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lana66690 [7]
4 years ago
11

What is the measure of x? Help me on this Geometry question.​

Mathematics
2 answers:
AlladinOne [14]4 years ago
8 0

Answer:

21°

Step-by-step explanation:

the angles of triangle abc has to = 180 so subtract the known angles to get 21

angles bca and daf have to be the same so its 21

KonstantinChe [14]4 years ago
3 0

Answer:

x=21

Step-by-step explanation:

We have been given an image of two parallel lines cut by a transversal. We are asked to find the measure of x.

We know that corresponding angles of two parallel lines are equal. We can see that angle BCA and angle DAF are corresponding angles.

Let us find measure of angle BCA using angle sum property.

54^{\circ}+105^{\circ}+m\angle BCA=180^{\circ}

159^{\circ}+m\angle BCA=180^{\circ}

159^{\circ}-159^{\circ}+m\angle BCA=180^{\circ}-159^{\circ}

m\angle BCA=21^{\circ}

Therefore, the value of x is 21 degrees.

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All athletes at the Olympic games are tested for performance-enhancing steroid drug use. The imperfect test gives positive resul
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write the product of the expression 5^4 * 5^-7 using a positive exponent, then write the product using a negative exponent
pav-90 [236]

Answer with positive exponent = \left(\frac{1}{5}\right)^3 or  \frac{1}{5^3}

Answer with negative exponent = 5^{-3}

===========================================================

Explanation:

The rule we use is

a^b*a^c = a^{b+c}

If we multiply two exponential expressions with the same base, then we add the exponents.

The base for each is 5. The exponents 4 and -7 add to -3.

This means

5^4*5^{-7} = 5^{4+(-7)} = 5^{-3}

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So, 5^{-3} = \left(\frac{1}{5}\right)^3 = \frac{1^3}{5^3} = \frac{1}{5^3}

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