Answer:
The Proof for "Equal chord of a circle subtends equal angle at the Center".
Step-by-step explanation:
Consider a Circle with center as C,
Radius AC ,BC ,DC and EC
Chord AB = Chord CD
To Prove:
"Equal chord of a circle subtends equal angle at center".
i.e ∠ACB = ∠ECD Which are Center angle
Proof:
In Δ ABC and Δ DEC
Chord AB ≅ Chord DE .….{Given}
AC ≅ DC …..{Radius of Same Circle}
BC ≅ EC ….{Radius of Same Circle}
Δ ABC ≅ Δ DEC ….{By Side-Side-Side Congruence Postulate}
∴∠ACB ≅ ∠ECD ...{Corresponding Parts of Congruent Triangles are Congruent or CPCTC} ....Proved
i.e Equal chord of a circle subtends equal angle at the Center.
Answer:
The answer is Seven plus Four A.
Answer:
1253.75 cubic inches
Step-by-step explanation:
volume of rectangular prism = l x w x h
just multitply all the numbers together
17*59*(5/4) = 1253.75
<span>each question is worth 4 points because if he missed 5 questions and 5*4 is 20 and 20 minus 100 is 80
</span>
G ( x ) = 2 - ( x - 7 )²
g ( x ) = 2 - ( x² - 14 x + 49 )
g ( x ) = 2 - x² + 14 x - 49
g ( x ) = - x² + 14 x - 47
The maximum of the function is at:
x= - b / 2 a
x = - 14 / ( - 2 ) = 7
Therefore the function is increasing form x ∈ ( - ∞, 7 ) and decreasing for x ∈ ( 7, +∞ ).
Answer:
C. increasing, x < 7; decreasing x > 7.