Maria Louisa looks at a sequence of shapes and records the number of vertices in each of the shapes in the sequence. The first shape has 7 vertices, the second shape has 13 vertices, and the third shape has 19 vertices. If Maria Louisa assumes that the number of vertices in the sequence of shapes follows the same pattern, how many vertices would she expect the 17 shape to have?

103

Step-by-step explanation:

appears to be an arithmetic sequence question where sequence is 7, 13, 19 meaning the initial value is 7 and the common difference is 6 so we'll plug into this formula:

= 7 + (17 - 1) · 6

    = 7 + (16 · 6)

    = 7 + 96

'7' because that's the initial value

'6' because that the common difference

'17' because that's the position the question is asking

lol

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