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Masteriza [31]
4 years ago
5

7. The hexagon GIKMPR is regular. The dashed line segments form 30 degree angles. what is the image of oh after a rotation of 18

0?

Mathematics
1 answer:
velikii [3]4 years ago
3 0

Answer:

The image of OH is ON.

Step-by-step explanation:

Te figure GIKMPR is a regular hexagon. The number of vertices of a regular hexagon is 6. The central angle between any two consecutive vertices is 60 degree.

The dashed line segments form 30 degree angles.

If we rotate the hexagon 180 degree about O, then the each point shifts to 6th place from its original place.

Since we rotate the hexagon 180 degree about O, so the image and preimage lies on a straight line. Because a straight line make angle of 180 degree.

The line OH and ON lies on a straight line therefore the image of OH is ON.

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Answer 2x^2 -12

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3 years ago
Everyday, Dave eats either a sandwich or pizza for lunch. Over 42 days, Dave had pizza 3 times for every 4 times he had a sandwi
Elenna [48]

Remark

This problem drove 4 of us crazy until one of us made a break through.


Assumptions.

He must eat either 1 pizza a day or 1 sandwich a day. He can't eat 2 of anything during 1 day. So he can't eat 2 pizzas in a day or 2 sandwiches in a day.


Step One

Find the number of days in a cycle.

3 out of 4 days means out of 4 days he chooses Pizza

2 out of 3 days means out of 3 days he chooses a Sandwich.

That means that there are 4 + 3 days in total = 7 days in the cycle.


Step Two

Find the number of Pizzas and the number of Sandwiches he had during the 42 day period.


3/7 * 42 = Pizzas

3*6 = 18 pizzas in 42 days.


4/7* 42 = Sandwiches

4*6 = 24 sandwiches.


In 42 days he ate 24 + 18 = 42 lunches of either pizzas or sandwiches.


Step three This is the key step.

Find the ratio of sandwiches and pizzas for x days.


Every 5 days he either has 3 pizzas or 2 sandwiches. If the total number of days is x then

3/5 * x = Pizzas

2/5 * x = Sandwiches.


Step 4

Equate the results.

Pizzas = sandwiches.

18 + 3/5 x = 24 + 2/5 x Multiply by 5

18*5 + (3/5)*x * 5 = 24 * 5 + (2/5)*x*5

90 + 3x = 120 + 2x Subtract 2x from both sides

90 + 3x - 2x = 120

90 + x = 120 Subtract 90 from both sides.

x = 120 - 90

x = 30 days.


Conclusion

It takes 30 days to even up the number of pizzas with the number of sandwiches.




5 0
3 years ago
4/5w+13=25 please show work
tino4ka555 [31]

Answer:

w=15

Step-by-step explanation:

4w+13×5 = 25×5

4w =125-65

4w =60

w=15

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