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)
I think that the first part is true but the second is wrong because a number and its opposite will have the same absolute value. For example, the 5 is the absolute value of 5 and -5. This works with all numbers and their opposites. Since the number 0 doesn't have an opposite value, I think that 0, as an absolute value, only represents 0.
Hope this helps :P
Answer:
Step-by-step explanation:
exponents raised to a - power is an inverse function probably not the right word
a^-b = 1/(a^b) example 4^-2 = 1/(4^2) = 1/16
so (7^-1)^-1 is a double inverse which is back to the original number 7
inverted 7 twice
(7^-1)^-1 = (1/7)^-1 = 1/(1/7) = 7 trust me or use your calculator
since the coeffients are the same just add the powers... some exponent rule
5^2 * 5^4 * 5^-3 = 5^(2+4-3) = 5³
here is it written out
5^2 * 5^4 * 5^-3 = 5² × 5^4 × 5^-3 = (5×5) × (5×5×5×5) × (1/5×1/5×1/5)
5×5 × 5× (5×5×5 × 1/5×1/5×1/5) (5×5×5 × 1/5×1/5×1/5) = 1
5×5×5 = 5³
so
We know that,
Volume of sphere = 4/3πr³
72 = 4/3 × 22/7 × r³
72 × 21/88 = r³
³√17.18 = r
2.58 cm = r
:)
