Reading the question carefully, "<span>He draws the diameter of the circle through center P using a straight edge. Next he opens his compass to a width equivalent to the radius of the circle." - that implies that Mateo is still in the process of drawing the circle by which the equilateral is inscribed to.
The next steps should be:
*He should draw the upper and lower arcs using the compass opened to a width equivalent to the radius of the sircle.
*Make a vertical diameter using centroid P as basis.
*Draw two right triangles facing the opposite directions using the top most point by which the vertical diameter of the circle touches the top most circumference of the circle.
Doing these steps, Mateo will be able to draw an equilateral triangle inscribed in a circle.
</span>
You are asking for the condition needed for the
<span>two segments to be perpendicular to each other. </span>
<span>If the slope of one segment is m, then the slope of a perpendicular segment would be -1/m </span>
<span>this means that m2 = -1/m and so m2 x m = -1 </span>
<span>If you look carefully at your choices, the 3rd answer involves the two slope and has the -1. It's </span>
<span>the correct answer.</span>
Answer: -21.125 or -21 1/8 degrees
Explanation: Divide the number of degrees (-169) by the amount of time it was snowing (8) to get the answer (-21.125).
-169÷8=-21.125
The probability of 3 failures or less is about 0.83886, so that is the probability the machine will be working.
Answer:
x = 51
Step-by-step explanation:
The sum of internal angles for this rectangle is 360
x + 81 + 124 + 104 = 360 add like terms
x + 309 = 360 subtract 309 from both sides
x = 51