Answer:
Dilation factor = 0.75.
Step-by-step explanation:
One point on the xy-plane is (-24,-12). The transformation is the dilation which is done on the point and the image is given by (-18,-9). Dilation changes the size of the shape according to the dilation factor. If the original x-coordinate is -24, then the image will be calculated by multiplying the original point with the dilation factor. Therefore, -18= -24 * k, where k is the unknown dilation factor. Simply solve the equation for k.
24k = 18.
k = 18/24 = 3/4 = 0.75.
Similarly, 12k = 9. k = 9/12 = 3/4 = 0.75.
So the point (-24,-12) dilated by k=0.75 to get to (-18,-9)!!!
Is the same as the one you just did.
keep in mind that, going against the current, the current's speed erodes speed from your regular speed, whilst if you're going with the current, the current's speed adds to it.
now, in this case, you row 5mph, going upstream you're only doing 3mph, whatever happened to the other 2mph? well, the current speed eroded them, meaning the speed of the river is 2mph.
now, going downstream with the current, your regular speed is 5mph, and the current is 2mph, since the current adds to yours, then you're going 5 + 2, mph.
Answer:
x = 12
Step-by-step explanation:
Complementary angles add up to have a sum of 90 degrees. We can create an equation and solve for x.
3x + 6x - 18 = 90
~Simplify
9x - 18 = 90
~Add 18 to both sides
9x = 108
~Divide 9 to both sides
x = 12
Best of Luck!
Answer: 7
Step-by-step explanation: there are 4 full circles so that equals 4. 1+1=2, 1/8+7/8=1. 4+2+1=7
Answer:
A
Step-by-step explanation:
Because 29+39=68
68<69
therefore this would not make a triangle!