Answer:
Using SAS they are congruent.
Step-by-step explanation:
E is the point where the diagonals AC and BD meet.
Side: AB = CD
Angle: ∠ABE = ∠EDC
Side: BE = DE
Hence by SAS theorem the two triangles are congruent.
From Left side:
NOTE: sin²θ + cos²θ = 1
Left side = Right side <em>so proof is complete</em>
Answer:
-2b/(a-b)
Step-by-step explanation:
1− (a+b/a−b)
We need to get a common denominator of a-b
1 = (a-b)/(a-b)
Replace 1 with (a-b)/(a-b)
(a-b)/(a-b) - (a+b)/(a-b)
Put over the common denominator
(a-b) - (a+b)
-----------------
(a-b)
Distribute the minus sign.
(a-b) - a-b)
-----------------
(a-b)
a-a-b-b
---------------
a-b
-2b
----------
a-b
The formula to find the amount is
here A is amount
P is the principal
'r' is the rate of interest
n is the number of years.
Case 1.
Stevan invests
P =$ 20,000
r = 3% = 0.03
n = 10 years
Hence the interest earned
= A - P = 26878.33 - 20000 = $6878.33
Case 2.
Evan invests
P = $10,000
r = 7% = 0.07
n = 7 years
Hence the interest earned
= A - P = 16057.81 - 10000 = 6057.81
Difference in the interest = 6878.33 - 6057.81 = $820.52
Rounded to the nearest dollar difference in interest = $821
