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2 years ago

If LO = 15x+19 and QN = 10x+2 find PN

Mathematics

1 answer:

svet-max [94.6K]2 years ago

8 0

Answer:

$PN=64\ units$

Step-by-step explanation:

The complete question is

Given the quadrilateral is a rectangle, if LO = 15x+19 and QN = 10x+2 find PN

see the attached figure to better understand the problem

we know that

The diagonals of a rectangle are congruent and bisect each other

$QN=\frac{1}{2}LO$

substitute the given values

$10x+2=\frac{1}{2}(15x+19)$

solve for x

$20x+4=15x+19\\20x-15x=19-4\\5x=15\\x=3$

Find the length of PN

Remember that

$PN=LO$ ----> diagonals of rectangle are congruent

$LO=15x+19$

substitute the value of x

$LO=15(3)+19=64\ units$

therefore

$PN=64\ units$

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Step-by-step explanation:

Lower and Upper Bounds

The lower bound is the smallest value that will round up to the approximate value.
The upper bound is the smallest value that will round up to the next approximate value.

Ex:- a mass of 70 kg, rounded to the nearest 10 kg, The upper bound is 75 kg, because 75 kg is the smallest mass that would round up to 80kg.

Here , A length is measured as 21cm correct to 2 significant figures. We need to find what is the upper bound for the length . let's find out:

As discussed above , upper bound for any number will be the smallest value in decimals which will round up to next integer value . So , for 21 :

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