Square ABCD and square EFGH share a common center on a coordinate plane. is parallel to diagonal . Across how many lines of reflection can the combined figure reflect onto itself?.

Answers

Answer 1

Answer:

Answer:

4 lines of reflection.

Step-by-step explanation:

The complete problem states:

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?

Basically, all diagonals work as lines of reflection of the figure, because we have squares which are complete symmetrical, and their diagonals always divide them in halves, creating a reflection.

So, the first two lines of reflection are the diagonals of the big square AC and BD. Due to square EFGH share a common center and EH is parallel to diagonal AC, bigger diagonals divide its side equally, creating reflections.

Also, based on the parallelism given, the diagonals of the small square will divide in half the sides of the big square, if we prolong them. So, there we have two more lines that create reflections.

In sum, there are 4 lines of the figure combined that reflect onto itself.

Answer 2

Answer: Square ABCD and square EFGH will reflect onto themselves across 8 lines of reflection

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There are 49,000 seats in a sports stadium. Tickets for the seats in the upper level sell for $25, the ones in the middle level cost $30 and the ones in the lower level are $35 each. The number of seats in the middle and bottom levels together equal the number of seats in the upper level. When all of the seats are sold for an event, the total revenue is $1,419,500. How many seats have been sold in the upper level?

Answers

u- amount of upper level tickets which cost 25$
m-amount of middle level tickets which cost 30$
b-amount of bottom level tickets which cost 35$

m+b=u and
m+b+u=49000 and
25u+30m+35b=1419500

putting u from first equation to the second
2u=49000
u=24500 - seats in upper level
m+b=24500 so m=24500-b
25*24500+30(24500-b)+35b=1419500
612500+735000-30b+35b=1419500
1347500+5b=1419500
5b=72000 /:5
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Which of the following represents "the difference between a number and eight is twenty-two"?8 - N = 22
N - 8 = 22
8 - 22N

Answers

Both of the first 8 - N = 22 N - 8 = 22 Represent the difference between a number and 8 is 22 as it is not mentioned that either 8 or the unknown number N is greater so both of the first two represent the difference between a number and 8 is twenty two.

Answer:

The Answer is N - 8 = 22

this is because the question ask the difference of a number and eight is twenty-two, which means a number (N) comes first before the difference ( - ) is eight (8) is (=) twenty two (22) following this order gives the answer above in bold.

Step-by-step explanation:

6b − 1 ≤ 41 or 2b + 1 ≥ 11

Answers

Answer:

b $\leq$ 7 or b $\geq$ 5

Step-by-step explanation:

6b-1 $\leq$ 41 or 2b+1 $\geq$ 11

+1 to both sides to get 6b $\leq$ 42

then divide both sides by 6 to get b $\leq$ 7

then for the other side you -1 by both sides to get 2b $\geq$ 10

then divide both sides by 2 to get b $\geq$ 5

then your final answer would be b $\leq$ 7 or b $\geq$ 5.

Which statement best illustrates using the vertical line test to determine if the graph below is a function of x?The graph is not a function of x because the line x = 0 intersects the graph at two points.

The graph is a function of x because the line x = 5 does not intersect the graph.

The graph is not a function of x because the line y = 0 intersects the graph at two points.

The graph is a function of x because the line y = 5 does not intersect the graph.

Answers

Answer:

c yw

Step-by-step explanation:

Answer:

The answer is either a or c .

Step-by-step explanation:

Use completing the square to solve (x – 12)(x + 4) = 9 for x.

Answers

OK, here we go
open brackets first,
X²+4x-12x-48=9
x²-8x-48-9=0
x²-8x-57=0
x²-8x=57
x²-8x-4²=57-4²
(x-4)²=57-16
(X-4)²=41
√(x-4)²=+ or -√41
x=4+√41 or x=4-√41
x=4+6.403 or x=4-6.403
x=10.403 or -2.403
x≈ 10.4 or -2.4

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Answers

A student was asked to use the formula for the perimeter of a rectangle, p = 2l 2w, to solve for l. the student came up with an answer, p -2w=2l. what

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