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Given 
/_B~=/_D and 
/_ACB~=/_ECD, find the length of segment 
AB to the nearest tenth.
2.0
1.7
5.4
9.6

Given BD \angle B \cong \angle D and ACBECD \angle A C B \cong \angle E C D , find the length of segment AB A B to the nearest tenth.\newline22.00\newline11.77\newline55.44\newline99.66

Full solution

Q. Given BD \angle B \cong \angle D and ACBECD \angle A C B \cong \angle E C D , find the length of segment AB A B to the nearest tenth.\newline22.00\newline11.77\newline55.44\newline99.66
  1. Given Angles: Given BD\angle B \cong \angle D and ACBECD\angle ACB \cong \angle ECD, we can use the properties of similar triangles to find the length of ABAB.
  2. Proportional Sides: Since the angles are congruent, the corresponding sides are proportional. Let's set up the proportion using the sides of the triangles.
  3. Setting up Proportion: Let AB=xAB = x, then we can write the proportion as (AB/BC)=(DE/EC)(AB/BC) = (DE/EC).
  4. Insufficient Information: We don't have the lengths of BCBC, DEDE, or ECEC, so we can't solve the proportion. We need more information to find the length of ABAB.

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