Question
Draw a line $AB$. Take a point $P$ outside it. Draw a line passing through $P$ and parallel to $AB.$
✓
Answer
Steps for construction:
$1.$Draw a line $AB.$
$2.$Take a point $P$ outside $AB$ and another point $O$ on $AB.$
$3.$Draw $PO.$
$4.$Draw $\angle\text{FPO}$ such that $\angle\text{FPO}$ is equal to $AOP.$
$5.$Extend $FP$ to $E.$
Then, the line $EF$ passes through the point $P$ and $EF \| AB.$
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→$i.\ $What percentage of the total number of students have their heights more than $149\ cm$?
$ii.\ $How many students in the class are in the range of maximum height of the class?
$iii.\ $The school wants to provide a particular type of tonic to each student below the height of $150\ cm$ to improve his height. If the cost of the tonic for each student comes out to be ₛ $55$, how much amount of money is required?
$iv.\ $How many students are in the range of shortest height of the class?
$v.\ $State whether true or false:
$a.\ $There are $9$ students in the class whose heights are in the range of $155-159\ cm.$
$b.\ $Maximum height $($in $cm)$ of a student in the class is $17.$
$c.\ $There are $29$ students in the class whose heights are in the range of $145-154\ cm.$
$d.\ $Minimum height $($in $cm)$ of a student is the class is in the range of $140-144\ cm.$
$e.\ $The number of students in the class having their heights less than $150\ cm$ is $12$.
$f.\ $There are $14$ students each of whom has height more than $154\ cm.$
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$105^\circ $
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→