Yx is perpendicular to wz at x between w and z. wxy=zyx and yw=yz which congruency statements (hl, aas, asa, sas, and sss) can you use to conclude that wxy=xy.

It is given that , In ΔW X Y, Y X is perpendicular to W Z. Also, y w= w z.

To Prove: ΔW X Y ≅ ΔZ Y X

Proof:

In Δ W X Y and Z Y X

Y X ⊥ W Z→→→→Given

Y W= Y Z→→(Given)

∠YWX=∠YZX→→As, opposite sides of a triangle are equal, so angle opposite to them are equal.

∠YXW=∠YXZ→→Each being 90°

So, ΔYXW≅ΔYXZ→→[AAS]

Also, YX is common sides between two triangles.

ΔYXW≅ΔYXZ→→[HL]

So,the two triangles can be proved congruent by either AAS, or HL.

she will sew have sewn five dresses   and be 1/3 done with the sixth one in an hour.

step-by-step explanation:

3/4 of an hour=45 mins

lucy makes 1 dress per 11.25 minutes

45 mins+11.25 mins=56.25 mins

60 mins- 56.25 mins=3.75 mins

3.75 mins is 1/3 of of 11.25 mins

therefore she the other 1/3 would be part of the hour and she will have sewn 5 dresses and begun the sixth.

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