Josie had some money in her bank account. She went shopping and spent $493.98. After shopping she still had %185. How much money did she have in her bank account to begin?

$678.98

Step-by-step explanation:

Let the amount she had before she started spending be T. If she went shopping and spent $493.98 then the amount she would have is

= T - 493.98

Given that she has $185 left then

T - 493.98 = 185

Add 493.98  to both sides

T - 493.98 + 493.98 = 185 + 493.98

T = $678.98

She must have had $678.98 in her bank account to begin?

step-by-step explanation:

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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.