(SAT Prep) In the given figure, a ∥ b. Find the value of z. A. 50° B. 90° C. 45° D. 75°

C. 45°

Step-by-step explanation:

Reviewing the triangle, the sum of the angle in a triangle is 180°. Hence the third angle in the triangle will be

= 180° - (x + y)°

The sum of angles on a straight line is 180° hence

180° - (x + y)° + z + z = 180

2z = x + y

Furthermore,

2y + 2x = 180

y + x = 90

Hence 2z = 90

z = 90/2

= 45°

umumumumum

im not sure

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