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-BARSIC- [3]
3 years ago
11

Michael is constructing a circle circumscribed about a triangle. He has partially completed the construction. What should be his

next step in the construction?
Triangle DEF is shown with two sets of intercting arc markings on either side of side EF. A line segment is drawn through each set of intersecting arc markings and through side EF. Another segment is drawn through side DE and two more sets of intersecting arc markings.

Connect the arc markings to complete the perpendicular bisector

Find the perpendicular bisectors for side DF and DE

Connect three arc markings together to form the triangle

Use the intersection of arcs to determine the center of the circle
Mathematics
2 answers:
sineoko [7]3 years ago
3 0
Michael is constructing a circle circumscribed about a triangle. He has partially completed the construction. His next step in the construction would be to connect the arc markings to complete the perpendicular bisector.<span>


</span>
ANTONII [103]3 years ago
3 0
Hello there.

<span>Michael is constructing a circle circumscribed about a triangle. He has partially completed the construction. What should be his next step in the construction?

Triangle DEF is shown with two sets of intercting arc markings on either side of side EF. A line segment is drawn through each set of intersecting arc markings and through side EF. Another segment is drawn through side DE and two more sets of intersecting arc markings.

</span><span>Connect the arc markings to complete the perpendicular bisector</span>
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Find the size of angle AED
kogti [31]

Answer:

The measure of angle AED is 173°

Step-by-step explanation:

Given

The figure above

Required

Calculate <AED

To calculate <AED, we follow the highlighted steps.

1. Calculate angle DEC in triangle DEC.

The angles in ∆DEC are <DEC, <ECD and <CDE where

<ECD = 37° and <CDE = 96°

THE SUM OF ANGLES IN A TRIANGLE IS 180°.

i.e.

<DEC + <ECD + <CDE = 180°

By substituting <ECD = 37° and <CDE = 96°, we have

<DEC + 37° + 96° = 180°

<DEC + 133° = 180°

<DEC = 180° - 133°

<DEC = 47°

2. Calculate angle CEB in triangle CEB.

The angles in ∆CEB are <CEB, <EBC and <BCE where

<EBC = 73° and <BCE = 79°

THE SUM OF ANGLES IN A TRIANGLE IS 180°.

i.e.

<CEB + <EBC + <BCE = 180°

By substituting <EBC = 73° and <BCE = 79°, we have

<CEB + 73° + 79° = 180°

<CEB + 152° = 180°

<CEB = 180° - 152°

<CEB = 28°

3. Calculate <AED

This calculated by taking the sum of angles are point E.

The angles at point E are <AED, <AEB, <CEB and <DEC.

Where <AEB = 112°, <CEB = 28°, <DEC = 47°

Recall that sum of angles at a point is 360°.

So,

<AED + <AEB + <CEB + <DEC = 360

By substituting <AEB = 112°, <CEB = 28°, <DEC = 47°, we have

<AED + 112° + 28° + 47° = 360

<AED + 187° = 360°

<AED = 360° - 187°

<AED = 173°.

Hence, the measure of angle AED is 173°

8 0
4 years ago
GET 15 POINTS JUST ANSWER QUICK!!!
Mrac [35]

Answer:

Step-by-step explanation:

if one batch of brownies is 2 cups of flour, then 10 batches of brownies would be 20 cups of flour

6 0
4 years ago
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6. Two weather tracking stations are on the equator 159 miles apart. A weather balloon is located on a bearing of N 33°E from th
alexdok [17]

Answer:

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8 0
3 years ago
Divide rational numbers 4 2/3 divided by two show your work
Makovka662 [10]

Answer:

7/3

Step-by-step explanation:

What you do when you divide is you need to switch the second number and turn the division sign into a multiplication sign.

<em>4 2/3 / 2.</em>

<em>4 2/3 * 1/2=</em>

7/3 as your answer.

3 0
4 years ago
Which of the following rational functions is graphed below?
lidiya [134]

Vertical asymptote:

A vertical asymptote is a value of x for which the function is not defined, that is, it is a point which is outside the domain of a function;

In a graphic, these vertical asymptotes are given by dashed vertical lines.

An example is a value of x for which the denominator of the function is 0.

In this graphic:

Dashed vertical lines at: x = -3, x = 7, thus, for x - (-3) = x+3 and x - 7 the denominator is zero.

Thus, the function graphed is:

F(x) = \frac{1}{(x+3)(x-7)}

And the correct answer is given by option C.

To take a look at a problem with asymptote, you can check this item brainly.com/question/4084552.

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