The system of equations have no solution.
Explanation:
The equations are 
and 
To find the two numbers, let us solve the equations using substitution method.
From the equation , let us determine the value of r,
Let us substitute the value of r in , we get,
which is not possible.
This means that the system has no solution.
Answer:
325 mph and 420 mph
Step-by-step explanation:
If the speed of the slower plane is x, then the speed of the faster plane is x + 95.
The distance traveled by the slower plane is 3x.
The distance traveled by the faster plane is 3(x + 95).
The total distance is 2235 miles.
3x + 3(x + 95) = 2235
3x + 3x + 285 = 2235
6x = 1950
x = 325
x + 95 = 420
The speed of the planes is 325 mph and 420 mph.
Answer:
95435.20 miles
Step-by-step explanation:
just add them both together
B i hope it helps if not sorry
Answer:
1. 9 < s < 17
2. 5 < MN < 19
3. AD > BD
Step-by-step explanation:
1. The triangle inequality tells you the sum of any two sides of a triangle must exceed the length of the other side. (Some versions say, "must be not less than ..." rather than "must exceed.") In practice, this means two things:
- the sum of the shortest two sides is greater than the length of the longest side
- the length of any side lies between the sum and the difference of the other two sides
Here, we can use the latter fact to write the desired inequality. The difference of the given sides is 13 -4 = 9; their sum is 13 +4 = 17. The third side must lie between 9 and 17. If that side length is designated "s", then ...
9 < s < 17
(If you don't mind a "triangle" that looks like a line segment, you can use ≤ instead of <.)
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2. Same as (1) using different numbers.
12 -7 < MN < 12 +7
5 < MN < 19
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3. Side CD is congruent to itself, and side CA is shown congruent to side CB. This means the requirements of the Hinge Theorem are met. That theorem tells you the longer side is opposite the greater angle:
AD > BD
