Which of these systems of equations has no solution? A 3a−5b=12 4a−9b=14 B 3a−5b=14 4a−9b=14 C 4a−9b=12 4a−9b=12 D 4a−9b=12 4a−9
b=14
1 answer:
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Answer: 53
Step-by-step explanation: To get the answer we have to use the pythagorean theorem.
a² + b² = c²
28² + 45² = c²
784 + 2025 = c²
2809 = c²
c = 53
I hope this helps!
For Jordy to prove that ΔABE ≅ ΔBCD, at least one side in triangle ΔABE
should be congruent to the corresponding side in ΔBCD.
The correct option is choice B
- (B) <u>Jordy only established some of the necessary conditions for a congruency criterion</u>.
Reasons:
Statement Reason
1∠BCD ≅ ∠ABE 1. Given
2. ∠CDB ≅ ∠BEA 2. Given
3.
3. Given
4. ∠CBD ≅ ∠BAE 4. Corresponding angles on parallel lines are congruent
5. <em>ΔABE ≅ ΔBCD </em><em> 5. Angle-angle-angle congruence</em>
<em />
The rules for congruency of two triangles are; SSS, SAS, ASA, AAS, and RHS.
The above acronyms stand for;
- SSS: Side-Side-Side congruency postulate; The three sides of each triangle are congruent
- SAS: Side-Angle-Side congruency postulate; Two sides and an included angle in one triangle are congruent to two sides and an included angle in another triangle.
- ASA: Angle-Side-Angle congruency postulate; Two angles and an included side are congruent in both triangles.
- AAS: Angle-Angle-Side congruency postulate; Two angles and a non included side are congruent in both triangles.
- RHS: The hypotenuse and one side in two right triangles are congruent
Therefore;
Jordy only established the congruency of the angles which are some of
the necessary conditions for congruency criterion. A side in ΔABE should
also be congruent to a corresponding side in ΔBCD in order to complete
the criteria for congruency.
Learn more about congruency rules here: