A surveyor is measuring the distance across a river. He sets up two similar right triangles and finds that DE=2.4 meters and CD=7 meters. If ABC~EDC, then what is AB?
a) 7.2m
b)12m
c)15m
d)25m

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8

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.

yes

step-by-step explanation:

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