Answer:
We know that,
Angle E = 123
Angle B = 57
We observe that,
Angle DEB and Angle E form a linear pair and are supplementary.
Angle DEB + Angle E = 180
Angle DEB = 180-123
=57
We know that if two lines are parallel, the corresponding angles are equal.
Conversely, if the corresponding angles are equal, then the two lines are parallel.
Here,
As Angle B and Angle DEB are corresponding angles are equal in measure (Angle B = Angle DEB = 57), we can say that Line AC and Line DF are parallel.
Answer:
Height of tree = 15 ft
Step-by-step explanation:
Given:
Length of shadow (Base) = 8 ft
Length from the tip to top of the tree (Hypotenues) = 17 ft
Find:
Height of tree = ?
Computation:
Using Pythagoras theorem:

Height of tree = 15 ft
Step-by-step explanation:
1 face area = length x width (aka length x length since cube)
therefore 1 side = ±√144 cm = 12 cm or - 12cm (rej as length > 0cm)
volume = length x width x height = 12 x 12 x 12 = 1728cm^3
Topic: Mensuration
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I’m pretty sure the answer is 7/18