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Pie
3 years ago
6

(Geometry) Explain how you can use a straightedge and a compass to construct an angle that is both congruent and adjacent to a g

iven angle.
Mathematics
2 answers:
Gemiola [76]3 years ago
8 0

Answer:

Given an angle ABC with B as your center you should put the compass with center in B and make an arc with a length that is more than the double of the angle. There you have the intersections between the arc and the segments BA and BC lets say the intersections is D and E, you should open the compass from D to E and make an arc starting D which intersects the previous arc-lets say that intersection is F. Now you should draw a segment using the straight hedge which starts in B and passes through F and ends in a new point let's call that one G with a length similar to AB and BC. So now you have the angle ABG with the center as B which is adjacent and congruent to ABC.


zzz [600]3 years ago
6 0
<span>Use the straightedge to draw two parallel lines and then you draw a line that goes through them that is perpendicular. You then use the compass to measure the angles, they should be congruent and adjacent.

</span>Mark an arc through the sides of the angle. Let the arc intersect the rays at A and B. Continue the arc on past B for a distance. 

<span>Set the compass at B, and to the width of AB. </span>

<span>Still with the compass at B, mark an arc to intersect the first arc at C. </span>

<span>Now you have AB = BC. </span>

<span>Since the radius OA=OB=OC, angles AOB and BOC are congruent.</span>
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5x - 4(3x-5) = -3

5x -12x+20=-3

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x=3.29 (rounded)

Next, substitute x = 3.29 into the first equation, or to any equation you'd like, to find y.

y = 3x-5

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y = 9.87-5

y = 4.87

So, your final answer would be (3.29, 4.87).

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Usimov [2.4K]

Answer:

I think the answer is B. $12.55

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We assume all employees are either full-time or part-time.

36 = 24 + 12

If the number of full-time employees is 24 or less, the number of part-time employees must be 12 or more. (Thinking, based on knowledge of sums.)

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You can write the inequality in two stages.

  1. First, write and solve an equation for the number of full-time employees in terms of the number of part-time employees.
  2. Then apply the given constraint on full-time employees. This gives an inequality you can solve for the number of part-time employees.

Let f and p represent the numbers of full-time and part-time employees, respectively.

... f + p = 36 . . . . . . given

... f = 36 - p . . . . . . . subtract p. This is our expression for f in terms of p.

... f ≤ 24 . . . . . . . . . given

... (36 -p) ≤ 24 . . . . substitute for f. Here's your inequality in p.

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3 years ago
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marysya [2.9K]

Answer:

G = (y-x)/2

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G = 1/2 (mFE - mJH)

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2 years ago
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Answer:

A

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It is the term according to the formula;

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The max value here is 12

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