Answer:
x < 4
Step-by-step explanation:
3/4(x+8)>1/2(2x+10) (multiply both sides by 4)
(4)(3/4)(x+8)>(4)(1/2)(2x+10)
3(x+8)>2 (2x+10) (expand parentheses by distribution property)
x(3)+8(3)>(2x)(2)+10(2)
3x+24>4x+20 (subtract 3x from both sides)
3x+24 - 3x > 4x+20- 3x
24 > x+20 (subtract 20 from both sides)
24 - 20 > x + 20 - 20
4 > x (rearrange)
x < 4
Area of hexagon = base * (apothem/2) * 6 = 3(base*apothem)
=3*15*20
=900 square units.
However, a hexagon consists of 6 equilateral triangles in which the apothem is 0.866 times the base, meaning that the apothem is shorter than the base.
Perhaps the base is 20 and apothem 15. The answer will come to be the same though.
Answer: 
Step-by-step explanation:
1. You know that:
- The roped-off area whose width is represented with <em>x,</em> it is created around a rectangular museum.
- The dimensions of the rectangular museum are: 30 ft by 10 ft.
- The combined area of the display and the roped-off area is 800 ft².
2. The area of the rectangular museum can be calculated with:
Where 
is the lenght and 
is the width.
You have that the lenght and the width in feet are:
3. Let's call 
the width of the roped-off area. Then, the combined area is:
Where
4. Substitute values and simplify. Then:
If a=-10;then:
a+1=-10+1=-9=b
-9>-10
if a=10; then
a+1=10+1=11=b
11>10
A)The pair of values for a and be are: a=-10, then the value of b would be: -9;
And a=10; then the value of b would be:11;
B) It isn´t possible to create a pair of values for a and be, in wich the numerical relationship shown in the given conditional stament is false, therefore b>a if a+1=b
Answer:
21 + x < 28
Step-by-step explanation:
27 is in fact greater than 28 if you where to input 6 into the x spot, this is the only one that's a true expression.
