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Mathematics

2 answers:

yulyashka [42]3 years ago

6 0

Answer:

The angles on the top form 180 degrees, a line. So, 180 = 4x + 72 which gives you x = 27 Angle BFC is 66 degrees, angle CFD is 54 degrees, and angle BFA is 29 degrees. Therefore, C. 27 degrees is not a measure of an angle in the figure

Step-by-step explanation:

nikdorinn [45]3 years ago

3 0

Answer:

c) 27°

Step-by-step explanation:

Step 1: Find the value of x

All angles on a straight line are equal to 180 degrees.

Therefore,

60 + 2x + (2x+12) = 180

72 + 4x = 180

4x = 108

x = 27°

Step 2: Through the value of x, calculate all angles

2x = 27 (2) = 54°

2x + 12 = 2 (27) + 12 = 66°

x + 2 = 27 + 2 = 29°

27° is not a measure of an angle in the figure.

Therefore, option c is the correct answer.

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What is a true statement about negative exponents?

Nadya [2.5K]

Answer:

Raising something to a negative exponent is just taking the reciprocal of the amount.

Step-by-step explanation:

Let's assume that you wanted to know what $x^{-2}$ is.

To find it, you would take the reciprocal of the x amount. So $x^{-2}$ becomes $\frac{1}{x^{2}}$ .

This works because of the nature of exponents. Exponents represent the number of times you are multiplying a value by itself. So $a^{3}$ would be equal to a · a · a. To increase the exponent, you increase the number of times the value is multiplied by itself: To increase $a^{3}$ to $a^{5}$ , you would have to multiply a with $a^{3}$ two more times (a · a · a · a · a). To decrease the exponent, you must divide the value by itself. So to decrease $a^{5}$ to $a^{2}$ , you would have to divide $a^{5}$ by a 3 times.

If the exponent is 0, the value is equal to 1. But you can still decrease the exponent into negative numbers. You just divide 1 by a the desired amount of times: $\frac{1}{a^{3}}$ means that you are dividing 1 by a 3 times.