What sequence of rigid transformations takes figure C to figure D?
A) a counterclockwise rotation of 90° about the origin,
then a reflection in the y-axis
B) a counterclockwise rotation of 90° about the origin, then a translation 2 units to the right
C) a reflection in the y-axis, then a translation 6 units down
D) none, because C and D are not congruent

D) none, because C and D are not congruent

Step-by-step explanation:

The figures are not congruent, because figure c is a right triangle with bases of length 3 and 4, while figure d is a right triangle with bases of length 3 and 3. The definition of congruency is that they have the same size and shape, which is trivially not true in this case. Therefore, it is not possible to map C onto D using rigid transformations.

step-by-step explanation: the answer is 27. first multiply .32 by 25 which equals 8. then add 8 to 25 which gives you 33. then you subtract that from 6 since she gave 6 to her brother.

,, add !

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: