In triangle abc, ac|| xy, ax=4 xb=10.5,cy=6

15.75

Step-by-step explanation:

Triangle ABC is similar to triangle XBY because all their angles are equal. You can see this using the parallel lines. Since they are similar, the ratios of their corresponding sides are equal.

10.5/10.5+4=x/6+x

10.5/14.5=x/6+x

21/29=x/6+x

Cross-multiplying yields:

21(6+x)=29x

126+21x=29x

8x=126

x=126/8

x=15.75

5

step-by-step explanation:

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