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spayn [35]
3 years ago
15

One fourth of the opposite of the difference of five and a number is less than twenty

Mathematics
1 answer:
Stels [109]3 years ago
4 0
'of' means multiply

1/4 of (1/4 times ) the opposite of (-) difference of 5 and a number (5-n) is lesss than 20 (<20)

1/4 times -(5-n)<20
multiply both sides by 1/4
-(5-n)<5
multiply both sides by -1 remember to flip sign
5-n>-5
add n
5>n-5
add 5
10>n
n<10


the number is any number less than 10
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5 0
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Please help. solve for x
malfutka [58]

Step-by-step explanation:

Given,

Base of the triangle

2 \sqrt{6}

Hypotenuse of the triangle = 5

Height of the triangle = x

Therefore, According to Pythagoras Theorem,

{base}^{2}  +  {height}^{2}  =  {hypotenuse}^{2}

=  >  {(2 \sqrt{6)} }^{2}  +  {x}^{2}  =  {5}^{2}

=  > 24 +  {x}^{2}  = 25

=  >  {x}^{2}  = 25 - 24

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=  > x =  \sqrt{1}

=  > x = 1

Hence, the required value of <u>x is 1.</u>

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