An architect plans to draw a rectangular patio with segment LM representing one side of the rectangle. He wants to construct a l
ine passing through Q and parallel to side LM. He uses a straightedge and compass to complete some steps of the construction as shown.
Which of these is likely to be his next step in constructing the parallel line?
A. Without changing the width of the compass, place the compass at Q and draw an arc similar to the one drawn.
B. the compass at N and adjust the width to the widest point on arc PS.
C. Without changing the width of the compass, place the compass at S or P and draw an arc similar to the one drawn.
D. Place the compass at N and adjust the width to a length that is greater than the length of segment NS.
Which of these is likely to be his next step in constructing the parallel line?
A. Without changing the width of the compass, place the compass at Q and draw an arc similar to the one drawn.
B. the compass at N and adjust the width to the widest point on arc PS.
C. Without changing the width of the compass, place the compass at S or P and draw an arc similar to the one drawn.
D. Place the compass at N and adjust the width to a length that is greater than the length of segment NS.
2 answers:
Answer with explanation:
In the figure Line segment L M is drawn.
Draw Ray NQ passing through Passing through N , which lies on line segment LM.
Placing the Compass nib on the point N,and then Draw an arc cutting line LM at point S and ray NQ at point P.------(1)
To draw a line parallel to line LM
Keeping the Width of Compass Same, place the compass at Q, and draw an arc similar to arc drawn in step 1 alternate to ∠QNM. Suppose it cuts ray NQ at point A,from A mark an arc on the semicircle drawn,suppose the arc cuts the semicircle at point G.Draw segment QG,passing through Q and G.
Option A. Without changing the width of the compass, place the compass at Q and draw an arc similar to the one drawn.
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Imagine you're moving along the segment. Since the midpoint is in the middle of the segment (obviously), it means that when you've traveled from G to A, you're halfway through your journey, along both x and y directions. So, let's break the problem in two and analyze both directions.
Along the x axis, you've moved from -3 to 1, so you moved 4 units forward. This means that you have 4 units still to go, and your journey will end at coordinate 5.
Similarly, along the y axis, you've moved from 5 to -4, so you moved 9 units downward. This means that you have 9 units still to go, and your journey will end at coordinate -13.
So, the coordinates of the endpoint are
If you prefer a more analyitical approach, simply write the definition of the midpoint and solve it for the coordinates of T.
We have and
. The midpoint is computed as
So, you have the equations
Multply both equations by 2 to get
Move the constants to the right hand sides to get
Answer:
D. .
Step-by-step explanation:
Given:
We need to reduce by
Solution:
To reduce the equation means we need to subtract the one equation from other.
First we will arrange the equation n proper format we get;
⇒ equation 1
Also Arranging other equation we get;
⇒ equation 2
Now we will subtract equation 2 from equation 1 we get;
Now Applying distributive property for the sign we get;
Now Arranging the like terms we get;
Hence the reduce form of the given equation is .