The similarities between constructing a perpendicular line through a point on a line and constructing a perpendicular through a point off a line include:
- Both methods involve making a 90-degree angle between two lines.
- The methods determine a point equidistant from two equidistant points on the line.
<h3>What are perpendicular lines?</h3>
Perpendicular lines are defined as two lines that meet or intersect each other at right angles.
In this case, both methods involve making a 90-degree angle between two lines and the methods determine a point equidistant from two equidistant points on the line.
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Let x be the unknown number
x×55%=121
x=121÷55%
x=220
So 121 is 55% of 220
The present dimensions are : length = 12 feet
width = 9 feet
Area = 12* 9 = 108 feet squared
If the dimensions are increased by x feet the dimensions are :
length = 12 + x
width = 9+ x
Area = ( 12+x)( 9+x)
new area = initial area * 2
( 12+ x)( 9+ x) = 2 * 108
12*9 + 12x + 9x + xx = 216
108 + 21 x + x^2 = 216
x^2+ 21x = 216-108
x^2 + 21x = 108
x^2 + 21x -108 = 0
let us plug a= 1 b= 21 c= -108 in quadratic formula
x= [-21 + / - ( 21^2 - 4* 1 * -108 )^(1/2 ]/ 2* 1
x= 4.27
Answer :
Both sides are increased by 4.27 feet .
Ok so remember
x^n means x times itself n times
example
x^2=x times x
x^4=x times x times x times x
so
a^3
a=7
a^3=a times itself 3 times therefor
a^3=a times a times a
subsitute 7 for a
7^3=7 times 7 times 7
7^3=343
Answer:
The 84th term of the arithmetic sequence -5,15,35, ... is 1675.
Step-by-step explanation:
The arithmetic sequence -5,15,35, ... increases by 20 per term. Add 20 to the prior term to find the new term. Do this 83 times from -5, and you reach 1675.
