The true answer is A. all parallelograms are rectangles
<span>Let the height of tree be denoted as AB and the shadow cast by the tree be BE. ABE is the triangle formed the tree, rays and the ground. Let the height of the person be CD and the length of his shadow be DE. CDE is the triangle formed by the person, rays and the ground.
We have two triangles. Both the person and the tree stand vertically over the horizontal ground, therefore they make 90 degrees with the ground. The angle formed at the ground is the same for the both the triangles. Therefore, by AA similarity the two triangles are similar.
We know that if two triangles are similar, then their sides are proportional.
Therefore,
AB/CD =BE/DE
AB/6 = 143/11
AB= (143/11) *6
AB = 78 ft.</span>
Answer:
Advance tickets-$15
Same-day tickets-$20
Step-by-step explanation:
let x be the cost of advance tickets and y cost of same-day tickets:
Given that there were 40 advance and 25 same-day tickets for a total of $1100:
#Make x the subject in i and substitute in ii:
Hence, advance tickets cost $15 each while same-day tickets cost $20 each.
