Given: Quadrilateral DEFG is inscribed in circle P. Prove: m∠G+m∠E=180∘
1 answer:
Answer:
The answer is below
Step-by-step explanation:
Let lines be drawn from D to F (line DF) and from F to G (line FG) as shown in the diagram attached.
∠FDE = ∠FGE (angles in the same segment).
Also, ∠EFD = ∠EGD (angles in the same segment)
∠FDE + ∠EFD = ∠FGE + ∠EGD = ∠FGD
Adding ∠FED on both sides gives:
∠FDE + ∠EFD + ∠FED = ∠FGD + ∠FED
But ∠FDE + ∠EFD + ∠FED = 180° (sum of angles in a triangle)
Therefore ∠FGD + ∠FED = 180°
m∠G + m∠E = 180° (sum of opposite angles in a cyclic quadrilateral is 180°)
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Answer:
Step-by-step explanation:
which does not represent the identity property of multiplication.
Rest all represents the identity property of multiplication.
Considering that the square root of 9 is of 81 and of 10 is of 100, we have that the expression that has a value between 9 and 10 is given by:
B.) √89
E.)
F.)
We suppose numbers n and m, with square roots given, respectively, by n² and m².
Then, the square roots of all numbers between n² and m² have values between n and m.
In this problem, the square roots are given by:
- 9² = 81.
- 10² = 100.
Hence, the square root of all values between 82 and 99 are values between 9 and 10, thus option B is correct.
As for the cubic root, we apply the same logic and have that:
- 9³ = 729.
- 10³ = 1000.
Hence options E and F are also correct, as the values between 730 and 999 have cubic roots between 9 and 10.
More can be learned about the value of a expression at brainly.com/question/25537936
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