-√5/2+√5+1
-√5/2+2√5/2+1
√5/2+1
(√5+2)/2
Answer:
Becky, because her justification for the second statement should be "definition of supplementary angles" rather than "angle addition postulate."
Step-by-step explanation:
Becky completed the proof incorrectly because her justification for the second statement is not totally correct.
Angle addition postulate does not really apply here, as the sum of 2 angles may not give you exactly 180°.
However, the second statement, m<AKG + m<GKB = 180° and m<GKB + m<HKB = 180°, can be justified by the "Definition of Supplementary Angles".
The sum of supplementary angles = 180°.
Therefore, Becky completed the proof incorrectly.
Answer:
1) a = -⅙, b = ⅙, c = 1
2) 6 units
Step-by-step explanation:
1) f(x) = ax² + bx + c
Given the roots, we can write this as:
f(x) = a (x + 2) (x − 3)
We know that f(13) = -25, so we can plug this in to find a:
-25 = a (13 + 2) (13 − 3)
-25 = 150a
a = -⅙
Therefore, the factored form is:
f(x) = -⅙ (x + 2) (x − 3)
Distributing:
f(x) = -⅙ (x² − x − 6)
f(x) = -⅙ x² + ⅙ x + 1
Graph: desmos.com/calculator/6m6tjoodvb
2) Volume of a right prism is area of the base times the height.
V = Ah
The base is an equilateral triangle. Area of a triangle is one half the base times height.
V = ½ ab h
The height of the triangle is the same as the height of the prism.
V = ½ bh²
In an equilateral triangle, the height is equal to half the base times the square root of 3.
V = ½ b (½√3 b)²
V = ⅜ b³
Given that V = 81, solve for b.
81 = ⅜ b³
216 = b³
b = 6
Answer: they all are congruent
b n/a c n/a
Step-by-step explanation:
Answer:
27,040,000 = 27,040,000
Step-by-step explanation:
