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)
Answer:
Step-by-step explanation:
Given:
Properties of Exponents:
<u>Rational Exponent Property</u>:
- a number raised to a fraction, can be converted to a radical.
- the numerator becomes the exponent, and the denominator becomes the index of the radical.
<u>Product of Powers Property:</u>
- when multiplying powers with the same base, add the exponents.
1. Convert into a radical:
2. Simplify the expression:
3. Evaluate the power:
4. Multiply:
The answer is $32.57 first i took 289 divided by 22 to get miles per gallon and then i took that times 2.48 and I got 32.57. Did this make sense?
<span>The square root of (a * b) is equal to (the square root of a) * (the square root of b)
-32 equals 32 * -1; therefore, the square root of -32 equals the square root of 32 times the square root of -1.
32 equals 16 * 2; the square root of 32 equals ? 16 * ?2 equals 4* ?2
The square root of -1 is i.
Therefore (2? -32) equals 2 * 4 * i * ?2 = 8i?2</span>