Chevy has some yarn that he wants to use to make hats and scarves. Each hat uses 0.2 kilograms of yarn a

Response:1. The GCF of the group ( 6 x - 3 ) is 3.

2. The mutual binomial factor is 2 x - 1.

3. The expression in factored form is: ( 2 x - 1 ) ( 7 x + 3 ).

Step-by-step details:

14 x² + 6 x - 7 x - 3 =

= ( 14 x² - 7 x ) + ( 6 x - 3 ) =

= 7 x ( 2 x - 1 ) + 3 ( 2 x - 1 ) =

= ( 2 x - 1 ) ( 7 x + 3 )

Answer:

12 cm

Detailed explanation:

1. Analyzing triangle MNK, we see that angle N is a right angle, and m∠M=60°, hence m∠K=30°. This indicates that MNK is a unique 30°-60°-90° triangle where the legs are MN and NK, and the hypotenuse MK is 16 cm long. The leg MN, which is opposite the 30° angle, measures half of the hypotenuse, leading to MN=8 cm.

2. Next, consider right triangle MNH, where NH represents the height of the trapezoid drawn from point N. In this triangle, m∠M is 60°, angle H is a right angle, so m∠N is 30°. Thus, MH, being half of the hypotenuse MN, translates to MH=4 cm.

3. The trapezoid MNOK is isosceles with MN=OK=8 cm, meaning NO=MK-2MH=16-8=8 cm.

4. The midsegment of the trapezoid is