What are the true and false statements for If two planes intersect, then their intersection is a line. Include converse, inverse and contrapositive.

Answer and Step-by-step explanation:

Solution:

Statement:

If two planes intersect  their intersection is a line.

Suppose that

P =if two planes intersect.

q = then their intersection is line.

¬p = if two planes do not intersect.

¬q = then their intersection is not a line.

Converse:

If two planes intersect their intersection is a line.

P → q

Inverse:

If two planes do not intersect, then their intersection is not a line.

¬p → ¬q

Contrapositive:

If two planes intersection is not a line, then they do not intersect.

¬q → ¬p

the image of (6, 9) under a dilation is (4, 6). the scale factor is

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2