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:
B. 12/5
Step-by-step explanation:
Opposite side of <S is RT = 12
Adjacent side of <S is ST = 5
Tan = Opposite / Adjacent
So
Tan(S) = Opposite / Adjacent
= RT/ST
= 12/5
Answer is B.
Answer:
x < 29
Step-by-step explanation:
8(x−4)<7x−3; distribute 8 in the parenthesis
8x - 32 < 7x - 3; subtract 7x from both sides
x - 32 < -3; add 32 to both sides
x < 29
Answer:
The decimal point moves 2 places to the right.
Step-by-step explanation:
EX:
decimal: .95
percent: 95%
the decimal point moves 2 places to the right
Answer:
x needs to be smaller or equal to -3
Step-by-step explanation:
-3x7 = -21
you get there by dividing -21 by 7
example smaller number: -4x7 = -28
