Find the missing length indicated

21

Step-by-step explanation:

It is given that two lines are parallel, and hence the corresponding angles are congruent, by corresponding angles postulate. It is also given that the triangles in the photo share an angle, by the reflexive property, the shared angle is congruent. Hence one can use angle-angle to determine that the two triangles in the picture are similar.

Using this, one can set up a proportion with the sides. The ratios of any two corresponding sides are the same as any other two corresponding sides in the triangle, respectively, this is due to the corresponding parts of similar triangles theorem.

Simplify,

Cross products,

Inverse operations,

the answer is c)8

step-by-step explanaction:

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet