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Julli [10]
3 years ago
9

Which theorem, term, or corollary is represented by the picture? The bold lines in the pictures represent the hypothesis of the

theorem or corollary.
A. Corollary to the isosceles triangle theorem

B. Corollary to the converse of the isosceles triangle theorem

C. CPCTC

D. Isosceles triangle theorem

E. Converse to the isosceles triangle theorem

Mathematics
1 answer:
pshichka [43]3 years ago
3 0

Answer:

Pictured is the equilateral triangle with 3 sides and 3 angles being same

This should be equilateral triangle theorem, but it is not captured by answer choices

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Step-by-step explanation:

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Find the average value of the function f(x, y, z) = 5x2z 5y2z over the region enclosed by the paraboloid z = 9 − x2 − y2 and the
Katyanochek1 [597]
The paraboloid meets the x-y plane when x²+y²=9. A circle of radius 3, centre origin. 

<span>Use cylindrical coordinates (r,θ,z) so paraboloid becomes z = 9−r² and f = 5r²z. </span>

<span>If F is the mean of f over the region R then F ∫ (R)dV = ∫ (R)fdV </span>

<span>∫ (R)dV = ∫∫∫ [θ=0,2π, r=0,3, z=0,9−r²] rdrdθdz </span>

<span>= ∫∫ [θ=0,2π, r=0,3] r(9−r²)drdθ = ∫ [θ=0,2π] { (9/2)3² − (1/4)3⁴} dθ = 81π/2 </span>


<span>∫ (R)fdV = ∫∫∫ [θ=0,2π, r=0,3, z=0,9−r²] 5r²z.rdrdθdz </span>

<span>= 5∫∫ [θ=0,2π, r=0,3] ½r³{ (9−r²)² − 0 } drdθ </span>

<span>= (5/2)∫∫ [θ=0,2π, r=0,3] { 81r³ − 18r⁵ + r⁷} drdθ </span>

<span>= (5/2)∫ [θ=0,2π] { (81/4)3⁴− (3)3⁶+ (1/8)3⁸} dθ = 10935π/8 </span>

<span>∴ F = 10935π/8 ÷ 81π/2 = 135/4</span>
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3 years ago
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Is it a multiple choice question?
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3 years ago
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victus00 [196]

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29x+8 is the answer

Step-by-step explanation:

12x-4+17x+8

=12x+17x-4+8

=29x+8

Hope it will help ^_^

7 0
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dlinn [17]

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60/100

Step-by-step explanation:

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