Answer:
(x + 13, y + 7)
Step-by-step explanation:
Hello there!
In order to find what the translation rule is, we need to find how much it move to the right/left and up/down
In this case, the line segment VW moved up 7 and to the right by 13
We can get this by checking how far apart the points are
I checked how far apart V and V prime
(V prime is the green V. When a point is primed, its just saying that the point has gone through translation, rotation, dilation, or reflection)
V is 13 units to the left of V prime and 7 units below V prime
This means that, to go from line VW to line V prime W prime, you need to shift the line up 7 units and to the right 13 units
So, the translation rule is (x + 13, y + 7)
*If you don't understand, tell me in the comments, I will try to explain further to your understanding. Thank you, and have a great rest of your day :)*
Answer:
x = 12
Step-by-step explanation:
Solve for x:
(-3 x)/2 - 9 = -27
Put each term in (-3 x)/2 - 9 over the common denominator 2: (-3 x)/2 - 9 = (-18)/2 - (3 x)/2:
(-18)/2 - (3 x)/2 = -27
(-18)/2 - (3 x)/2 = (-3 x - 18)/2:
(-3 x - 18)/2 = -27
Multiply both sides of (-3 x - 18)/2 = -27 by 2:
(2 (-3 x - 18))/2 = -27×2
(2 (-3 x - 18))/2 = 2/2×(-3 x - 18) = -3 x - 18:
-3 x - 18 = -27×2
2 (-27) = -54:
-3 x - 18 = -54
Add 18 to both sides:
(18 - 18) - 3 x = 18 - 54
18 - 18 = 0:
-3 x = 18 - 54
18 - 54 = -36:
-3 x = -36
Divide both sides of -3 x = -36 by -3:
(-3 x)/(-3) = (-36)/(-3)
(-3)/(-3) = 1:
x = (-36)/(-3)
The gcd of -36 and -3 is -3, so (-36)/(-3) = (-3×12)/(-3×1) = (-3)/(-3)×12 = 12:
Answer: x = 12
10= 30 degrees 30+90= 120
11= 60 degrees 180-120= 60
12= 60 degrees 180-120 = 60
13= 120 degrees 180-60= 120
Answer:
A
Step-by-step explanation:
Answer:
6 Nickels
42 Dimes
Step-by-step explanation:
There are 48 coins in total (nickels and dimes). Let the number of nickels be "n" and the number of dimes be "d". So we can write:
n + d = 48
or
n = 48 - d
In dollars, we know nickels are worth 0.05 and dimes are worth 0.10. In total there is $4.50, so we can write:
0.05n + 0.10d = 4.50
Now replacing first equation [n = 48 - d] into 2nd, we get and equation in "d" and solve for d first:
So, there are 42 dimes.
We know from before, n = 48 - d, so
n = 48 - 42 = 6
There are 6 nickels
