Answer:
m∡1 + m∡2 = 180
Step-by-step explanation:
m∡1 + m∡2 = 180
This is because supplementary means they add up to 180°.
Solution:
<u>A few tips...</u>
- Tip-1: If "+" and "-" are multiplied, it gives a result of "-".
- Tip-2: If "-" and "-" are multiplied, it gives a result of "+".
- Tip-3: If "+" and "+" are multiplied, it gives a result of "-".
<u>Changing the sign of the given equation.</u>
- 1.25 + (-0.75)
- => 1.25 - 0.75 [Sign changes according to tip-1.]
This could only mean that the arrow would go to <u>1.25 units forward.</u> Then a second arrow will be drawn to go <u>0.75 units back.</u>
The graph that matches with the above info is Option C.
We know that two complements add up to 90.
Let's call the smaller angle x and the larger y.
3x = y
x + y = 90
We can use simple substitution.
x + 3x = 90
4x = 90
x = 22.5
Then, since we know that 3x=y, we can find the larger angle.
3*22.5 = 67.5
22 houses can be cleaned in 11 hours.
Step-by-step explanation:
It is given that;
6 hours = 12 houses cleaned
1 hour = 
1 hour = 2 houses cleaned
In 1 hour, 2 houses can be cleaned, therefore,
11 hours = Time*houses cleaned in one hour
11 hours = 11*2 =22 houses cleaned
22 houses can be cleaned in 11 hours.
Keywords: unit rate, multiplication
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You have the correct answer. It is choice A. Nice work.
I prefer using full circles because sometimes the arcs could be too small in measure to not go where you want them to. If you're worried about things getting too cluttered (a legitimate concern), then I recommend drawing everything in pencil and only doing the circles as faint lines you can erase later. Once the construction is complete, you would go over the stuff you want to keep with a darker pencil, pen or marker. You can also use the circle as a way to trace over an arc if needed.
Choice B is false as a full circle can be constructed with a compass. Simply rotate the compass a full 360 degrees. Any arc is a fractional portion of a circle.
Choice C is false for similar reasoning as choice B, and what I mentioned in the paragraph above.
Choice D contradicts choice A, so we can rule it out. Arcs are easier to draw since it takes less time/energy to rotate only a portion of 360 degrees. Also, as mentioned earlier, having many full circles tend to clutter things up.