Let's go through each answer.
A.
Answer: The amount left over was 4.05 L.
Estimation: 3.15 + 4.75 is about 7.
7 L – 4 L = 3 L
The amount left over was about 3 L.
This is incorrect because 3.15+4.75 is closer to 8 than 7.
B.
Answer: The amount left over was 3.95 L.
Estimation: 3.15 + 4.75 is about 8.
8 L – 4 L = 4 L
The amount left over was a little less than 4 L.
This is correct because 3.15+4.75 is close to 8 and to find the amount left over you do have to subtract.
The correct answer is B.
Answer: The amount left over was 3.95 L.
Estimation: 3.15 + 4.75 is about 8.
8 L – 4 L = 4 L
The amount left over was a little less than 4 L.
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Answer:
r = 225 Mil/h speed of the airplane in still air
Step-by-step explanation:
Then:
d is traveled distance and r the speed of the airplane in still air
so the first equation is for a 4 hours trip
as d = v*t
d = 4 * ( r + 25) (1) the speed of tail wind (25 mil/h)
Second equation the trip back in 5 hours
d = 5 * ( r - 25 ) (2)
So we got a system of two equation and two unknown variables d and
r
We solve it by subtitution
from equation (1) d = 4r + 100
plugging in equation 2
4r + 100 = 5r - 125 ⇒ -r = -225 ⇒ r = 225 Mil/h
And distance is :
d = 4*r + 100 ⇒ d = 4 * ( 225) + 100
d = 900 + 100
d = 1000 miles
AAS Postulate
It is given that CE = BD so we know "S" (representing side) has to be in the three letter postulate.
It is also given that angle DBA and angle CEA are right angles, so therefore they are congruent. Now we know that an "A" must also be in the postulate.
Lastly, we know that the triangles have a second angle, EAB, in common because they share it overlappingly. So there must be another "A" in the postulate.
Now we need to look at the order in which it is presented. The order follows Angle, Angle, Side so the postulate must be the AAS postulate. Hope this helps!
