8.11-10. -4), (5.5) find slope
1 answer:
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Answer:
A
Step-by-step explanation:
Since DE is parallel to AB and intersects the other 2 sides, it divides those sides proportionally, that is
=
Note that AD = 33 - 22 = 11
Substitute values into the ratio
=
=
( cross- multiply )
2x = 16 ( divide both sides by 2 )
x = 8
To find y use similar triangles
Δ ABC is similar to Δ DEC, thus ratios of corresponding sides are equal
=
, substitute values
=
=
( cross- multiply )
3y = 36 ( divide both sides by 3 )
y = 12
Thus y = 12, x = 8 → A