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2 years ago

AB=AD. Enter the range of values for x. 40° 14° 9x-27 108. ?

Mathematics

2 answers:

zalisa [80]2 years ago

8 0

The range of values of x as shown in the diagram is -9 < x < 15

<h3>Inequality expressions</h3>

Inequality are expressions not separated by an equal sign. The required inequality expression is given as:

|9x - 27| < 108

For the positive inequality

9x - 27 < 108

9x < 108 +27

9x < 135

x < 15

For the negative inequality

-9x + 27 < 108

-9x < 108 - 27

-9x < 91

x > -9

-9 < x

Hence the range of values of x as shown in the diagram is -9 < x < 15

Learn more on inequality here: brainly.com/question/24372553

#SPJ1

d1i1m1o1n [39]2 years ago

7 0

Answer: 3 < x < 15

Explanation: I went to photo math and typed in 9x-27<108 and it told me x<15 hoped this helped

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Sergio039 [100]

Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

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6 0

3 years ago

Can someone please help me factor this

Dmitry_Shevchenko [17]

Answer:

$\huge\boxed{\bf\:1}$

Step-by-step explanation:

$\frac{ x ^ { 2 } -4x+3 }{ x ^ { 2 } -7x+12 } \times \frac{ x ^ { 2 } +2x-24 }{ x ^ { 2 } +5x-6 } ^ { }$

Take $\frac{ x ^ { 2 } -4x+3 }{ x ^ { 2 } -7x+12 }$ & factorise it at first.

$\frac{ x ^ { 2 } -4x+3 }{ x ^ { 2 } -7x+12 } \\= \frac{\left(x-3\right)\left(x-1\right)}{\left(x-4\right)\left(x-3\right)}\\= \frac{x-1}{x-4}$

Now factorise the next set : $\frac{ x ^ { 2 } +2x-24 }{ x ^ { 2 } +5x-6 } ^ { }$ .

$\frac{ x ^ { 2 } +2x-24 }{ x ^ { 2 } +5x-6 } ^ { }\\= \frac{\left(x-4\right)\left(x+6\right)}{\left(x-1\right)\left(x+6\right)}\\= \frac{x-4}{x-1}$

Now, multiply the two simplified results.

$\frac{ x ^ { 2 } -4x+3 }{ x ^ { 2 } -7x+12 } \times \frac{ x ^ { 2 } +2x-24 }{ x ^ { 2 } +5x-6 } ^ { }\\= \frac{x-1}{x-4}\times \frac{x-4}{x-1} \\= \frac{\left(x-1\right)\left(x-4\right)}{\left(x-4\right)\left(x-1\right)} \\= \boxed{\bf\: 1}$