Consider the enlargement of the trapezoid.

A smaller trapezoid with top side length of 2 centimeters and bottom side length of 3.25 centimeters. A large trapezoid with top side length of x centimeters and bottom side length of 6.5 centimeters.

Which of the proportions is correctly set up to find the missing dimension of the enlarged trapezoid?
StartFraction 2 over x EndFraction = StartFraction 6.5 over 3.25 EndFraction
StartFraction 2 over 3.25 EndFraction = StartFraction x over 6.5 EndFraction
StartFraction 2 over 3.25 EndFraction = StartFraction 6.25 over x EndFraction
StartFraction x over 6.5 EndFraction = StartFraction 3.25 over 2 EndFraction

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

step-by-step explanation:

consider an orange peel: if you want to try and lay it flat, you have to stretch it, we know exactly how things are being stretched or squashed at any given point. we have many different map projections because each has different patterns of some projections can even preserve certain features of the earth without

x=-2

step-by-step explanation:

i began by flipping the problem to give me x= on the left (keeps it clearer for me).   so my problem simply became 10x-3=4x-6.  

1)   subtract 4x from the right side, which equals 0.   you do the same to the left of the equal as the right; therefore, subtract 4x from 10x, leaving 6x on the left.

              10x-3=4x-6   :   4x-4x on the right leaves only the -6        

2)             6x-3= 0-6 :    

                6x+3=   -6

3) divide