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angle ABC is 48⁰

Step-by-step explanation:

angle BCD will be 111⁰ it will be equal to DAB.

111+111+90=312⁰

kite is a quadrilateral so its angles add up to 360⁰

360-312=48⁰

Step-by-step explanation:

ΔA = ΔC = 111° (kite property-opposite Δ equal)

ΔD = 90° ( given )

ΔA + ΔB + ΔC + ΔD = 360°

111° + ΔB + 111° + 90° = 360°

312° + ΔB = 360°

ΔB = 360° - 312°

ΔB = 48°

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204