Answer:
Reason SAS postulate
Step-by-step explanation:
The two triangles must be congruent.
Reason: SAS postulate
Answer:
Yes, the bathroom has enough water and shampoo for all of them.
Step-by-step explanation:
70L+ 60S < 5600
Putting 8 into L and 7 into S, gives:
70(8) + 60(7) = 560 + 420 = 980
That is definitely less than 5600, so water is OK.
Now,
0.02L + 0.01S
Putting 8 into L and 7 into S, gives:
0.02(8) + 0.01(7) = 0.16 + 0.07 = 0.23
That's definitely less than 2.5 liters, so shampoo is OK as well.
Hence, bathroom has enough water and shampoo for them.
Place your dot roughly around 2.23. The square root of 5 is 2.23
A system is inconsistent when there are no solutions between the two equations. Graphically, the lines will be parallel (they never meet!) and the slopes will be the same. But the y-intercepts will be different.
Let's look at the four equations, with each solved as needed, into y = mx + b form.
A: 2x + y = 5
y = 5 - 2x
y = -2x + 5
Compared to y = 2x + 5, the slopes are different, so this system won't be inconsistent. Not a good choice.
B: y = 2x + 5
Compared to y = 2x + 5, the slopes are the same and the y intercepts are the same. This system has infinitely many solutions. Not a good choice.
C: 2x - 4y = 10
-4y = 10 - 2x
-4y = -2x + 10
y = 2/4x -10/4
Here the slopes are different, so, like A this is not a good choice.
D: 2y - 4x = -10
2y = =10 + 4x
2y = 4x - 10
y = 2x - 5
Compared to y = 2x + 5 we have the same slopes and different y intercepts. The lines will be parallel and the system is inconsistent.
Thus, D is the best choice.
There are 7 meters in 279 inches.
- There are 2.54 centimeters in 1 inch.
- There are 100 centimeters in 1 meter.
- The number of inches is given to be 279.
- Unit conversion is a multi-step procedure that includes multiplying or dividing by a numerical factor, determining the appropriate number of significant digits, and rounding.
- First of all, we need to convert inches to centimeters.
- 1 inch equals 2.54 centimeters.
- 279 inches equals 2.54*279 centimeters.
- 279 inches equals 708.66 centimeters.
- Now, we need to convert these centimeters into meters.
- Meters in 100 centimeters = 1
- Meters in 1 centimeters = 1/100
- Meters in 708.66 centimeters = (1/100)*708.66
- Meters in 708.66 centimeters = 7.0866
- Thus, there are approximately 7 meters in 279 inches.
To learn more about unit conversion, visit :
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