Answer: x=18, A=80 degrees
Step-by-step explanation:
By AA, we can say that
DEF. So:
1. Since the lengths of corresponding sides of similar triangles in equal ratio, we can say that
![\frac{AB}{DE}=\frac{AC}{DF}\\\frac{20}{30}=\frac{12}{x}\\\frac{2}{3}=\frac{12}{x}\\\frac{12}{18}=\frac{12}{x}\\x=18](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BDE%7D%3D%5Cfrac%7BAC%7D%7BDF%7D%5C%5C%5Cfrac%7B20%7D%7B30%7D%3D%5Cfrac%7B12%7D%7Bx%7D%5C%5C%5Cfrac%7B2%7D%7B3%7D%3D%5Cfrac%7B12%7D%7Bx%7D%5C%5C%5Cfrac%7B12%7D%7B18%7D%3D%5Cfrac%7B12%7D%7Bx%7D%5C%5Cx%3D18)
2. Since corresponding angles in similar triangles are equal, ![\angle A=\angle D=80^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20A%3D%5Cangle%20D%3D80%5E%7B%5Ccirc%7D)
Given the value of t3 and t7, and t7 = t3 * r^4, where r represents the geometric quotient.
So 7104 = 444 * r^4 -> solve for r, you will get r = 2 or -2
So, for r = 2, t6 = t7 / r = 7104 / 2 = 3552
For r = -2, t6 = -3552
Answer:
Opposite exterior angle
Step-by-step explanation:
I believe that you can yes
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Multiply the values
2 x 7 = 14
He would drink 14 litres of water in a week
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