Find the measure of angle MKN.

m∠MKN = 61°

Step-by-step explanation:

Since KN is a perpendicular bisector, m∠NKM and m∠MKJ have to add up to 90°.

Step 1: Set up equation

6x + 7 + 3x + 2 = 90

Step 2: Solve for x

Step 3: Find m∠MKN

m∠MKN = 6x + 7

m∠MKN = 6(9) + 7

m∠MKN = 54 + 7

m∠MKN = 61°

61

Step-by-step explanation:

Since JKL is a straight line, it equals 180

JKM + MKN + NKL = 180

3x+2 + 6x+7 + 90 = 180

Combine like terms

9x+99 = 180

Subtract 99 from each side

9x+99-99= 180-99

9x =81

Divide each side by 9

9x/9 = 81/9

x=9

We want MKN

6x+7 = 6*9 +7 = 54+7 = 61

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have