Answer:
137 degrees
Step-by-step explanation:
supplementary angles add up to 180 degrees
180-43=137
Let's start with a picture.
We see RST is smaller, and BC is parallel to but in the opposite direction to its corresponding segment ST. Both have slope -1.
If we look at the difference of points (technically called vectors but we don't have to go there) we get
C-B=(-2,2)
T-S=(1,-1)
Without further calculation we can see T-S is half the length of C-B.
The problem asks for a dilation followed by a reflection. We know the dilation scale is k=1/2 because the new triangle is half the size.
After dilation we get A'B'C':
A'(3,2), B'(-1,0), C'(-2,1)
We see now we need a reflection that flips the coordinates x and y. That's the +45° line through the origin, namely y=x.
Answer: k=1/2, y=x
Answer: About 8.5 cubic yards
Step-by-step explanation:
Given : The length of the garden = 16 ft.
The width of the garden = 34 ft.
The depth of the thick layer of topsoil on the garden = 5 inch
=
[Since 1 foot = 12 inches]
The volume of a rectangular prism :-
, where l is length , w is width and h is height.
The number of cubic feet of topsoil required will be
Since 1 yard = 3 feet
Multiply all the numbers of options together, so 5x3x4 to get 60 possible outfits.
Answer:
Mr. Adams drove 6.3 Miles
Step-by-step explanation:
