In δabc shown below, : the following flowchart proof with missing statements and reasons proves that if a line intersects two sides of a triangle and divides these sides proportionally, the line is parallel to the third side: which reason can be used to fill in the numbered blank space? a. 1. ∠a ≅ ∠a 2. reflexive property of equality b. 1. ∠a ≅ ∠b 2. corresponding parts of similar triangles c. 1. ∠a ≅ ∠b 2. corresponding angles postulate d. 1. ∠b ≅ ∠b 2. reflexive property of equality

The answer is D.

Step-by-step explanation:

Since B is involved in both of the triangles, it would make since. The angles of B are the same for each triangle because of the Reflexive Property of Equality.

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a

1. d.90

2. e. none of these (80)

3. a. 0

4. b. 6

5. e. none of these (10)

6. a. 5