If ΔOPQ is dilated from point Q by a scale factor of 3, which of the following equations is true about segment R prime S prime? Triangle OPQ is shown with point R lying on side OP and point S lying on side OQ Line RS is perpendicular to side OQ. segment R prime S prime = one half segment RS segment R prime S prime = two segment RS segment R prime S prime = segment RS segment R prime S prime = three segment RS segment R prime S prime = one half segment RS segment R prime S prime = two segment RS segment R prime S prime = segment RS segment R prime S prime = three segment RS

(D), R'S' = 3 × RS

Step-by-step explanation:

If this triangle was dilated by a scale factor of 3, then the side lengths of ∠OPQ' would be 3 times the amount of ∠OPQ. Since RS is located on this triangle and connects two parts, we can assume this line is part of the triangle too and the same rules will apply. Each side will be multiplied by 3, as the scale factor is 3, therefore RS will be multiplied by 3 as well to get R'S'.

Hope this helped.

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.