Jeffrey was given a directed line segment and was asked to use a compass and straightedge to construct the point that divides the segment in the ratio 18 to 9. He said he would have to draw a ray and then construct 27 congruent segments along the ray. Tamara said it is not necessary to construct 27 congruent segments along the ray. Do you agree? If so, explain Tamara's shortcut. If not, explain why not.

[A.) No, I don't agree B.) Yes, I do agree ] as the ratio 18 to 9 is equivalent to the ratio ___ to 1.Therefore, it is only necessary to construct congruent segments along the ray.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

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

company a

step-by-step explanation:

using the linear regression models , it is found that company a   pays about $14 more. but using the same regression (linear) company b pays about $10 more.

so company a pays more than b