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in △abc, ∠b = 90°, bh = ah, and the ratio of m∠a to m∠c is 1: 2. find m∠bha?
a. 100°
b. 90°
c. 120°
d. 60°

C. 120°

Step-by-step explanation:

Let angle A be x, then angle C is 2x

The sum of the angles in ABC is

A + B+ C = 180

x+90 +2x = 180

3x +90 = 180

3x= 90

Divide by 3

x = 90/3

x = 30

Angle A = 30,  Angle C = 2x = 60

AH = BH, so it is an isosceles triangle .  That means A and ABH are equal

A = 30 , ABH = 30

The sum of the angles in ABH must equal 180

A + ABH + BHA = 180

30 + 30 + BHA = 180

60 + BHA = 180

BHA = 180-60

BHA = 120

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

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,