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Answer:
<h3><u>3/4</u></h3>
Step-by-step explanation:
1/3+5/12=3/4
Answer:
- length: 72 feet
- width: 48 feet
Step-by-step explanation:
The sum of length and width is half the perimeter, 120 feet. Since the ratio of length to width is 3 : 2, the length is 3/(3+2) = 3/5 of the sum of length and width.
length = 3/5 × 120 ft = 72 ft
width = 2/3 length = 2/3 × 72 ft = 48 ft
The length and width of the garden are 72 feet and 48 feet, respectively.
Answer:
P = 2n + 8m - 1
Step-by-step explanation:
A <u>trinomial is an expression or equation that has three terms</u>. A term is when between the numbers or variables, the operations are neither subtraction nor addition, or when there is only one number.
If two terms have the <u>same variable</u>, called <u>like terms</u>, they can be combined by addition or subtraction.
The perimeter is the total length of all the sides.
The formula for the perimeter of a triangle is
for each of the three sides.
Substitute each of the three sides.
![P = n + (2m + n) + (6m - 1)](https://tex.z-dn.net/?f=P%20%3D%20n%20%2B%20%282m%20%2B%20n%29%20%20%2B%20%286m%20-%201%29)
brackets can be removed
rearrange equation according to like terms
collected the like terms by addition
Answer:
![x=\frac{3}{5}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B3%7D%7B5%7D)
Step-by-step explanation:
Midpoint of a line is a point that divides it into two equal segments.
As B is the midpoint of line segment AC,
![AB=BC](https://tex.z-dn.net/?f=AB%3DBC)
Put ![BA=8x+9\,,\,CA=28x-3](https://tex.z-dn.net/?f=BA%3D8x%2B9%5C%2C%2C%5C%2CCA%3D28x-3)
To find value of
, solve ![8x+9=28x-3](https://tex.z-dn.net/?f=8x%2B9%3D28x-3)
Therefore,
![8x+9=28x-3\\9+3=28x-8x\\12=20x\\x=\frac{12}{20}\\ x=\frac{3}{5}](https://tex.z-dn.net/?f=8x%2B9%3D28x-3%5C%5C9%2B3%3D28x-8x%5C%5C12%3D20x%5C%5Cx%3D%5Cfrac%7B12%7D%7B20%7D%5C%5C%20x%3D%5Cfrac%7B3%7D%7B5%7D)
So, value of
is ![\frac{3}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D)