Square ABCD and square EFGH share a common center on a coordinate plane.EH is parallel to diagonal AC . Across how many lines of reflection can the combined figure reflect onto itself?
Answers
Answer: 4
Step-by-step explanation:
Given: Square ABCD and square EFGH share a common center on a coordinate plane.EH is parallel to diagonal AC .
Since square is a regular quadrilateral, which means that it has four equal sides and angles. there are two diagonal of the square which divides it into two equal halves.
Also, there are 4 lines of reflection of every square which reflect onto itself.
Therefore, in square ABCD , AC and BD are the diagonals of the square which divide it into equal halves by passing through the center.
Since, EH is parallel to diagonal AC,l then the diagonal will bisect the sides of the square EFGH.
Similarly if we draw the diagonals of square EFGH it will extend and bisect the sides of the Square ABCD.
Hence, there are 4 lines of reflection can the combined figure reflect onto itself.
Answer B
The reflection 's axis of EFGH are the same as those of ABCD which are 4.
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Both 180 seconds or 3 minutes are equal.
What is division?
The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
We have two times,
180 seconds and 3 minutes.
180 seconds in minutes,
= 180/60
= 3 minutes.
Therefore, both are the same.
To learn more about the division;
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how you find the answer is you divide 60 into 180 and you get 3 which means 3 minutes so their both the same
A) 6 souvenir brochure
B) 10 souvenir brochure
C) 12 souvenir brochure s
D) 18 souvenir brochure
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6 souvenir brochures must be purchased in order Which is the correct answer would be an option (A)
What is the Linear equation?
A linear equation is defined as an equation in which the highest power of the variable is always one.
The slope-intercept form is y = mx+c, where the slope is m and the y-intercept is c.
For the functions, we have that:
The set-up fee is the admission fee.
The price per souvenir brochure is the slope.
Hence the functions are given by:
R(x) = 10 + 6.25x
S(x) = 13 + 5.75x
We have been given the total cost at Concert R and Concert S to be the same.
So R(x) = S(x).
⇒ 10 + 6.25x = 13 + 5.75x
⇒ 0.5x = 3
⇒ x = 3/0.5
⇒ x = 6.
Therefore, 6 souvenir brochures must be purchased in order for the total cost at Concert R and Concert S to be the same.
Learn more about the Linear equations here:
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Answer:
6 souvenir brochure
Step-by-step explanation:
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