During a blind taste test of 8 different sodas, some people were asked to choose
a favorite. Each dot represents one person.
Taste Test
.
A
B
С
F
G
H
D E
Soda
If the ratio of people choosing B to people
choosing H stays the same, how many
people will choose H if the number of people
who choose B increases to 20?
F 6
G4
H5
J 3

the answer is 5

Step-by-step explanation:

the ratio is 4:1 so if you increase B to 20 you divide by 4 to get 5.

20:5=4:1

muyb ajo

step-by-step explanation:

jegosu

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.