In a convex pentagon, the measure of angle D is 132°.
<h3>What is convex pentagon?</h3>
If a planar polygon has all the line segments connecting any given pair of its points, it is said to be convex pentagon.
Properties of a Convex Polygon are-
- Any polygon whose inner angles are all smaller than 180 degrees is said to be convex.
- A concave polygon is one in which at least one of the angles is bigger than 180°.
- A convex polygon's diagonals are located inside the polygon.
- A polygon is considered convex if the line connecting every pair of its points lies entirely within it.
Calculation for the measure of angle D.
The sum of the interior angles = 540°
Let A, B , C = D - 40
And let E = D
So we have
A + B + C + D + E = 540
(D - 40) + (D - 40) + (D - 40) + D + D = 540
5D - 120 = 540
5D = 660
D = 660 / 5
D = 132°
Therefore, the measure of angle D is 132°.
To know more about the convex pentagon, here
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Answer:
10^5 = 100.000
Step-by-step explanation:
We know that 10^5 = 10 * 10* 10 * 10 * 10 = 100.000.
So, we have that 10^5 = 100.000
It would be choice B.
This is because the 3 is distributed to the 4 to get 12. The 10^4 is distributed to the 10^23 and because of the exponent laws, the exponents are added to get 27 and the 10's (being the base) is left alone.
I think you are asking for 3 different ways of diving 100 pounds of potatoes into 5 and 2 pounds bags.
Alright:
- 5 two pounds bags and 18 five pounds ones
- 10 two pounds bags and 16 five ones
- 15 two pounds bags and 14 five pounds ones
P(B|A) = P(A and B)/P(A)
So to find P(A and B) just multiply P(B|A) by P(A)
P(A and B) = 0.45*0.46 = 0.207
