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Step-by-step explanation:
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Three important properties of the diagonals of a rhombus that we need for this problem are:
1. the diagonals of a rhombus bisect each other
2. the diagonals form two perpendicular lines
3. the diagonals bisect the angles of the rhombus
First, we can let O be the point where the two diagonals intersect (as shown in the attached image). Using the properties listed above, we can conclude that ∠AOB is equal to 90° and ∠BAO = 60/2 = 30°.
Since a triangle's interior angles have a sum of 180°, then we have ∠ABO = 180 - 90 - 30 = 60°. This shows that the ΔAOB is a 30-60-90 triangle.
For a 30-60-90 triangle, the ratio of the sides facing the corresponding anges is 1:√3:2. So, since we know that AB = 10, we can compute for the rest of the sides.



Similarly, we have



Now, to find the lengths of the diagonals,


So, the lengths of the diagonals are 10 and 10√3.
Answer: 10 and 10√3 units
Each sibling got 1 poster, 8 CDS and 72 books.
<h3>How the belongings were divided </h3>
Since the belongings were divided equally, each sibling would get the same amount of belongings. In order to determine the belongings each person got, we would divide each possession by 3.
- Number of poster each person got = 3/3 = 1
- Number of books each person got = 216
- Number of CDs each person got = 24 / 3 = 8
To learn more about division, please check: brainly.com/question/194007
Step one. create a common denominator.
ex. 15
walnuts = 10/15 dried fruit= 9/15
so if you had 15/15 pounds of dried fruit you would need 16/15 pounds of walnuts
which is 1 1/15 pounds of walnuts