B just trust me bro I got you
Answer:
7/6 or 1 1/6
Step-by-step explanation:
First convert 2 1/3 into just a normal fraction
2 1/3 = 7/3
Next set up the equation and multiply from left to right on both the top and bottom.
1/2 x 7/3 = 7/6
1 x 7 = 7
2 x 3 = 6
Answer: 7/6 or 1 1/6
They are vertical angles, thus they are equal to each other:
5x + 12 = 6x - 10
22 = x
x = 22
ANSWER
The length of the diagonal is 5 ft
EXPLANATION
The diagram of the rug with the diagonal is:
The diagonal and the sides form a right triangle, so we can use the Pythagorean theorem to find x, the length of the diagonal:
![\begin{gathered} x^2=3^2+4^2 \\ x=\sqrt[]{9+16} \\ x=\sqrt[]{25} \\ x=5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%5E2%3D3%5E2%2B4%5E2%20%5C%5C%20x%3D%5Csqrt%5B%5D%7B9%2B16%7D%20%5C%5C%20x%3D%5Csqrt%5B%5D%7B25%7D%20%5C%5C%20x%3D5%20%5Cend%7Bgathered%7D)
3x - 36 + 2x + 26 = 180
5x - 10 = 180
5x = 180 + 10
5x = 190
x = 190/5
x = 38 <==
