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katrin2010 [14]
3 years ago
14

Which statement and reason accurately completes the proof? 3. ∠BDE ≅ ∠BAC; Corresponding Angles Postulate 5. ΔBDE ~ ΔBAC; Angle-

Angle (AA) Similarity Postulate 3. ΔBDE ~ ΔBAC; Corresponding Angles Postulate 5. ∠BDE ~ ∠BAC; Angle-Angle (AA) Similarity Postulate 3. ∠BDE ≅ ∠BAC; Congruent Angles Postulate 5. ΔBDE ~ ΔBAC; Angle-Angle (AA) Similarity Postulate 3. ∠BDE ≅ ∠BAC; Congruent Angles Postulate 5. ΔBDE ~ ΔBAC; Side-Angle-Side (SAS) Similarity Postulate

Mathematics
1 answer:
ElenaW [278]3 years ago
5 0

Answer:

3. ∠BDE ≅ ∠BAC; Corresponding Angles Postulate 5. ΔBDE ~ ΔBAC; Angle-Angle (AA) Similarity Postulate

Step-by-step explanation:

3) Statement  ∠BDE ≅ ∠BAC;

Corresponding Angles Postulate

The Corresponding Angles Postulate states that given two parallel lines, in this case DE and AC cut by a transversal one (AB) than these corresponding angles are congruent.

5) ΔBDE ~ ΔBAC; Angle-Angle (AA) Similarity Postulate

If two pairs of corresponding angles are congruent (∠D and ∠A, ∠E and ∠C) than these triangles are similar.

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allochka39001 [22]

Answer:

<h3>x = (-2)</h3><h3>y = 2</h3>

Step-by-step explanation:

2x + 3y = 6________( 1 )

-3x + 5y = 10_______( 2 )

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(4)  +  (3) \\ 6x + 9y  +  ( - 6x + 10y) = 20 - 18 \\ 6x + 9y  -  6x - 10y = 2 \\ y = 2

y = 2 ,

2x + 3y = 6 \\ 2x + 3(2) = 2 \\ 2x + 6 = 2 \\ 2x = 2 - 6 \\ 2x =  - 4 \\x =  \frac{ - 4}{2}  \\ x = ( - 2) \\

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2 years ago
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FrozenT [24]
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