Which compound inequality could be represented by the graph? ufu -5 -4 -3 -2 -1 1 2 4 5 O -45x4 0-2 sxs-1 O xs-1 or x > 0 x &
lt; 3 or x>-1
2 answers:
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Answer:
116.67 m
Step-by-step explanation:
Two triangles are said to be similar if their corresponding angles are equal and the ratio of their sides are in the same proportion.
From the image attached:
∠A = ∠C = 90° (right angled triangle).
∠ABE = ∠CBD (vertically opposite angles are equal to each other)
The angle-angle similarity postulate states that If two angles of one triangle are equal to two angles of another triangle, then both triangles must be similar. Hence:
Since, ∠A = ∠C and ∠ABE = ∠CBD, we can say that ΔABE and ΔCBD are similar triangles. Since they are similar, the ratio of their corresponding sides is equal. Therefore:
BC / AB = CD / AE
BC = 140 m, AB = 30 m, AE = 25 m
substituting:
140 / 30 = CD / 25
CD = (140 / 30) * 25
CD = 116.67 m
The width of the canal = CD = 116.67 m
