Given:
A diagram.
To find:
An angle that is supplementary to ∠KFA.
Solution:
Supplementary angle: Two angles are called supplementary angles if they are lie on the same side of a straight line and their sum is 180 degrees.
From the given diagram, it is clear that ∠KFA lies on the intersection of lines HL and IK.
∠KFA and ∠DFA lie on the same side of a straight line IK.
∠KFA and ∠KFL lie on the same side of a straight line HL.
So, ∠DFA and ∠KFL are the angles supplementary to ∠KFA.
We need only one supplementary angle. So, we write either ∠DFA or ∠KFL.
Therefore, an angle that is supplementary to ∠KFA is ∠KFL.
Answer:
Step-by-step explanation:
If the ellipse has its x-intercepts at points (2, 0) and (-2, 0) and y-intercepts at points (0, 4) and (0, -4), then its symmetric across the y-axis and across the x-axis.
Moreover,
The equation of such ellipse is
Hence, the equation of the ellipse is
The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7
Step-by-step explanation:
The parallel lines have:
- Same slopes
- Different y-intercepts
The form of the linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept
∵ The equation of the given line is y = 5x + 4
∴ m = 5 and b = 4
∵ The two lines are parallel
∴ Their slopes are equal
∴ The slope of the parallel line = 5
- Substitute the value of the slope in the form of the equation
∴ y = 5x + b
- To find b substitute x and y in the equation by the coordinates
of any point on the line
∵ The parallel line passes through point (-1 , 2)
∴ x = -1 and y = 2
∵ 2 = 5(-1) + b
∴ 2 = -5 + b
- Add 5 to both sides
∴ 7 = b
- Substitute the value of b in the equation
∴ y = 5x + 7
The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7
Learn more:
You can learn more about the equations of the parallel lines in brainly.com/question/9527422
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I’m sure your answer is D. 180 - 125 will get you 55.!
Have a nice day!
Answersin -> 48
Step-by-step explanation:
solve for the length of the horizontal line by doing:
sin(55)=x/58
rearrange: x = sin(55) times 58 = 47.51
round UP to 48
