The sum of 3 consecutive even numbers is 408. what is the largest of the numbers

138

Step-by-step explanation:

Let the first number be x , the second number be x + 2 and the third number be x + 4 since they are consecutive even numbers.

Their sum implies:

x + x + 2 + x + 4 = 408

3x + 6 = 408

subtract 6 from both sides

3x + 6 - 6 = 408 - 6

3x = 402

divide through by 3

3x/3 = 402/3

Therefore x = 134.

The numbers are :

134 , 136 and 138 , this means that the largest number is 138

1: -2 3/4, -2 1/2, -14, 0, 3, 8 1/3

2: -4, -3, -2 1/2, -2 1/4, 3 1/4,

step-by-step explanation:

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.