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melisa1 [442]
1 year ago
12

I don’t understand what this question is asking for

Mathematics
1 answer:
Elden [556K]1 year ago
7 0

Answer:

  (d)  m∠AEB = m∠ADB

Step-by-step explanation:

The question is asking you to compare the measures of two inscribed angles. Each of the inscribed angles intercepts the circle at points A and B, which are the endpoints of a diameter.

__

<h3>applicable relations</h3>

Several relations are involved here.

  • The measures of the arcs of a circle total 360°
  • A diameter cuts a circle into two congruent semicircles
  • The measure of an inscribed angle is half the measure of the arc it intercepts
<h3>application</h3>

In the attached diagram, we have shown inscribed angle ADB in blue. The semicircular arc it intercepts is also shown in blue. A semicircle is half a circle, so its arc measure is half of 360°. Arc AEB is 180°. That means inscribed angle ADB measures half of 180°, or 90°. (It is shown as a right angle on the diagram.)

If Brenda draws angle AEB, it would look like the angle shown in red on the diagram. It intercepts semicircular arc ADB, which has a measure of 180°. So, angle AEB will be half that, or 180°/2 = 90°.

The question is asking you to recognize that ∠ADB = 90° and ∠AEB = 90° have the same measure.

  m∠AEB = m∠ADB

_____

<em>Additional comment</em>

Every angle inscribed in a semicircle is a right angle. The center of the semicircle is the midpoint of the hypotenuse of the right triangle. This fact turns out to be useful in many ways.

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2 tenths is equal to____ fifths
Sunny_sXe [5.5K]
To solve this, it is easiest to set up a proportion, letting x represent the number that we don't know.

2/10 = x/5

Now, we can use cross products to simplify this proportion.  Cross products sets the products of the numerator and denominator of separate fractions equal to one another.  It results in the equation:

(5)(2) = (10)(x)

Let's multiply out these numbers to further simplify the equation.

10 = 10x 

Finally, we have to divide both sides by 10, to get our variable x alone

x = 1

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Answer:

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Step-by-step explanation:

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3 years ago
TRAP​ ~ EZYD. Use the diagram on the right to find the scale factor of TRAP to EZYD. Show work.
nikitadnepr [17]

The scale factor of TRAP to EZYD is 1.25.

<h3>What is dilation</h3>

Dilation is the increase or decrease in the size of a figure by a scale factor of k. If k > 1 it is an increase and if k < 1, it is a decrease.

To find the scale factor of TRAP to EZYD:

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The scale factor of TRAP to EZYD is 1.25.

Find out more on dilation on: brainly.com/question/10253650

4 0
2 years ago
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