From the following figure, why can you not conclude that lines l and m are parallel?
corresponding angles postulate are not congruent
alternate exterior angles theorem are not congruent
alternate interior angles theorem are not congruent
same side interior angles theorem are not congruent

A

Step-by-step explanation:

For the lines to be parallel then the 2 corresponding angles would have to be congruent. However, they are not , one is 120 the other is 118

Hence corresponding angles postulate are not congruent.

Corresponding angles postulate are not congruent

Step-by-step explanation:

In the given picture , we have two lines ( line l and m) intersecting by a transversal line.

The pair of corresponding angles are 120° and 118°.

But the corresponding angles postulate says that when two parallel lines are cut by a transversal then the corresponding angles formed are congruent .

But 120°≠118°

Hence,  l and m are not parallel

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.