What is the name of the triangle
2 answers:
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Answer:
The solution in the attached figure
Step-by-step explanation:
we have
-----> inequality A
The solution of the inequality A is the shaded area at left of the solid line x=-3
----> inequality B
The solution of the inequality B is the shaded area below the solid line
The solution of the system of inequalities is the shaded area between the two solid lines
using a graphing tool
see the attached figure
Answer:
They're the same angle. I would look up transversals so you could understand it a bit more. I'll upload a picture of a transversal in my answer but you should search it anyways.
Anyways,
To solve, you set 160 equal to the other side.
160 = 3x + 10
150 = 3x
x = 50
Answer:
The correct option is;
C. 3. ∠BDE ≅∠BAC, Corresponding Angles Postulate 4. ∠B ≅ ∠B Reflexive Property of Equality
Step-by-step explanation:
The two column proof can be written as follows;
Statement, Reason
1. , Given
2. is a transversal , Conclusion from statement 1.
We note that ∠BDE and ∠BAC are on the same side of the transversal relative to the parallel lines, and are therefore, corresponding angles.
Therefore, we have;
3. ∠BDE ≅∠BAC, Corresponding Angles Postulate
Also
4. ∠B ≅ ∠B, Reflexive Property of Equality
In the two triangles, ΔABC and ΔDBE, we have ∠BDE ≅∠BAC and ∠B ≅ ∠B,
From ∠BDE + ∠B + ∠BED = 180°
∠BAC + ∠B + ∠BCA = 180°
Therefore, ∠BED = ∠BCA Substitution property of equality
Which gives;
5, ΔABC ~ ΔDBE, Angle Angle Similarity Postulate
6. BD/BA = BE/BC, Converse of the Side-Side-Side Similarity Theorem