Which table shows input and output values that represent a linear function? Table A

Table B

Table C

Table D

Table A

Step-by-step explanation:

In order for it to be a linear relationship, the change in the x values and y values (f(x)) needs to be consistent.

In every table, the x values change the same, so we can focus on the y values.  

Notice in table A, the f(x) values go down consistently by 10 for every change in x.  

All of the other tables are not consistent.  

Therefore, table A is the only linear function.

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