Answer:

Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Answer:
They are similar because 9/11 = 27/33.
Step-by-step explanation:
The width:length ratio is the same for each rectangle, so they are similar.
_____
Please note that it is actually possible to write these fractions using numbers and symbols only. (And, they're much easier to read this way.)
Answer:
Length of diagonal is 18 m
Step-by-step explanation:
Given in trapezoid ABCD. AC is a diagonal and ∠ABC≅∠ACD. The lengths of the bases BC and AD are 12m and 27m. We have to find the length of AC.
Let the length of diagonal be x m
In ΔABC and ΔACD
∠ABC=∠ACD (∵Given)
∠ACB=∠CAD (∵Alternate angles)
By AA similarity theorem, ΔABC~ΔACD
∴ their corresponding sides are proportional

Comparing first two, we get
⇒ 
⇒ 
⇒ 
hence, the length of diagonal is 18 m