Answer:
Inequality Form: m > 7/12
Interval Notation: (7/12, ∞)
Answer:
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Step-by-step explanation:
Answer: Angle ABC = 60, angle CBD = 120 and angle GFH = 60
Step-by-step explanation: Line ABD is parallel to line EFG. Line line CFH is a straight line that cuts across both parallel lines. Therefore, angle FBD and angle HFG are corresponding angles. That means angle FBD equals 3x. Also 3x plus 6X equals 180. That is,
3x + 6x = 180 {Sum of angles on a straight line equals 180}
9x = 180
Divide both sides of the equation by 9
x = 20.
That means angle 6x measures 6(20) and that is 120 degrees.
Also angle 3x measures 3(20) and that is 60 degrees.
Angle ABC + Angle CBD = 180 {Sum of angles on a straight line equals 180}
Angle ABC + 120 = 180
Angle ABC = 180 - 120
Angle ABC = 60
Also angle CBD equals 6x, and x = 20. Therefore angle CBD = 6 x 20
Angle CBD = 120.
And then, angle GFH = 3x, and x equals 20. Hence angle GFH = 60.
Therefore angle ABC = 60, angle CBD = 120 and angle GFH = 60.
The distance from the satellite to the Earth's horizon is 6398 km
<h3>
Pythagoras theorem</h3>
Pythagoras theorem is used to show the relationship between the sides of a right angled triangle. It is given by:
Hypotenuse side² = Adjacent side² + Opposite side²
Let x represent the distance from the satellite to the Earth's horizon
Hence:
- x² = 6370² + 600²
- x² = 40936900
- x = 6398 km
The distance from the satellite to the Earth's horizon is 6398 km
Find out more on Pythagoras theorem at: brainly.com/question/343682
Answer:
Slope = 4/3x; y-intercept = -1
Step-by-step explanation:
y + 1 = 4/3x
You have to write this equation in slope-intercept form (solve for y) if you want to find the slope and y-intercept
y + 1 = 4/3x
Subtract one from both sides
y + 1 - 1 = 4/3x - 1
y = 4/3x - 1
Now that we have the equation, you can now find the slope and y-intercept
y = mx + b; m is the slope and b is the y-intercept
So for y = 4/3x - 1, the slope is 4/3x and the y-intercept is -1
