The mean of 6 numbers is 10.The mean of two of the numbers is 12.What is the mean of the other numbers?

Explanation:

We have 6 numbers total we're working with

S = sum of the all six numbers

m = mean of the all six numbers = 10

m = S/6

6m = S

S = 6m

S = 6*10

S = 60

All six numbers add to 60.

T = sum of two of the numbers

n = mean of two of the numbers = 12

n = T/2

T = 2n

T = 2*12

T = 24

Two of the numbers add to 24.

U = sum of the other four values

p = mean of the other four values

p = U/4

U = 4p

The other four values add to 4p

We found that the first two items add to 24, and the remaining 4 items add to 4p. The grand total sum is 24+4p or 4p+24.

In the first section, we found that all six items add to S = 60

So,

4p+24 = 60

4p = 60-24

4p = 36

p = 36/4

p = 9

The mean of the other four numbers is 9.

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