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Law Incorporation [45]
3 years ago
15

A square rotated about its center by 360º maps onto itself at different angles of rotation. You can reflect a square onto itself

across different lines of reflection.

Mathematics
2 answers:
harkovskaia [24]3 years ago
8 0

A square rotated about its center by 360º maps onto itself at 4 different angles of rotation. You can reflect a square onto itself across 4 different lines of reflection.

ale4655 [162]3 years ago
5 0

Solution:

When a square is rotated by an angle of 360°, at all four places that is when it is rotated by angle of 90° each time, at all four instances it is congruent  to original square.

So, when a square is reflected along a line ,there are four lines through which square looks symmetrical.

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GUYS I NEED HELP PLSSSSSS! Ive been working on this ALL day!
Vika [28.1K]

First, let's write what we know.

We can represent the number of students in the play from each class as L, G, and C. We know that L = 7, and if Gardener has 4 more students than Cho, then G = C + 4.

Then, taking the third line, we can write an inequality:

C < L < G

C < 7 < C + 4

C - 4 < 3 < C

3 < C < 7

If C is greater than 3 and less than 7 and is an integer, than means C is 4, 5, or 6.

Then, we need to find how many students are in the play.

C + L + G

C + 7 + C + 4

2C + 11

So we have our expression for the number of students in the play. Then, we need to find the total number of students. We know that 2C + 11 will be 30% of the total, so if T is the total, we can find T.

0.3T = 2C + 11

(Divide by 3/10 or multiply by 10/3 on both sides)

T = 20/3 C + 110/3

We know from before that C is 4, 5 or 6. We can plug these into our equation here to find which one produces a whole number.

T = 20/3 * 4 + 110/3

T = 190/3

T = 20/3 * 5 + 110/3

T = 210/3

T = 70

T = 20/3 * 6 + 110/3

T = 230/3

We can see here that only when C is 5 will the total be a whole number. That means Mrs. Cho has 5 students in the play. If Mrs. Gardner has 4 more than that, she has 9 students in the play in her class.  We now need to figure out the number of student in her class.

The total students are Cho's, Logan's, and Gardner's classes added together. We know that Logan's class is 23 students, so if we subtract that from the total, we can see that Cho's and Gardner's class have 47 students. If Mrs. Cho has 24 students in her class, we can subtract that from the 47, so we know that Mrs. Gardner has 23 students in her class.

4 0
3 years ago
My number is a multiple of 2 &amp; 7 my number is less than 100 but greater than 50 my number is the product of three prime numb
forsale [732]
12345678910
ihtrguhbvr;wmytpb jq
omuyi bnkq4ht6kljihtlr'iwhvncnh ug5

8 0
3 years ago
Please help me
victus00 [196]

Answer:

The lines are perpendicular, meaning if they were to intersect, they would form four right angles.

3 0
3 years ago
Damon, Dave &amp; Dina share some money in
scoray [572]

Answer:

6/18

Step-by-step explanation:

Total amount of money that they have:

5 + 7 + 6 = 18

Since Dina has 6, the answer should be 6/18.

4 0
3 years ago
Read 2 more answers
in the school cafeteria students chose their lunch from 3 sandwiches, 3 soups, 4 salads, and 2 drinks. how many different lunche
Vesna [10]

Answer:

Answer:

3

×

3

×

4

×

2

=

72

Explanation:

Let's look at the 3 sandwiches and 3 soups first and then expand the calculation. There are 9 ways I can have one of the sandwiches and 1 of the soups:

⎛

⎜

⎜

⎜

⎜

⎝

0

Soup 1

Soup 2

Soup 3

Sandwich 1

1

2

3

Sandwich 2

4

5

6

Sandwich 3

7

8

9

⎞

⎟

⎟

⎟

⎟

⎠

And so we can see that we multiply the number of sandwiches and the number of soups to get the total number of ways to get one of each.

The same works for more categories of choices, and so we multiply the 3 sandwiches, the 3 soups, 4 salads, and 2 drinks to get:

3

×

3

×

4

×

2

=

72


7 0
3 years ago
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