Answer:
(-3,4)
(-1,4)
(-3,7)
Step-by-step explanation:
(1,1) → (1-4, 1+3) → (-3,4)
(3,1) → (3-4, 1+3) → (-1,4)
(1,4) → (1-4, 4+3) → (-3,7)
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
A the answer is 9.76
B: he paid with 10 dollar bill you have to subtract 10.00-9.76 he received 24 cents back!
Answer:
-2
or
-2/1
Explanation:
**Slope = rise/run**
By counting the distance between the points, from (0,3) to (1,1) , it went down 2 units and right by 1 unit