• Corresponding Angles Theorem
• Corresponding Angles Converse Theorem
• Same-Side Interior Angles Theorem
• Same-Side Interior Angles Converse Theorem
• Alternate Interior Angles Theorem
• Alternate Interior Angles Converse Theorem
• Same-Side Exterior Angles Theorem
• Same-Side Exterior Angles Converse Theorem
• Alternate Exterior Angles Theorem
• Alternate Exterior Angles Converse Theorem
• Perpendicular/Parallel Line Theorem
Answer:
1a Alternate exterior angles theorem
1b Alternate interior angles theorem
1c Alternate interior angles converse theorem
1d Corresponding angles theorem
1e Same-side interior angles theorem
1f Same-side exterior angles theorem
1g Same-side interior angles converse theorem
Step-by-step explanation:
Look at the given angles and see what they are: interior, exterior, alternate, same side, etc.
If the lines are given as parallel, use the theorem.
If you show the lines are parallel, use the converse.
1a Alternate exterior angles theorem
1b Alternate interior angles theorem
1c Alternate interior angles converse theorem
1d Corresponding angles theorem
1e Same-side interior angles theorem
1f Same-side exterior angles theorem
1g Same-side interior angles converse theorem
Answer:
y=6/5x+2
Step-by-step explanation:
1.find the slope(m)
m=y2-y1/x2-x1
m=14-(-4)/10-(-5)
m=14+4/10+5
m=18/15
m=6/5
y-y1=m(x-x1)
y-(-4)=6/5(x-(-5))
y+4=6/5(x+5)
y+4=6/5x+30/5
y=6/5x+30/5-4
y=6/5x+10/5
y=6/5x+2
Answer:
False
Step-by-step explanation:
Since the inequality uses the greater than symbol >
Then the line drawn should be a broken line.
If the inequality had ≥ ( greater than or equal to )
Then the line would be solid.
the guy above is correct
The answer is: False
Answer:
Step-by-step explanation:
In the context of the example, this means that the side length of the square removed from each corner must be less than 2 inches or between 2 and 5 inches for the volume of the box to be greater than or equal to 80 cubic inches. This helps determine the range of valid values for
x to achieve the desired volume for the box.
Final Answer:
The solution to the inequality V(x) ≥ 80 is x ≥ 3.5 inches.
Explanation:
To solve the inequality V(x) ≥ 80, we set the equation 4x³ - 44x² + 120x ≥ 80 and simplify. This simplifies to x³ - 11x² + 30x - 20 ≥ 0, which can be factored as (x - 3.5)(x - 2)(x - 2.857) ≥ 0. Since x represents the side length of the squares removed from the corners, it cannot be negative, so we focus on the values of x that make the expression on the left side of the inequality greater than or equal to zero. This leads us to the solution x ≥ 3.5 inches.
In the context of the example, when the side length of the squares removed from each corner is 3.5 inches or larger, the resulting box has a volume greater than or equal to 80 cubic inches. This means that to achieve a box with a volume of at least 80 cubic inches, you need to remove squares with sides of at least 3.5 inches.
Learn more about inequality
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the domain.
Answer:The domain of a function is the set of input values of the function.
The domain of the function is: [0,18]
The average rate of change across the domain is -3.33
Step-by-step explanation:From the graph, we have the following highlights.
The graph starts from the origin
The graph ends at x = 18
So, the domain of the function is: [0,18]
The average rate of change is calculated as:
From the graph, we have:
So, we have:
This gives
Hence, the average rate of change across the domain is -3.33
Read more about exponential functions at:
(3b − 4x)(3a − 2)
(3b + 4x)(3a − 2)
(3b + 4x)(3a + 2)
Answer:
C: (3b + 4x)(3a − 2) is the correct answer.
Step-by-step explanation: