Tell whether x and y show direct variation y=x+1
1 answer:
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Answer:
the percent reduction is <u>33.6%</u> and the number of people who were issued a parking ticket are <u>42</u>.
Step-by-step explanation:
Given:
Last month in the village of 125 people were issued a parking ticket.
This month only 83 people were issued one.
Now, to find the percent reduction from this month to last month and the number of people who were issued a Parking ticket.
So, the reduction of the number of people who were issued a Parking ticket from this month to last month are:
125 people - 83 people = 42 people.
Thus, 42 people reduction from this month to last month.
Now, to get the percent reduction:
Therefore, the percent reduction is 33.6% and the number of people who were issued a parking ticket are 42.
<u>Question 1</u>
Two triangles are said to be similar, if their sides are proportional and the corresponding angles are equal.
In the given figures, it is given that one of the angles is 80 degrees. So, the corresponding angle in the another triangle is also 80 degrees.
Also, please note that the triangles are isosceles.
We know that, in an isosceles triangle, the angles opposite to the equal sides are equal.
The equal angles are b and b.
By the angle-sum property, we have:
b + b + 80 = 180
2b + 80 = 180
2b = 180 - 80 = 100
b = 50 degrees.
Similar shapes have the same <u>angles.</u>
<u>Question 2:</u>
Even though the length of the second cuboid is twice the length of the first one, no information is given about the breadth and height.
Let b, c be the breadth and height of the first cuboid and B, H be the breadth and height of the second cuboid.
Now, we have two cases.
Case 1: b = B and h = H
In this case, the volume of the first cuboid is length × breadth × height
= lbh
Volume of second cuboid = (2l) × b × h = 2lbh
So, Simon is correct about the volumes.
Case 2: b ≠ B or h ≠ H
In this case, clearly the volumes will be different and Simon is wrong.
<u>Question 3:</u>
By Basic Proportionality Theorem and from corresponding part of similar triangles,
x = y
or x : y = 1 : 1
<u>Question 4:</u>
Since the jugs are irregular shapes, it is impossible to find their volumes only with known height.