pbarbee3034
29.04.2021 •
Mathematics
Brandon just bought a new coffee table. The length of the coffee table is 5 more than 3 times the width. If the perimeter of the coffee table top is 58 inches, what is the length and width of the coffee table?
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Ответ:
Ответ:
The length is 23 inches and the width is 6 inches.
Step-by-step explanation:
The perimeter for a rectangular shape is represented as:
P = 2L + 2W, where L represents length and W represents width
We can represent the length as:
L = 3W + 5
Substituting this into the perimeter function, we get:
P = 2 (3W + 5) + 2W
Substituting 58 for P, we get:
58 = 2 (3W + 5) + 2W
58 = 6W + 10 + 2W
58 = 8W + 10
58 - 10 = 8W + 10 - 10
48 = 8W
48 / 8 = 8W / 8
6 = W
With 6 being the established value for the width, we can substitute this back into the equation for length:
L = 3W + 5
L = 3(6) + 5
L = 18 + 5
L = 23
To check our work, we can substitute both the width and length into the perimeter equation:
P = 2L + 2W
58 = 2(23) + 2(6)
58 = 46 + 12
58 = 58
Therefore, length is 23 inches and the width is 6 inches.
Ответ:
x=117
Step-by-step explanation:
since there is 2 angles that they already give you the measurements with. you try to solve the 101 angle and subtract 180-101= 79. this is the angle beside 101. since a triangle is equal to 180 degrees; you add the 38 and 79 which equals 117. you subtract 180-117=63. That is the other angle on the inside of the triangle.