The 11th grade class at Red Hook high school was surveyed about the types of music they liked. Of those surveyed, 64% said they liked pop music and 52% said they liked rap music. If 38% said they liked both pop and rap, what percent of those surveyed liked neither?
a 36%
b 31%
c 27%
d 22%

22% of those surveyed liked neither pop nor rap music.

Step-by-step explanation:

It is given that,

The 11th grade class at Red Hook high school was surveyed about the types of music they liked.

We know that, the total survey is 100%.

To find the percent of those surveyed liked neither of the music :

Let x be the percentage of those liked neither pop or rap music.

The formula used here is ,

Total = Pop + rap - Both + neither.

⇒ 100% = 64% + 52% - 38% + x

⇒ 100% = 78% + x

⇒ 100% - 78% = x

⇒ x = 22%

Therefore, 22% of those surveyed liked neither pop nor rap music.

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

according to egenuity the answer is

step-by-step explanation:

d. 344.22