Answer:
3rd quadrant
Step-by-step explanation:
- First we just convert the angle from radians to degrees
- Now that's too big, all this means is if we start rotating from the positive y-axis in a circle we will cross the starting point 2 times, 2 full circles;
- Now in which quadrant it 210 degrees?
- 0 degrees to 90 degrees is 1st quadrant
- 90 degrees to 180 degrees is 2nd quadrant
- 180 degrees to 270 degrees is 3rd quadrant
- 270 degrees to 360 degrees is 4th quadrant
- So our answer is the 3rd quadrant.
Lets take 100 and divide it by 4 to get 25, this means that 1 first part of 100 is 25 these means that the porcentage of 1 in 4 is 25%
Hope this helps
Use the elimination process
Answer:
m < amc = 54°
Step-by-step explanation:
< amb and < bmc are complementary angles whose sum equals 90°.
Therefore, to find the value of 2x°, we must first solve for x.
We can establish the following equality statement:
< amb + < bmc = < amc
< 2x° + (x + 9)° = 90°
Combine like terms:
2x° + x° + 9° = 90°
3x° + 9° = 90°
Subtract 9 from both sides:
3x° + 9° - 9° = 90° - 9°
3x = 81°
Divide both sides by 3 to solve for x:
3x/3 = 81°/3
x = 27°.
Since x = 27°, substitute its value into 2x° to find m < amc:
2x° = 2(27°) = 54°
Therefore, m < amc = 54°
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Answer:
The area of the rectangle = 50 cm^2.
Step-by-step explanation:
Let the shortest side of the rectangle be x cm.
Perimeter of the rectangle is:
2x + 2(x + 5).
Perimeter of the triangle = 3 * 2x.
As they have the same perimeter:
2x + 2(x + 5) = 3*2x
2x + 2x + 10 = 6x
6x - 2x - 2x = 10
2x = 10
x = 5 cm.
So the area of the rectangle = x(x + 5)
= 5 * 10
= 50 cm^2.
