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LuckyWell [14K]
3 years ago
8

The transformation which will map triangle PQR onto P'Q'R is​

Mathematics
1 answer:
Mazyrski [523]3 years ago
3 0

Given:

The graph of triangle PQR and triangle P'Q'R'.

To find:

The transformation that will map the triangle PQR onto P'Q'R'.

Solution:

From the given graph it is clear that the triangle PQR is formed in II quadrant and its base lies on the negative direction of x-axis.

The triangle P'Q'R' is formed in IV quadrant and its base lies on the positive direction of x-axis.

This is possible it the figure is rotated 180 degrees about the origin.

Therefore, the correct option is A.

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Answer:

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Step-by-step explanation:

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Find the greatest common factor of the terms in the following expression: 8m + 18mn.
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Lady_Fox [76]

Answer:

  • 0.008 °C

Explanation:

<u>1) Write the changes in the temperature of the city over the 4 days in an easy way to read.</u>

<u />

  • 1.34 °C
  • - 5 / 7 °C
  • - 0.75 °C
  • 4/9 ° C

<u />

<u>2) Write the expression to show the average daily change in temperature.</u>

The average of a set of data is calculated with the expression:

  • Average = (sum of the data) / amount of data

Hence, you need to add the four change of temperature data and divide by 4.

The expression is:

  • Average =  [ 1.34 °C + (- 5 / 7 °C) + ( - 0.75 °C) + 4/9 ° C ] / 4

<u>3) Write the steps to solve the expression:</u>

You can choose between adding  fractions or adding the decimal forms of the numbers.

If you choose adding decimals, keep the complete decimals in your calculator, to avoid the accumulation of errors due to rounding. Round only the final result.

These are the steps.

<u>a. Find the decimal forms of the fractions:</u>

  • - 5/7  ≈ 0.71428
  • 4 /9 ≈ 0.44444

<u>b. Add the four data:</u>

  • 1.34°C + (- 0.71428 °C) + (-0.75 °C) + 0.44444 °C ≈ 0.32019 °C

<u />

<u>c. Divide the sum by the number of data (4)</u>

  • 0.32019 °C / 4 ≈ 0.080004 °C

<u>4. Round to the nearest hundredth</u>

The place of the hundreth is the second after the decimal point, which is 8 in this case:

  • 0.080004 °C ≈ 0.08 °C

7 0
3 years ago
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