Consider that the length of rectangle a is 10 cm and its width is 6 cm. which rectangle is similar to rectangle a? a) a rectangle with a length of 9 cm and a width of 6 cm. b) a rectangle with a length of 15 cm and a width of 9 cm. c) a rectangle with a length of 14 cm and a width of 7 cm. d) a rectangle with a length of 12 cm and a width of 8 cm.

B) A rectangle with a length of 15 cm and a width of 9 cm

Step-by-step explanation:

In similar figures sides are in proportion .The given rectangle A has length and width in the ratio 10:6=5:3.

For option A ratio of sides for the rectangle = 9:6=3:2

For option B ratio of sides =15:9=5:3

For option C ratio of sides =14:7=2:1

For option D ratio of sides =12:8=3:2.

Option B that is A rectangle with a length of 15 cm and a width of 9 cm has the same ratio of sides as that of rectangle with side 10 cm and width 6cm.

Hence the two rectangles are similar.

75

step-by-step explanation:

you do x-29=46 (the number of cantaloupes sold)

in order to find x, you have to find what minus 29 equals 46, meaning you'd have to add 29 to 46.

29+46=75

if you replace x with 75, the equation looks like:

75-29=46

x=75

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.