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prohojiy [21]
3 years ago
5

In the figure below, \overline{AB}

Mathematics
1 answer:
olchik [2.2K]3 years ago
8 0

Answer:

<u>Arc AD = 43°</u>

Step-by-step explanation:

<em>Image is attached.</em>

<em />

When an angle subtends from an Arc to the center, the measure of the Arc and the Angle are same. Now, looking at the figure,

Arc AB = 180 (since this is an Arc subtending the diameter)

Arc DC = 90 degrees since the central angle is 90

So,

Arc AD + Arc CB = 180 - 90 = 90

Arc AD and Arc CB have the same measures as the central angle it created (terms in x). So we can write:

Arc AD + Arc CB = 90

7x + 1 + 9x - 7 = 90

We can solve for x:

7x + 1 + 9x - 7 = 90\\16x-6=90\\16x=96\\x=6

The central angle AD is:

AD = 7x + 1 = 7(6) + 1 = 43

Also, Arc AD is same, thus:

<u>Arc AD = 43°</u>

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Do you think that civilians should be targeted in warfare? Why or why not?
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When countries are at war, the general rule is that civilians should not be targeted and I <u>support </u>this notion.

<h3>The Concept of War</h3>
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Lucy earns money babysitting. Her earnings and hours worked represent a direct variation. She worked for 4 hours and earned $25.
SashulF [63]

For this case we have that by definition, a direct variation is given in the form:

y = kx

Where:

k: It is the constant of proportionality

According to the statement we have to:

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25 = k4\\k = \frac {25} {4}k = 6.25\ for\ \frac {dollars} {hour}

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