Question

Quadrilateral IJKL is similar to quadrilateral MNOP. Find the measure of side NO. Round your answer to the nearest tenth.

Answer 1

Answer:

Quadrilateral DEFG is similar to quadrilateral HIJK. Find the measure of side KH. Round your answer to the nearest tenth. Figures are not drawn to scale.

Step-by-step explanation:

Answer 2

Answer:

$NO = 66.9$

Step-by-step explanation:

Given

See attachment for quadrilaterals IJKL and MNOP

Required

Determine the length of NO

From the attachment, we have:

$KL = 9$

$JK = 14$

$OP = 43$

To do this, we make use of the following equivalent ratios:

$JK : KL = NO : OP$

Substitute values for JK, KL and OP

$14 : 9 = NO : 43$

Express as fractions

$\frac{14}{9} = \frac{NO}{43}$

Multiply both sides by 43

$43 * \frac{14}{9} = \frac{NO}{43}*43$

$43 * \frac{14}{9} = NO$

$\frac{43 * 14}{9} = NO$

$\frac{602}{9} = NO$

$66.8889 = NO$

$66.9 = NO$ --- approximated

$NO = 66.9$