The value of x is 4.
Given that diagonals of a rectangle measure x+5 feet and 2x+1 feet as shown in the attached figure.
The diagonal of a rectangle is a line or straight line that connects the opposite corners or vertices of the rectangle.
In the given figure ABCD is a rectangle.
OA=2x+1 and OD=x+5 [Given]
AC and BD are diagonals of a rectangle.
As we know that the diagonals of a rectangle are always equal.
So, AC = BD
We can also write it as,
2×OA=2×OD
2×(2x+1) =2×(x+5)
Apply the distributive property a(b+c)=ab+ac, we get
4x+2=2x+10
Subtract 2x from both sides, we get
4x+2-2x=2x+10-2x
2x+2=10
Subtract 2 from both sides, we get
2x+2-2=10-2
2x=8
Divide both sides by 2, we get
2x/x=8/2
x=4
Hence, the value of x=4 when diagonals of a rectangle measure x+5 feet and 2x+1 feet.
Learn more about rectangles from here brainly.com/question/1549055.
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The answer is 24. it works like this. you subtract 2 from 12 and get 10. then add 5 to 10 to get 15. then subtract 2 from 15 and get 13. 13+5 is 18. and so on
The volume of the larger cube is 227 inches cube.
<h3 /><h3 /><h3>Volume of a cube is describe below:</h3>
where
L = length
The small cube has the following volume:
Let
The side length of the small cube = x
Therefore,
95 = x³
x = ∛95
x = 4.56290264
x ≈ 4.6
Its side length is 1.5 inches less than a second larger cube. Therefore,
- length of larger length cube = (x + 1.5 )inches = 4.6 + 1.5 = 6.1 inches
Therefore, the volume of the larger cube can be found as follows:
Volume = 6.1³
volume = 226.981
volume ≈ 227 inches³
learn more on cubes here:brainly.com/question/2671825?referrer=searchResults