In which diagram are angles 1 and 2 vertical angles?
2 answers:
In diagram 1, angles 1 and 2 represent vertical angles.
Further Details:
Vertical angles are defined as opposing angles created when two lines intersect.
Acute angles are those with a measure less than .
Clarification:
In the first diagram, angles 1 and 2 are vertically opposite since they are positioned opposite each other.
In the second diagram, angles 1 and 2 do not qualify as vertical angles because they are still opposite to each other.
Similarly, in the third and fourth diagrams, angles 1 and 2 do not classify as vertical angles as they remain opposite each other.
Hence, in diagram 1, angles 1 and 2 are identified as vertical angles.
Learn more:
1. Explore the inverse of functions .
2. Understand circle equations .
3. Study domain and range for functions .
Answer Summary:
Grade: Middle School
Subject: Mathematics
Chapter: Angles
Keywords: vertical angle, opposite angle, angles, alternate angles, linear pairs, corresponding angles.
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Answer:
10
Step-by-step explanation:
If there’s a direct correlation between variables x and y, it can be expressed as
y = kx,
where y is the dependent variable
x is the independent variable
k signifies the constant of variation
_____________________________
For the first scenario
y = 400
x = r
using y = kx, we can derive the relation:
400 = kr
To find k here:
k = 400/r
For the second scenario
y = r
x = 4
again using y = kx, the relationship is given by:
r = 4k
Solving for k:
k = r/4
Since both conditions provide the same equation, k will have the same value in both cases.
Thus, we conclude:
400/r = r/4
=> 400*4 = r*r
=> 1600 = r^2
Hence, r is calculated to be 40.
Thus, k = r/4 = 40/4 = 10.
The constant of variation is confirmed to be 10, which is the correct answer.
Verification:
k = 400/r = 400/40 = 10