EF = 50 in.
In similar figures, corresponding sides are proportional. We use the similarity statement ABCD~EFGH to write a proportion:

Cross multiply the proportion:
45*x = 75*30
45x = 2250
Divide both sides by 45:
45x/45 = 2250/45
x = 50
Answer:
The Best answer choice is D
Step-by-step explanation:
This one is the best choice because it fits the shape the best. The other ones don't complete the shape but D does.
Hope that helps!
Answer: m∠BCE = 63°
m∠BAD = 76°
Step-by-step explanation:
Problem 1:
Given
m∠BEC = 90°
m∠EBC = 27°
Total = 117°
Solution:
Subtract 180° - 117° = m∠BCE = 63°
Problem 2:
Given
m∠ADE = 52°
m∠ABE = 52°
Total = 104°
Solution:
Subtract 180° - 104° = m∠BAD = 76°
Answer:
35
Step-by-step explanation:
55-[(5x2x3)-5x2]
55-[30-5x2]
55-20
35