Answer:
∠ A ≅ ∠ E
∠ K = 60°
Step-by-step explanation:
Part 1.
Given that ABCD ≅ EFGH.
Whenever a quadrilateral is congruent to another, and we write the congruency in symbol, then the order of congruency with respect to angles and sides are maintained in the symbol.
That means if ABCD ≅ EFGH, then ∠ A ≅ ∠ E, ∠ B ≅ ∠ F and so on.
Therefore, in this case, ∠ A ≅ ∠ E (Answer) {It is also shown in the diagrams}
Part 2.
Given that, Δ EFG ≅ Δ KLM
Hence, ∠ E ≅ ∠K, ∠ F ≅ ∠ L, and ∠ G ≅ ∠ M
It is also given that ∠ F = 35° and ∠ G = 85°
So, ∠ E = 180° - ∠ F - ∠ G = 180° - 85° - 35° = 60°
Since, ∠ E = ∠ K,
So, ∠ K = 60°. (Answer)
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Answer:
The formula to calculate APY is (1 + (i/n))^n - 1
where i is the interest rate and n is the number of compounding periods.
Monthly APY = (1 +(0.055/12)^12 -1
APY = 0.0564 = 5.64%
Quarterly APY = (1 +(0.055/4)^4 -1
APY = 0.0561 = 5.61%
Difference = 5.64 - 5.61 = 0.03% more when compounded monthly.
The APY is more when compounded monthly, because there are more compound periods.
-4x -6 = -5y + 2
5y = 4x + 6 + 2
5y = 4x + 8
Y = g(x) = 4/5x + 8/5
