Equals 180 because the exterior angle in question is equal to the sum of the other two angles in the triangle. In other words, the other two angles in the triangle (the ones that add up to form the exterior angle) must combine with the angle in the bottom right corner to make a 180 degree angle.
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Add whole numbers.
2x + 1 + 37 + 118 = 180
Add whole number (if there is any).
2x + 38 +118 = 180
Subtract 156 from both sides to have one side have a variable.
2x + 156 = 180
-156 -156
Divide both sides by 2 because you don't need the whole number with the variable.
2x = 24
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2 2
You get the answer as 12.
x = 12
Check:
2(12) + 1 + 37 + 118 = 180
24 + 1 + 37 + 118 = 180
25 + 37 + 118 = 180
62 + 118 = 180
180 = 180
Answer: Jan now has 27 model airplanes.
Step-by-step explanation: The starting figure is 25 model airplanes and this year she has 32% more than she started with. We shall first find out how many that turned out to be. Let the current number of model airplanes be X.
X = 25 + 32%
[To calculate 32% of 25
25 x 32/100
(25 x 32)/100
800/100
8]
X = 25 + 8
X = 33
Now she has 33 model airplanes and she gave out 6 of these to her brother, then she finally has left with her, 33 minus 6 which equals 27.
Jan now has 27 model airplanes left
If you think about it, a hexagon can be cut into 6 equilateral triangles. Because of this, all you need to do is find the area of one triangle and multiply it by 6. Since the side length of one triangle is 12, we know that is the base. Since the triangles that are created when cutting the equilateral triangle in half are both 30 60 90, the height must be 6(3)^1/3. We can then multiply 12 • 6 radical 3 •1/2 to get 36 radical 3. Multiply this by 6 and get 216 radical 3 units squared.
Answer:
456
Step-by-step explanation:
thank you for the free ponits :)))
