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Alexxx [7]
2 years ago
5

AC, DF and YZ are straight lines and all angles are in degrees.

Mathematics
2 answers:
Alinara [238K]2 years ago
7 0

Answer:

ac is parallel to df because it doesn't intersect with each other

schepotkina [342]2 years ago
6 0
Angles on a straight line sum to 180
x + 25 + 2x + 50 = 180
3x + 75 = 180
3x = 105
X = 35
IF line AC and DF were parallel, this means that 2x + 50 = 5x - 55 because corresponding angles are equal
2(35) + 50 = 120
5(35) - 55 = 120
Thus, AC is parallel to DF
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Step-by-step explanation:

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\Rightarrow\ x- (\dfrac{5x+2x}{15})=0.5 \ ha\\\\\Rightarrow\ x- (\dfrac{7x}{15})=0.5 \ ha\\\\\Rightarrow\  \dfrac{15x-7x}{15}=0.5 \ ha\\\\\Rightarrow\  \dfrac{8x}{15}=0.5 \ ha\\\\\Rightarrow\  x=0.5\times\dfrac{15}{8} \ ha\\\\\Rightarrow\  x=0.9375 \ ha

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Hence, 1250\ m^2 of the land is on potatoes.

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