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3 years ago

In the figure below, lines m and n are parallel. What is the value of x?

Mathematics

1 answer:

alexira [117]3 years ago

8 0

Answer:

x = 51

Step-by-step explanation:

It looks like alt int. angles (correct me if im wrong)

3x - 40 = 2x + 11

x = 51

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Answer:

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PtichkaEL [24]

(a) $x^{-5}$

(b) $3x^{-7}$

Solution:

To write each of the given expression in the form $ax^n$ :

(a) $\frac{x^3}{x^8}$

Using exponential rule: $\frac{a^x}{a^y}=a^{x-y}$

$$\frac{x^3}{x^8}=x^{3-8}$

$$\frac{x^3}{x^8}=x^{-5}$

(b) $\frac{6x}{2x^8}$

Divide numerator and denominator by the common factor 2, we get

$$\frac{6x}{2x^8}=\frac{3x}{x^8}$

Using exponential rule: $\frac{a^x}{a^y}=a^{x-y}$

$$=3x^{1-8}$

$$\frac{6x}{2x^8} =3x^{-7}$

Divide numerator and denominator by the common factor 7, we get

$$\frac{28x^6}{21x^2}=\frac{4x^6}{3x^2}$

Using exponential rule: $\frac{a^x}{a^y}=a^{x-y}$

$$=\frac{4}{3}x^{6-2}$

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3 years ago