Answer:
The ladder reach a height 8.485 ft.
Step-by-step explanation:
The ladder with the building made right angle triangle
The length of the ladder is the hypotenuse 12 ft.
The angle between the ladder and the building is 45°
The height of the ladder reach is the vertical side of the Δ
∴ h = 12 cos 45° = 6√2 = 8.485 ft.
Answer: Maggie is 29 years old
Step-by-step explanation:
12*3=36
36-7=29
29 + 12 = 41
Before you will sum up the following equation, first you must multiply the first equation by two and came up with 16x+14y=78 and then add it to the second equation which is 4x-14y=-68 and the remaining variable is 20x=10 then get the value of X and the value is 1/2 or 0.5. I hope you are satisfied with my answer
Answer: Choice C) {6, 9, 12}
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Explanation:
Something like choice A can't form a triangle because the first two sides add to 6+9 = 15, which is <u>not</u> longer than the third side 15. We need to have x+y > z to be true. The same goes for choice B as well because 3+3 = 6 is too small compared to the third side 7. Choice D is similar to choice A.
In short, we can rule out choices A, B, and D.
The only thing left is choice C. Picking any two sides leads to having that sum be larger than the third side
- 6+9 = 15 which is larger than 12
- 9+15 = 24 which is larger than 6
- 6+15 = 21 which is larger than 9
So the conditions of the triangle inequality theorem work out here, and we have a triangle.
Answer:
The equation of the line is 
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
In which m is the slope and b is the y-intercept(the value of y when x = 0).
Perpendicular lines:
If two lines are perpendicular, the multiplication of their slopes is -1.
Line perpendicular to y = 4x + 4.
This line has slope 4, so our line will have slope:
So
Through (0, -3)
This means that 
So
