Answer:
180
Step-by-step explanation:
for two angles to be supplementary, their sum must be equal to 180°
IT's just a simple conversion.
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Ok. So, when you divide with decimal places, you have two options -
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Suck it up and divide, or move the decimal places to the right as many times as needed, until the number is a whole number.
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Choosing to move the decimal places to the right is the easy way out...
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So?
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Move decimal point to the right two places in both numbers!!
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80 and 64.
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So what is 80/64?
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You got it!!
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1.25.
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Hope I helped!!
Answer:
Anya rode at 8.5 miles per hour.
Step-by-step explanation:
We have been given that Taylor and Anya live 63 miles apart. One day they left their houses at 8 am and met at 11 am riding toward each other. Taylor rode at 12.5 miles per hour.
We can see that Taylor and Anya met after 3 hours as 11-8=3. This means that both rode their cycles for 3 hours.
Let us find distance covered by Taylor.



Therefore, Taylor covered 37.5 miles in 3 hours.
Let us find distance covered by Anya in 3 hours by subtracting distance covered by Taylor from total distance of 63 miles.


Now let us find speed at which Anya rode bike.


Therefore, Anya rode the bike at the speed of 8.5 miles per hour.
In the figure attached, red circle A and red point B are the circle and external point of interest. Note that we must know where the center of circle A is. If we don't know that, there are construction techniques for finding it, but that is beyond the scope of this answer.
Step 1. Set your compass to a radius greater than half the length of segment AB. Here, we have made the radius AD.
Step 2. Draw arcs above and below the center of segment AB centered at A and B using the radius of Step 1. Here the "arc" is shown a a full (green) circle. Only the points where the arcs intersect (E and F) are of interest, so it is not necessary to draw the full circle.
Step 3. Identify the points of interesection (E and F) of the arcs of Step 2, then draw a line segment between them. This segment (EF) is the perpendicular bisector of AB. Mark point G where it intersects segment AB. As with the green circles, it is not necessary to draw the whole line EF, since we are only interested in the location of the midpoint of AB, which is point G.
Step 4. Using G as the center, and GA or GB as the radius, draw semicircle AHB. The point of intersection H is the only part of that (blue) circle of interest, so it is not necessary to draw the whole thing.
Step 5. Finish the consruction by drawing tangent line BH.
What you must do for this case is to rewrite the first expression to find its value.
We have then:
153 = 2 (z + z) n
Rewriting:
153 = 2n2z
Then,
2n (2z) -193
Substituting
153-193 = -40
Answer:
the value of 2n (2z) -193 is
-40