Answer:
900<x<1100
Step-by-step explanation:
The third side must be greater than the difference of the other two sides
10000- 1000 < 10x
9000< 10x
Divide by 10
9000/10 < x
900 < x
The third side must be smaller than the sum of the other two sides
10000+1000 > 10x
11000>10x
Divide by 10
11000/10>10x/10
1100>x
900<x<1100
The answer will be C.) 70 square feet
1. the complement is when two angles add up to 99 degrees and the supplement is when the two angles add up to 180 degrees.
2. Let x be the measure of the unknown angle .
3. Let 90 -x be it's complement and 180- x be the supplement of the angle .
4. Given 90-x=3x+9 the measure of the complement of an angle is 3x+9. Solve using the following steps.
99-x=3x+9
Add x-9 to both sides to isolate x-terms on right side and numbers on left
90-x+x-9=3x+9+x-9
90-x+x-9=3x+9+x-9
91=4x
divide by 4 to both sides yields
91/4=x
5. Given 3x+99=180-x. The measure of the supplement of an angle is 3x+99. So
3x+99=180-x
Add x+99 to both sides of equations to isolate x on right side and number on left
3x+99+x-99=180-x+x-99
4x=91
X=91/4
6. The angle is x=91/4
Answer:
0.0723 cubic feet < 1 cubic foot.
Step-by-step explanation:
A cube-shaped salt lick is ordered by a rancher and the length of each salt lick is 
foot.
Therefore, the side length of each salt lick of cube-shape is foot.
So, the volume of each salt lick is 
cubic feet.
Hence, this volume is less than 1 cubic foot. (Answer)
Answer:
Walt has 37 quarters. Hank has 33.
Step-by-step explanation:
Solve the given equation for q:
0.25q + 0.25q - 1.00 = 17.50
Simplify this, obtaining:
0.50q = 18.50
Simplifying this by multiplying both terms of this result by 100:
50 q = 1850
Thus, q = 1850/50 = 37
Walt has 37 quarters. Hank has 33.
Note that 37 + 33 = 70, and that 70($0.25) = $17.50. So our results are correct.
