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3 years ago

△QRS is rotated about point P to △Q′R′S′ .

Mathematics

1 answer:

swat323 years ago

6 0

A rotation is a transformation that preserves figure shape, figure sizes, angles and lengths.

Therefore,

option A is false, because rotation preserves sizes;
option B is false, because rotation doesn't change the figure size;
option C is true, because rotation preserves figure angles;
option D is true, because rotation preserves lenghts of segments.

Answer: option C and D.

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AKAJAXOSPAPXODAOAPA HELP

Leya [2.2K]

Answer:

He used 6 bananas at .50 which cost $3.00

12 oranges at .75 which cost $9.00 and

3 papayas at $1.25 which cost $3.75

Step-by-step explanation:

We can set up a system of equations using the information given.

b for banana, r for orange, p for papaya

b + r + p = 21. Also given r = 2b So substitute to simplify for calculating two unknowns:

b + 2b + p = 21 The number of items.

50b + 75(2b) +125p = 1575 The cost.

I multiplied everything by 100 to eliminate the decimals.

To solve by substituion, rewrite the first equation to get a value for p in terms of b

p = 21 - 3b

Substitute this value in the second equation and solve for b.

50b + 150b + 125(21–3b) = 1575

200b +2625 –375b = 1575 Subtract 2625 from both sides and combine the like terms:

–175b = 1575 –2625

–175b = –1050. Divide both sides by –175

b = 6

Substitute in the original equation to find the amount of each fruit:

b + r + p = 21

b = 6 bananas

r = 2b. 2(6) = 12 oranges. I used r so as not to mix up o with 0.

6 + 12 + p = 21

p = 21 –18

p = 3 papayas

7 0

2 years ago

Find the product of 7×1/2

a_sh-v [17]

The product is 7/2. Hope that helps

8 0

2 years ago

What is the initial value of the function represented by this table?

lakkis [162]

Answer:

Option D. 5

Step-by-step explanation:

we know that

The initial value of the function is the y-intercept, so is the value of the function when the value of x is equal to zero

In this problem observing the table

For x=0

The value of y is equal to y=5

therefore

The initial value is 5

4 0

3 years ago

How many degrees is one rotation that will put a regular pentagon back on top of itself?

Dmitriy789 [7]

If you rotate about the circumcentre of a regular polygon 72° it will overlap with the original image.

8 0

3 years ago

2,10,18,26 find the 61st term

saw5 [17]

Answer:

482

Step-by-step explanation:

We can see that the numbers shown resemble an arithmetic sequence because they have a common difference. The formula for the nth term of an arithmetic sequence is:

$a_{n} =a_{1} +(n-1)d$

Where $a_{1}$ is the first term, $a_{n}$ is the nth term, and $d$ is the common difference. To find the 61st term, all we need is the first term and the common difference. By looking at what given, we can say the first term is 2. Now, to find the common difference, we find the difference of a term from the term before it. In this case we can do $10-2$ , which is $8$ , or the common difference. Since we have everything we need, it can be plugged into the equation:

$a_{61} =2 + (61 - 1)*8\\a_{61} = 2 + 60*8\\a_{61} = 2 + 480\\a_{61} = 482$

So, the 61st term is 482.

4 0

2 years ago