supplementary.
Since the sum of supplementary angles is 180 degrees, hence;
<1 + <3 = 180 degrees
Also <1 + <2 = 180 degrees (sum of angles on a straight line)
<1 = 180 - <3
<1 = 180 - <2
Equate
180 - <3 = 180 - <2
-<3 = -<2
<2 = <3 (corresponding angle)
Since <2 is equivalent to <3, hence the line a is parallel to b
Learn more on line and angle theorem here: brainly.com/question/24839702
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Answer:
97+x
Step-by-step explanation:
Let x represent how many cards he got.
20, 31, 33, 35, 55, 57, 58, 59, 72, 73, 79, 86, 87, 88
The data set is split by digit. So 2|0 becomes 20. 5|5 becomes 55. Using this method, the data set is
9 times
Area = length x breadth
area of picture not enlarged = 3 x 5 = 15in²
If length is tripled it becomes , 3 x 3 = 9in
If width is tripled, it becomes , 5 x 3 = 15in
Area of enlarged picture = 9in x 15in = 135in²
amount by which enlarged image is larger = 135in² /15in² = 9
