Answer:
Perpendicular Bisector Theorem
Step-by-step explanation:
A line congruent with the line connecting the two stakes must be made. This line should ideally be perpendicular, which would allow the individual to trace the position of his third stake.
In a triangle, the ratio between two sides is equal to the proportion of the parts in which the third side is divided by the bisector of the opposite inner angle.
In the attached image, it would be necessary to generate the line at point A, to the third point W. In such a way that AHW, is perpendicular to WAM.
Answer:
(x + 7)² = 0
Step-by-step explanation:
Given
x² + 14x + 49 = 0 ( subtract 49 from both sides )
x² + 14x = - 49
To complete the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(7)x + 49 = - 49 + 49
(x + 7)² = 0
Answer:
81.87°
Step-by-step explanation:
The angle a line makes with the x-axis is equal to the arctangent of its slope. Here, L1 makes an angle of arctan(0.5) = 26.57° with the x-axis; L2 makes an angle of arctan(-3) = -71.57° with the x-axis. The difference between these angles is ...
26.57° -(-71.57°) ≈ 98.13° . . . . . . all numbers rounded to 2 decimal places
This is an obtuse angle, so the acute angle is ...
180° -98.13° = 81.87°
_____
You can also use the trig formula for the difference of angles. Tan(α) is the slope of the first line, 0.5. Tan(β) is the slope of the second line, -3.
tan(α-β) = (tan(α)-tan(β))/(1 +tan(α)tan(β))
tan(angle) = (0.5 -(-3))/(1 +(0.5)(-3)) = 3.5/(-0.5) = -7
angle = arctan(-7) = -81.87°
The angle between the two lines is 81.87°.
Answer:
range of the test scores is 48
Step-by-step explanation:
60,72,94,108
108- 60=48