Sam is designing a fence post for his yard. he will need to construct a perpendicular line through the point above the line to make sure the fence post is perpendicular to the ground. which step should sam do first to ensure that the fence post model is perpendicular to the ground in the diagram? a. place the compass at the point off the ground, and swing an arc on either side of the point. b. place the compass at the point off the ground, and swing arcs above and below the ground. c. place the compass at the point off the ground, and swing an arc that intersects the ground in one place. d. place the compass at the point off the ground, and swing an arc that intersects the ground in two places.

The step that Sam must take first in order to make sure that the post of the fence is ⊥ to the bottom of the ground would be:

D). "Place the compass at the point off the ground, and swing an arc that intersects the ground in two places."

Learn more about 'arcs' here:

link

Step-by-step explanation:

D is correct.  The idea here is to ensure that the point on the post is equidistant from the bottom of the post (where it meets the ground), which in turn ensures that the angle between ground and post is 90° in at least two places on the ground.

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

the ratios are reciprocals im positive

step-by-step explanation:

they are all positive numbers so it wouldn't be the other ones