The average age of three people running for election is 42. A fourth person joins the race and the average drops to 40. What is the fourth person's age?
A. 32
B. 34
c. 35
D36
E. 40

B - 34 years old

Step-by-step explanation:

First you have to multiply 42 times 3 to find the total age of the three people. Then multiply 40 times 4 to find the age of the four people in all. Subtract.

42 × 3 = 126

40 × 4 = 160

160 - 126 = 34

∠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.

include a picture of the drawing in order for me to

step-by-step explanation: