Answer:
A: Yes: triangle DBC is a dilated figure of DEF so their sides would be congruent is scaled to equality. Similar implies that the two triangles could be equal if you use transformations (translation, reflection, etc) and a dilation is a form of translation
B: BC; each of the sides are scaled and looking at the two triangles it is a) easy to physically determine that they are the same and b) their placements within the triangle indicate their alignment
C: C; Once again physicality and placement indicate the alignment of the two and both of them are 90 degrees
Step-by-step explanation:
Answer:30 weeks
Step-by-step explanation:
60+7w=120+5w
2w=60w=30
This is actually an easy one.
4 day= 24 hours X 4 = 96 hrs.
4560 = 96 hrs.
4560/96 = per hr.
47.5 watts per hr.
Since 1 day = 24 hrs, 47.5 X 24 = 1140 Watts per day.
See? Simple and easy if you solve parts at a time!
Answer:
B. π/3
Step-by-step explanation:
I calculated it logically
Answer:
Orange = 12
Grape = 15
Cola = 23
Step-by-step explanation:
Turning this into equations you can give each soda a variable
Cola = C | Grape = G | Orange = R
Then you get:
8 + G = C
R + 3 = G
C + G + R = 50
We want to get a variable all by itself in an equation so first I'm going to put the second equation (R + 3 = G) in the first (8 + G = C) by replacing the G to get
8 + (R + 3) = C Combine the variables 11 + R = C and put that new equation into the last equation
(11 + R) + G + R = 50
Now plug our original second equation (R + 3 = G) into our third to get
(11 + R) + (R + 3) + R = 50
Combine and get
14 + 3R = 50 Subtract over the 14
3R = 36 Divide by 3
Orange Sodas = 12
Our new 3rd Equation is now: C + G + 12 = 50, subtract over 12 to get
C + G = 38
Plug either equation 1 or 2 into that one, I'll do 1
(8 + G) + G = 38
8 + 2G = 38
2G = 30
Grape Sodas = 15
Now our 3rd equation is C + 15 = 38, subtract over 15
Cola Sodas = 23
Orange = 12
Grape = 15
Cola = 23
12 + 15 + 23 = 50
