Answer:
1. ![\dfrac{44}{13}=3\dfrac{5}{13}](https://tex.z-dn.net/?f=%5Cdfrac%7B44%7D%7B13%7D%3D3%5Cdfrac%7B5%7D%7B13%7D)
2. 9.6
3. 0
Step-by-step explanation:
Thales’ Theorem: If arms of an angle are cut by parallel straight lines, then the ratio of the lengths of the line segments obtained on one arm are equal to the corresponding segments obtained on the second arm.
1. By Thales's theorem,
![\dfrac{9}{4}=\dfrac{11-x}{x}\\ \\9x=4(11-x)\ [\text{Cross multiply}]\\ \\9x=44-4x\\ \\9x+4x=44\\ \\13x=44\\ \\x=\dfrac{44}{13}](https://tex.z-dn.net/?f=%5Cdfrac%7B9%7D%7B4%7D%3D%5Cdfrac%7B11-x%7D%7Bx%7D%5C%5C%20%5C%5C9x%3D4%2811-x%29%5C%20%5B%5Ctext%7BCross%20multiply%7D%5D%5C%5C%20%5C%5C9x%3D44-4x%5C%5C%20%5C%5C9x%2B4x%3D44%5C%5C%20%5C%5C13x%3D44%5C%5C%20%5C%5Cx%3D%5Cdfrac%7B44%7D%7B13%7D)
2. By Thales's theorem,
![\dfrac{8}{12}=\dfrac{x}{24-x}\\ \\12x=8(24-x)\ [\text{Cross multiply}]\\ \\12x=192-8x\\ \\12x+8x=192\\ \\20x=192\\ \\x=9.6](https://tex.z-dn.net/?f=%5Cdfrac%7B8%7D%7B12%7D%3D%5Cdfrac%7Bx%7D%7B24-x%7D%5C%5C%20%5C%5C12x%3D8%2824-x%29%5C%20%5B%5Ctext%7BCross%20multiply%7D%5D%5C%5C%20%5C%5C12x%3D192-8x%5C%5C%20%5C%5C12x%2B8x%3D192%5C%5C%20%5C%5C20x%3D192%5C%5C%20%5C%5Cx%3D9.6)
3. By Thales's theorem,
![\dfrac{4x}{5x}=\dfrac{4x-8}{6x-10}\\ \\\dfrac{4}{5}=\dfrac{4x-8}{6x-10}\\ \\5(4x-8)=4(6x-10)\ [\text{Cross multiply}]\\ \\20x-40=24x-40\\ \\20x=24x\\ \\4x=0\\ \\x=0](https://tex.z-dn.net/?f=%5Cdfrac%7B4x%7D%7B5x%7D%3D%5Cdfrac%7B4x-8%7D%7B6x-10%7D%5C%5C%20%5C%5C%5Cdfrac%7B4%7D%7B5%7D%3D%5Cdfrac%7B4x-8%7D%7B6x-10%7D%5C%5C%20%5C%5C5%284x-8%29%3D4%286x-10%29%5C%20%5B%5Ctext%7BCross%20multiply%7D%5D%5C%5C%20%5C%5C20x-40%3D24x-40%5C%5C%20%5C%5C20x%3D24x%5C%5C%20%5C%5C4x%3D0%5C%5C%20%5C%5Cx%3D0)
Answer:
fourth answer must be correct
(4)
Answer:y= -5
Step-by-step explanation:
-3(3)+4= -5
-3(3)= -9
-9 + 4= -5
Answer:
157 ft, since you didn't put if it was a diameter of a circle or not I just guessed it was a circle.
1 foot = 12 inches
Multiply to find the amount of inches.
12 * 2 = 24
Therefore, the answer is 24 inches.
Best of Luck!