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Natasha_Volkova [10]
3 years ago
9

One number is 5 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 779,

find the numbers.
Mathematics
1 answer:
AlladinOne [14]3 years ago
7 0

Answer:

<h3>             97, 485 and 197</h3>

Step-by-step explanation:

x       - the first number

One number is 5 times a first number:

5x    - "one" number (the second number)

A third number is 100 more than the first number:

x + 100   - the third number

x + 5x + x+100   - the sum of the three numbers

x + 5x + x+100 = 779

            -100         -100    

    7x = 679

   ÷7       ÷7

      x = 97

5x = 5•97 = 485

x+100 = 97 + 100 = 197

Check:

97 + 485 + 197 = 779

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<u>ANSWER TO PART A</u>

The given triangle has vertices J(-4,1), K(-4,-2),L(-3,-1)


The mapping for rotation through 90\degree counterclockwise has the mapping


(x,y)\rightarrow (-y,x)


Therefore

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ANSWER TO PART B


For a reflection across the y-axis we negate the x coordinates.


The mapping is



(x,y)\rightarrow (-x,y)


Therefore

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We plot all this point and connect them with straight lines.


See graph in attachment







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