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dezoksy [38]
3 years ago
12

Which series of transformations shows that heptagon A is congruent to heptagon B?

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
3 0

Answer: Reflect heptagon A over the y-axis, rotate it 90° counterclockwise about the point (4, 3), and translate it 8 units down.

Step-by-step explanation:

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3x+y=115x-y=21 Directions: Solve each system of equations by elimination. Clearly identify your solution.
olchik [2.2K]

To solve, we will follow the steps below:

3x+y=11 --------------------------(1)



5x-y=21 ------------------------------(2)

since y have the same coefficient, we can eliminate it directly by adding equation (1) and (2)

adding equation (1) and (2) will result;

8x =32

divide both-side of the equation by 8

x = 4

We move on to eliminate x and then solve for y

To eliminate x, we have to make sure the coefficient of the two equations are the same.

We can achieve this by multiplying through equation (1) by 5 and equation (2) by 3

The result will be;

15x + 5y = 55 ----------------------------(3)

15x - 3y =63 --------------------------------(4)

subtract equation (4) from equation(3)

8y = -8

divide both-side of the equation by 8

y = -1

8 0
1 year ago
An assembly line with 10 tasks needs be designed. The total time for all tasks is 16 minutes. If you need to produce 30 units/ho
Sindrei [870]

Answer: 8 minimum work stations is what would be needed.

Step-by-step explanation:

The cycle time is computed as the operating time daily divided by the scheduled output.

It is important to note that the daily capacity of the operation layout is the operating time divided by the cycle time.

Therefore,

If you need to produce 30units/hour.

The average cycle time is as follow:

The average cycle time is the average time between the completions of units.

60/30= 2 average cycle time

=16/2

=8

8 work stations is the minimum number that would be needed.

It is important to know that in an assembly line balancing, the minimum number of work station is the ratio of the sum of all tasks time to the cycle time.

5 0
3 years ago
The perimeter of a​ standard-sized rectangular rug is 4040 ft. the length is 22 ft longer than the width. find the dimensions.
Nataly_w [17]
L = w+22

2(l+w) = 4040
2(w+22+w) = 4040
2w + 22 = 4040/2 = 2020
2w = 2020-22 = 1998
w = 999ft

l = w+22 = 999+22 = 1021ft
w = 999 ft
3 0
2 years ago
Find the probability of landing on an even number when spinning the spinner below.
Mariulka [41]

Answer:

There are 8 numbers.

4 of the numbers are even ( 2, 4, 6, 8)


The probability is the number of even numbers over the total numbers:


4/8 which reduces to 1/2.


The answer is 1/2



3 0
3 years ago
Write the equation of a line in slope-intercept form. (Brainliest)
Julli [10]
The equation of the line is y=x-2
3 0
2 years ago
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