How to solve for 45-45-90 triangles

Mathematics

1 answer:

Alla [95]3 years ago

8 0

5x+3= 4 So the answer is D

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Half of a number n is at most 5 units from 14<br><br>(Write the absolute value inequality)

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Answer: 18≤n≤38 is absolute value inequality for the problem.

Step-by-step explanation:

Given situation:- Half of a number n is at most 5 units from 14

that means the difference between 14 and half times n is less than 5

$\Rightarrow |14-\frac{1}{2} \times n|\leq 5\\\Rightarrow|2( 14-\frac{1}{2} \times n)|\leq2(5)\\\Rightarrow|2(14)-2(\frac{1}{2} \times n)|\leq2(5)\ \text{(Multiplying 5 on the both sides)}\\\Rightarrow|\ 28-n|\leq10\\\Rightarrow\ 28-n\leq10\ or\ -(28-n)\leq10\\\Rightarrow\ n=28-10=18\ or\ n=28+10=38\\(i.e.)\ 18\leq\ n\leq \ 38$

⇒18≤n≤38 is absolute value inequality for the problem.

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