When 25 students went to washington dc 18 of them visited the museum of natural history and 22 visited the natural air and space museum. how many students visited both museums.

15 students visited both museums.

Step-by-step explanation:

Operations With Sets

Sets are a collection of elements. Some sets have elements in common with other sets. These elements are said to be in their intersection. If we know the number of elements in the set A and in the set B, and also the total number of elements in both sets, we can say

where is the total number of elements, N(A) and N(B) are the number of elements in A and B respectively, and is the number of elements in their intersection. If we wanted to know that last number, then we isolate it

Let A= Students who visited the museum of natural history

B=Students who visited the natural air and space museum

We know

15 students visited both museums.

Note: We are assuming no students didn't visit at least one museum

£56

step-by-step explanation:

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