Kira new chatted online with all her friends for 2/3 of a hour on Saturday and 1/4 of an hour on Sunday. She chatted with Penelope for 1/8 of the time. Which fraction of an hour did Koran apes chatting with Penelope?

of an hour.

Step-by-step explanation:

Given:

Koran new chatted online with all her friends on Saturday for  = 2/3 of a hour.

Koran new chatted online with all her friends on Sunday for  = 1/4 of an hour.

She chatted with Penelope for = 1/8 of the total time.

Question asked:

Which fraction of an hour did Koran apes chatting with Penelope ?

Solution:

Koran new chatted online with all her friends on Saturday for = of an hour

Koran new chatted online with all her friends on Sunday for = of an hour

Total time of chatting =

                                    =       ( By taking LCM of 3 and 4 we get 12 )

                                    = of an hour

Now, She chatted with Penelope for = of an hour

Therefore, Koran chat of an hour with Penelope.

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