Answer:
The proof is below.
Step-by-step explanation:
Given two triangles similar.
we have to prove that ratio 
As, △OKE∼△VDE
∴ their corresponding sides are in same proportion.

⇒ 
⇒ [tex}\frac{EK}{EO}=\frac{VE}{ED}[/tex]
Hence Proved.
Answer:
y = 2
Step-by-step explanation:
Given
=
( cross- multiply )
10(2y - 1) = 15y ← distribute left side
20y - 10 = 15y ( subtract 15y from both sides )
5y - 10 = 0 ( add 10 to both sides )
5y = 10 ( divide both sides by 5 )
y = 2
Total number of possible outcomes = 36
Total number of outcomes with sum even = 18
P(even) = 18/36 = 1/2
Answer: 1/2
7. a
Given,
Diameter = 16 feet
So, radius = 16 feet/2 = 8 feet
Circumference = 2πr
So, circumference of this circle
= 2πr
= 2 × 3.14 × 8 feet
= 3.14 × 16 feet
= 50.24 feet
b.
Given,
Diameter = 16 feet
So, radius = 16 feet/2 = 8 feet
Area = πr²
So, area of this circle
= 3.14 × (8 feet)²
= 3.14 × 64 feet²
= 200.96 feet²