1/2 (2x + 1) = 3
Solve for x

To solve for x, you need to isolate/get the variable "x" by itself in the equation:

  Multiply the reciprocal of 1/2 on both sides, which is 2/1 or 2

2x + 1 = 6        Subtract 1 on both sides

2x + 1 - 1 = 6 - 1

2x = 5         Divide 2 on both sides to get "x" by itself

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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.