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3 years ago

Write 1,386 as the product of its prime factors. A. 2 x 3 x 3 x 7 x 11 B. 2 x 693 C. 2 x 3 x 7 x 33 D. 2 x 3 x 231

1 answer:

5 0

Hello there,

The "prime factor's" of 1,386 would be "2*3*3*7*11.

When we multiply those together. We get 1,386.

Hope this helps.

~Jurgen

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Cloud [144]

Given:

In the given circle O, BC is diameter, OA is radius, DC is a chord parallel to chord BA and $m\angle BCD=30^\circ$ .

To find:

The $m\angle AOB$ .

Solution:

If a transversal line intersect two parallel lines, then the alternate interior angles are congruent.

We have, DC is parallel to BA and BC is the transversal line.

$\angle OBA\cong \angle BCD$ [Alternate interior angles]

$m\angle OBA=m\angle BCD$

$m\angle OBA=30^\circ$

In triangle AOB, OA and OB are radii of the circle O. It means OA=OB and triangle AOB is an isosceles triangle.

The base angles of an isosceles triangle are congruent. So,

$\angle OAB\cong \angle OBA$ [Base angles of an isosceles triangle]

$m\angle OAB=m\angle OBA$

$m\angle OAB=30^\circ$

Using the angle sum property in triangle AOB, we get

$m\angle OAB+m\angle OBA+m\angle AOB=180^\circ$

$30^\circ+30^\circ+m\angle AOB=180^\circ$

$60^\circ+m\angle AOB=180^\circ$

$m\angle AOB=180^\circ-60^\circ$

$m\angle AOB=120^\circ$

Hence, the measure of angle AOB is 120 degrees.

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3 years ago

A rectangular laboratory tray is 3/5 feet by 7/6 feet. Find the area

nirvana33 [79]

Area = l x w
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3 years ago

What is the coefficient of the expression −x/3+7 ?

Eddi Din [679]

3 hope this helped :)

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3 years ago

At the beginning of April, Owl Corporation has a balance of $12,000 in the Retained Earnings account. During the month of April,

Katarina [22]

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3 years ago

Pls help it is due very soon.

WINSTONCH [101]

Answer:

Step-by-step explanation:

The Pythagorean theorem is sqrt(a^2 + b^ 2) = c, so:

sqrt(22^2 + 8^2) = c

sqrt(548) = c

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2 years ago