Paul was thinking of a number. Paul adds 10, then divides by 2 to get an answer of -13. What was the original number?
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The two angles are 155 degrees and 25 degrees
<h3><u>Solution:</u></h3>Given that two supplementary angles are in ratio 31 : 5
Let the first angle be 31a
Let the second angle be 5a
Two Angles are Supplementary when they add up to 180 degrees.
Therefore,
first angle + second angle = 180 degrees
<em><u>Therefore the angles are:</u></em>
first angle = 31a = 31(5) = 155 degrees
second angle = 5a = 5(5) = 25 degrees
Thus the two angles are 155 degrees and 25 degrees
The length of both rooms is 10 meters and the width for the kitchen is 5 meters, while the one for the dining room is 9 meters.
<h3>How to find the length of the rooms?</h3>Both rooms have the same length but different areas and different widths. This common measurement can be found using the GFC or the greatest common factor. To do this, divide each number by 1,2,3, etc., and find the greatest common number (only integers are valid).
- 50: 50 25 10 5 1
- 90: 90 45 30 18 15 10 9 6 5 3 2 1
The greatest common number is 10, so 10 meters is the length of the room.
<h3>How to find the width?</h3>Use the formula
- A = lenght x width or width = area / lenght
Kitchen.
- Width: 50 / 10
- Width: 5 meters
Dining room:
- Width: 90 / 10
- Width: 9 meters
Note: In this question the diagram is missing; below, I attach the diagram.
Learn more about greatest common factor in: brainly.com/question/282609
