Answer:
x=11
Step-by-step explanation:
Since there are three variables and three constants you add like terms.
3(x+15) = 3x + 40
Answer:
![x=16\dfrac{28}{37}\\ \\y=5\dfrac{1}{3}\\ \\z=7.5](https://tex.z-dn.net/?f=x%3D16%5Cdfrac%7B28%7D%7B37%7D%5C%5C%20%5C%5Cy%3D5%5Cdfrac%7B1%7D%7B3%7D%5C%5C%20%5C%5Cz%3D7.5)
Step-by-step explanation:
The diagram shows three paralel lines which divide the large triangle into three similar triangles.
By Thales theorem,
![\dfrac{5}{z}=\dfrac{y}{8}=\dfrac{2}{3}](https://tex.z-dn.net/?f=%5Cdfrac%7B5%7D%7Bz%7D%3D%5Cdfrac%7By%7D%7B8%7D%3D%5Cdfrac%7B2%7D%7B3%7D)
Then
![\dfrac{5}{z}=\dfrac{2}{3}\Rightarrow 2z=15,\ z=7.5\\ \\\dfrac{y}{8}=\dfrac{2}{3}\Rightarrow 3y=16,\ y=\dfrac{16}{3}=5\dfrac{1}{3}](https://tex.z-dn.net/?f=%5Cdfrac%7B5%7D%7Bz%7D%3D%5Cdfrac%7B2%7D%7B3%7D%5CRightarrow%202z%3D15%2C%5C%20z%3D7.5%5C%5C%20%5C%5C%5Cdfrac%7By%7D%7B8%7D%3D%5Cdfrac%7B2%7D%7B3%7D%5CRightarrow%203y%3D16%2C%5C%20y%3D%5Cdfrac%7B16%7D%7B3%7D%3D5%5Cdfrac%7B1%7D%7B3%7D)
From the similarity of triangles,
![\dfrac{x}{20}=\dfrac{z+8}{z+8+3}\\ \\\dfrac{x}{20}=\dfrac{7.5+8}{7.5+8+3}\\ \\\dfrac{x}{20}=\dfrac{15.5}{18.5}\\ \\x=20\cdot \dfrac{155}{185}=20\cdot \dfrac{31}{37}=\dfrac{620}{37}=16\dfrac{28}{37}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B20%7D%3D%5Cdfrac%7Bz%2B8%7D%7Bz%2B8%2B3%7D%5C%5C%20%5C%5C%5Cdfrac%7Bx%7D%7B20%7D%3D%5Cdfrac%7B7.5%2B8%7D%7B7.5%2B8%2B3%7D%5C%5C%20%5C%5C%5Cdfrac%7Bx%7D%7B20%7D%3D%5Cdfrac%7B15.5%7D%7B18.5%7D%5C%5C%20%5C%5Cx%3D20%5Ccdot%20%5Cdfrac%7B155%7D%7B185%7D%3D20%5Ccdot%20%5Cdfrac%7B31%7D%7B37%7D%3D%5Cdfrac%7B620%7D%7B37%7D%3D16%5Cdfrac%7B28%7D%7B37%7D)
Answer:
The correct function for this table is A Linear
Enjoy Brainly,
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Step-by-step explanation: