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dybincka [34]
3 years ago
6

4. In the Department of Natural Sciences, 14 faculty members have a PhD, and 30 faculty

Mathematics
1 answer:
Dvinal [7]3 years ago
4 0

Answer:

  8

Step-by-step explanation:

We can start by making the table below to show the given numbers (red) and to assign a variable (x) to <em>the number we want to find: female PhDs</em>.

By subtracting the female numbers from the totals, we can find the corresponding numbers of male PhDs and non-PhDs.

The number of male non-PhDs is twice the number of male PhDs, so we have ...

  2(14 -x) = 20 -x

  28 -2x = 20 -x . . . . eliminate parentheses

  8 = x . . . . . . . . . . . .add 2x-20

The number of female faculty with PhDs is 8.

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Polygon a b c d is shown with exterior angles. exterior angle a is 25 degrees, exterior angle b is 146 degrees, and exterior ang
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The measure of angle bcd of the polygon abcd is 40°.

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A polygon is simply a two-dimensional a plane shape enclosed by line segments called sides.

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The measure of angle bcd of the polygon abcd is 40°.

Hence, option b) 40° is the correct answer.

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