You multiply the 2 together 4 5/6 and 2 2/3.
4 5/6=29/6
2 2/3=8/3
you multiply the tops together then the bottoms together
29*8=232
3*6=18
232/18=116/9
Answer:
The answer is 14.5
Step-by-step explanation:
The supplement of < 72 has the same measure as < (4x + 8). Therefore, < (4x + 8) must equal 108°. We can establish the following equality statement to solve for x:
< (4x + 8) + < 72° = 180°
Combine like terms:
4x + 80 = 180°
Subtract 80 from both sides:
4x + 80° - 80° = 180° - 80°
4x = 100
Divide both sides by 4 to solve for x:
4x/4 = 100/4
x = 25
To verify whether the value of x is correct, substitute its value into the equality statement:
< (4x + 8)° + < 72° = 180°
< [4(25) + 8]° + < 72° = 180°
< (100 + 8)° + < 72° = 180°
< 108° + < 72° = 180°
180° = 180° (True statement. Therefore, the correct answer is x = 25).
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The length and width of the rectangle are: ![2x^2y^2 , 3xy^3](https://tex.z-dn.net/?f=2x%5E2y%5E2%20%2C%203xy%5E3)
<h3>What is the area of the rectangle?</h3>
The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
The area of a rectangle is represented by the expression
.
The area of the rectangle = ![2x^2y^2 \times 3xy^3](https://tex.z-dn.net/?f=2x%5E2y%5E2%20%5Ctimes%203xy%5E3)
= ![6x^3y^5](https://tex.z-dn.net/?f=6x%5E3y%5E5)
So, the length and width of the rectangle are: ![2x^2y^2 , 3xy^3](https://tex.z-dn.net/?f=2x%5E2y%5E2%20%2C%203xy%5E3)
Learn more about the area;
brainly.com/question/1658516
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