Which graph shows the solution to the system of linear inequalities? x – 4y < 4 y < x + 1 Image for option 1 Image for opt
ion 2 Image for option 3 Image for option 4
1 answer:
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
----> inequality A
solve for y
The solution of the inequality A is the shaded area above the dashed line
The slope of the dashed line is positive
The y-intercept is the point
The x-intercept is the point
----> inequality B
The solution of the inequality B is the shaded area below the dashed line
The slope of the dashed line is positive
The y-intercept is the point
The x-intercept is the point
Using a graphing tool
The solution of the system of inequalities in the attached figure
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Answer:
Therefore, the two options for triangles to be congruent using AAS are
1. BC ≅ MQ (Additional information)
2. AC ≅ RQ (Additional information)
Step-by-step explanation:
Given:
∠CAB =∠MRQ = 29°
∠ABC = ∠RMQ = 116°
To Prove:
Δ ABC ≅ ΔRMQ by AAS congruence test which additional information is required
Proof:
<u>Case 1.</u>
In Δ ABC and Δ RMQ
∠CAB =∠MRQ = 29° ……….{Given}
∠ABC = ∠RMQ = 116° ..……..{Given}
BC ≅ MQ ……….{Additional information required}
Δ ABC ≅ Δ RMQ ….{By Angle-Angle-Side congruence test}
<u>Case 2.</u>
In Δ ABC and Δ RMQ
∠CAB =∠MRQ = 29° ……….{Given}
∠ABC = ∠RMQ = 116° ..……..{Given}
AC ≅ RQ ……….{Additional information required}
Δ ABC ≅ Δ RMQ ….{By Angle-Angle-Side congruence test}
Therefore, the two options for triangles to be congruent using AAS are
1. BC ≅ MQ (Additional information)
2. AC ≅ RQ (Additional information)
