Answer:
[tex]NO = 66.9[/tex]
Step-by-step explanation:
Given
See attachment for quadrilaterals IJKL and MNOP
Required
Determine the length of NO
From the attachment, we have:
[tex]KL = 9[/tex]
[tex]JK = 14[/tex]
[tex]OP = 43[/tex]
To do this, we make use of the following equivalent ratios:
[tex]JK : KL = NO : OP[/tex]
Substitute values for JK, KL and OP
[tex]14 : 9 = NO : 43[/tex]
Express as fractions
[tex]\frac{14}{9} = \frac{NO}{43}[/tex]
Multiply both sides by 43
[tex]43 * \frac{14}{9} = \frac{NO}{43}*43[/tex]
[tex]43 * \frac{14}{9} = NO[/tex]
[tex]\frac{43 * 14}{9} = NO[/tex]
[tex]\frac{602}{9} = NO[/tex]
[tex]66.8889 = NO[/tex]
[tex]66.9 = NO[/tex] --- approximated
[tex]NO = 66.9[/tex]
