Answer:
∠DBC=120
Step-by-step explanation:
2x+(x+90)=180
2x+x+90=180
3x+90=180
3x=180-90
3x=90
x=90/3
x=30
blug x in to ∠DBC
∠DBC=30+90=120
Answer: Yes, they are similar- and the Scale Factor is 2.5
Step-by-step explanation: To find the scale factor, simply divide the larger number on the bigger shape by its counterpart in the smaller image, so for example: 60 divided by 24 is 2.5, and there is your scale factor. You can further test this by multiplying 4 x 2.5 which gives us 10, the other value on the larger shape.
Answer:

Step-by-step explanation:
x2 − 9x + 20

Answer:
Option (C)
Step-by-step explanation:
From the map attached,
Area of the rectangular yard = length × width
Length of the yard = 10 units
Width of the yard = 8 units
Area = 10 × 8
= 80 square yards
Since, pool is a composite figure of two rectangles,
Therefore, area of the pool = Area of large segment + Area of the small pool
= (5 × 6) + (3 × 3)
= 30 + 9
= 39 square units
Ratio of Area of the pool and area of yard = 
Therefore, Option (C) will be the answer.