Now, multiply both sides by 6 and you get.....
df+10=6g
now, subtract 10 on both sides and you get.....
df=6g-10
now divide both sides by d to get f by itself and you get........
Answer:
because they allow us to make direct comparisons
Step-by-step explanation:
2/5 in 1/12 of an hour
x in 1 hour
So multiply 12 to both fractions
2/5 x 12 in 1/12 x 12 of an hour
We get now:
24/5 in 1 hour
or:
4 4/5 in 1 hour
Answer: A. preserves length, angle measures and distance between points
Rigid motions or isometries are any of the three transformations below
- translation (aka shifting)
- rotation
- reflection
Any of those three transformations will keep the figure the same size and shape. That means distances between any two points are kept the same, and angle measures are kept the same as well. Everything is kept the same. The only difference is that the figure is in a different location, is rotated somehow, or it is reflected some way. You can use a series of transformations to undo everything to get the original figure back.
If you wanted to change the size of the figure, then you would apply dilation, which isn't an isometry.
Answer:
x=4, MN= 37, LM= 37, y=7.
Step-by-step explanation:
If MP is a perpendicular bisector to LN, then NP and LP are equivalent.
(Solve for y)
2y+2= 16
(Move the +2 to the right side of the equation)
2y= 14
(Divide both sides by 2 to isolate the variable)
y=7
To find x and the measure of MN and LM, solve for x in the following equation:
7x+9 = 11x-7
(Move 7x to the right side of the equation)
9 = 4x-7
(Move -7 to the right side of the equation.)
16= 4x
(Divide both sides by 4 to isolate the variable.)
4= x
Plug x back into both equations to get the measure of MN and ML
MN=7(4)+9
MN= 28+9
MN= 37
LM= 11(4)-7
LM= 44-7
LM= 37
I hope this helps!