Choosing a vowel from the word counting and a consonant from the word Prime then give the total number of outcomes

9

Step-by-step explanation:

Total letters in word 'COUNTING'=8

Number of vowels in word 'COUNTING'=3(O,U,I)

Total letter in word 'PRIME'=5

Number of consonants in word 'PRIME'=3(P,R,M)

We have to find the total number of outcomes.

Number of choice for O=3(P,R,M)

Number of choice for U=3(P,R,M)

Number of choice for i=3(P,R,M)

Number of outcomes of choosing a vowel from the word 'COUNTING' and a consonant from the word 'PRIME'=3+3+3

Total number of outcome=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

3

step-by-step explanation:

because where the point where the 2 lines intersect is (3,-1) the x value is 3