Classify the system of equations 1/3x+y+5=0 1/2x+y-3=0
1 answer:
Answer: Consistent and Independent.
Step-by-step explanation:
1. To solve this problem and classify the system of equations shown above, you can graph it has you can see in the graph attached.
2. As you can observe in the graph the lines intersect each other, this means that the system of equation has one solution.
3. By definition, when a system of equations has one solution, it is classified as Consistent and Independent.
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Answer:
m∠ACE = 40°
Step-by-step explanation:
Consider the below figure attached with this question.
Given information: arc BD = 25°, minor arc AB = 115°, and minor arc DE = 115°.
We need to find the measure of ∠ACE.
minor arc AB + minor arc BD + minor arc DE + minor arc AE = 360°
115° + 25° + 115° + minor arc AE = 360°
255° + minor arc AE = 360°
minor arc AE = 360° - 255°
minor arc AE = 105°
The measure of minor arc AE is 105°.
Using Intersecting secants outside the circle theorem
Angle between two secants = (Major arc - Minor arc)
Therefore, the measure of ∠ACE is 40°.
