Answer:
4 square units
Step-by-step explanation:
If the triangles have corresponding sides the same length, they are congruent triangles. Any measure of ΔABC is the same for ΔDEF.
The area of ΔDEF is 4 square units.
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
<span>2500(1.03)^5 that's the equation .
which means it would be 2,898.18</span>
Answer:
what do you mean?
Step-by-step explanation:
To be able to compare the rates, we will write them in fraction form.
The fraction that represents Joe's rate is:

and the fraction that represents Bob's rate is:

Simplifying the above fractions, we get:

Since:

then Bob and Joe did not work at the same rate.
Answer:
No, Bob and Joe did not work at the same rate.