The diagram shows the length and width of a cell phone and the length of a larger version of the same brand of cell phone.

the lengths and widths of the two cell phones are proportional. what is the width, in inches, of the larger version of the cell phone?

a. 1.15

b. 2.26

c. 2.99

d. 3.41

  C.  2.99

Step-by-step explanation:

The ratios being proportional means ...

  width/height = 2.6/5.4 = x/6.21

Multiplying by 6.21 gives the width of the larger phone:

  x = 6.21(2.6/5.4) = 2.99 . . . inches

The width of the larger phone is 2.99 inches.

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

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step-by-step explanation: