What is the value of x

Mathematics

2 answers:

NikAS [45]3 years ago

6 0

<u>Answer</u>

<u>Explanation</u>

The two angles in the diagram are directly opposite. Directly opposite angle are equal.

∴ 12x - 7 = 4x + 9

put the like terms together,

12x - 4x = 9 + 7

8x = 16

x = 16/8

= 2

Olegator [25]3 years ago

3 0

First set up the equation 12x-7=4x+9

Get all the x's on one side and number on one side so you have 8x= 16

You get X=2

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Answer:

The expression simplifies to $\frac{4(x+2)}{5(x-1)}$ .

Step-by-step explanation:

The expression

$\frac{2(x+3)}{x(x-1)} *\frac{4x(x+2)}{10(x+3)}$

can be rearranged and written as

$\frac{8x(x+3)(x+2)}{10x(x-1)(x+3)}.$

In this form the $(x+3)$ terms in the numerator and in the denominator cancel to give

$\frac{8x(x+2)}{10x(x-1)}.$

The $x's$ are present both in the numerator and in the denominator, so they also cancel, and the fraction $\frac{8}{10}$ simplifies to $\frac{4}{5}$ , so finally our expression becomes: