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lara31 [8.8K]
3 years ago
12

Triangle `ABC` was rotated `90` degrees clockwise. Then it underwent a dilation centered at the origin with a scale factor of `4

`. Triangle `A'B'C'` is the resulting image.
Compare the perimeters of triangle `ABC` and triangle `A'B'C'`. Explain your reasoning.
Mathematics
1 answer:
REY [17]3 years ago
8 0

Answer:

it is 170 degrees

Step-by-step explanation:

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The sum of two prime numbers and an odd positive integer is 128. What is the largest of the possible primes?
Vedmedyk [2.9K]

Prime numbers are numbers that can only be divided by itself and 1. The largest possible prime number that fits the scenario is 113

Let the prime numbers be p1 and p2, where p1 > p2; and the odd numbers be x1 and x2

So, we have:

p_1 + p_2 + x_1 + x_2 = 128

The largest prime number less than 128 is 127.

If p_1 = 127, then

p_1 + p_2 + x_1 + x_2 = 128 becomes

127 + p_2 + x_1 + x_2 = 128

p_2 + x_1 + x_2 = 128-127

p_2 + x_1 + x_2 = 1

<em>This is not possible, because three positive integers cannot add up to 1</em>

The next largest prime number is 113

If p_1= 113, then

p_1 + p_2 + x_1 + x_2 = 128 becomes

113 + p_2 + x_1 + x_2 = 128

Collect like terms

p_2 + x_1 + x_2 = 128-113

p_2 + x_1 + x_2 = 15

Let p_2 = 3

p_2 + x_1 + x_2 = 15 becomes

3 + x_1 + x_2 = 15

Collect like terms

x_1 + x_2 = 15-3

x_1 + x_2 = 12

x_1 and x_2 are odd numbers.

So, we have:

x_1 = 5\\x_2 =7

This is true because

x_1 + x_2 = 12

5 + 7 = 12

<em>Hence, the largest of the possible primes is 113</em>

Read more about prime numbers at:

brainly.com/question/4184435

5 0
3 years ago
A microscope was originally priced at $100 but went on sale for 10% off. If Adele bought the microscope and paid 10% sales tax,
kherson [118]
99 dollars
100x0.9%=90
90x1.1%=99
6 0
3 years ago
How much is 7% of $799.00?
harkovskaia [24]
The answer to your question is 55.93
8 0
3 years ago
If the principle is $12,000 and the rate of interest is 6% (simple interest), what
Elza [17]

9514 1404 393

Answer:

  $12,720

Step-by-step explanation:

The amount is given by the formula ...

  A = P(1 +rt)

where P is the principal, invested at rate r for t years.

  A = $12,000(1 +0.06·1) = $12,720

The total amount after 1 year is $12,720.

7 0
3 years ago
One of the valves on the Hoover Dam releases 40000 gallons of water per second what is the rate in gallons per minute
UNO [17]
Ok so we know that in ONE second, the dam releases 40000 gallons of water. In ONE minute, there are 60 seconds. Therefore...

1 second----------------40000 gallons
60 seconds--------------? ( this is what we're trying to find.

To get from 1 to 60, we multiplied by 60. Now we do it on the other side. 40000 times 60 is 2,400,000, so the rate in gallons per minute is 2,400,000 gallons per minute
6 0
3 years ago
Read 2 more answers
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