The measure of ∠FDE = 18°
<u>Explanation:</u>
A Pentagon has 5 sides and is made of 3 triangles
So, sum of the interior angles of the triangle = 180°
Therefore, the total interior angle of a regular pentagon = 3 X 180° = 540°
A regular pentagon will have all its angle equal
All the five angles would make 540°
Let the measure of one angle = x
So,
5x = 540°
x = 108°
Therefore, the measure of each angle of a pentagon is 108°
From the diagram,
∠AED + ∠FED = 180°
∠AED = 108° as it is one of the sides of the pentagon
So,
108° + ∠FED = 180°
∠FED = 72°
In ΔEFD,
∠FED + ∠EFD + ∠FDE = 180°
72° + 90° + ∠FDE = 180°
∠FDE = 18°
Therefore, the measure of ∠FDE = 18°
What we know is 6 * 5 equals 30 so if we do 4 * 5 we get 20 as our answer
Answer: 919
Step-by-step explanation: I set up a cross multiplication equation. I set 55 over 100 equal to 505.45 over X. I cross multiplied and did 505.45 times 100, which is 50,545. I then did 50,545 divided by 55 to get the answer of 919.
Step-by-step explanation:
Since they want to prove that ABCD is a square, you only need to know the lengths of two adjacent sides.
Distance formula: d =
(x2 - x1)^2 + (y2 - y1)^2
A: (3, 4) B: (2, -2) C: (-4, -1) D: (-3, 5)
Distance of AB where A = (x1, y1) and B = (x2, y2)
d =
(2 - 3)^2 + (-2 - 4)^2
d =
(-1)^2 + (-6)^2
d =
1 + 12
d =
13
Distance of CB where B = (x1, y1) and C = (x2, y2)
d =
(-4 - 2)^2 + (-1 - (-2))^2
d =
(-6)^2 + (1)^2
d =
12 + 1
d =
13
Since dAB = dCB, therefore quadrilateral ABCD is a square.
Answer:
In order to calculate interest receivable and interest revenue for notes receivable, you can multiply the interest rate by the amount of notes receivable and then divide by 12 to capture the monthly rate.