<span>2/3d2ef5 i believe, hope it helps
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Answer:
x = 60, y = 25
Step-by-step explanation:
Δ ABC has 3 congruent sides and is equiangular, thus
the 3 angles are congruent, all 60°
x = 60
∠ ABC and ∠ CBD are adjacent and supplementary, sum to 180° , then
∠ CBD = 180° - 60° = 120°, so
y = 180 - (120 + 35) = 180 - 155 ← sum of angles in triangle
y = 25
All the triangles are similar, so the ratio of (long leg)/(short leg) is the same. The long leg of ΔADB is
.. AD = AC -DC = 20 -4
.. AD = 16
Then
.. (long leg)/(short leg) = AD/DB = BD/DC
.. 16/h = h/4
.. h^2 = 64
.. h = 8
Selection D is appropriate.
_____
You may see this again. The altitude (h) from the right angle in a right triangle is the geometric mean of segments AD and DC. That is,
.. h = √((AD)*(DC))
