Which is a correct two column proof?

Option a is the correct answer.

Solution:

Option a:

Step 1: Given

line l and m are parallel lines.

Step 2: ∠p and ∠d are vertically opposite angles.

Vertical angle theorem:

If two angles are vertically opposite then the two angles are congruent.

∠p ≅ ∠d by vertical angle theorem.

Step 3: ∠d and ∠c are same side interior angles.

we know that, interior angles in the same side are supplementary.

So, ∠d and ∠c are supplementary.

Step 4: ∠c and ∠k are vertically opposite angles.

∠c ≅ ∠k by vertical angle theorem.

Step 5: By step 2 and step 3,

∠p and ∠c are supplementary.

Substitute step 4, we get

∠p and ∠k are supplementary.

Hence it is true.

Option b:

Step 1: Given

line l and m are parallel lines.

Step 2: ∠p ≅ ∠k by corresponding angles is given.

∠p and ∠h are the corresponding angles.

∠p and ∠k are not corresponding angles.

From step 2 on wards it is not true. so need not to verify the other steps.

Hence it is false.

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

happy to

pls mark as brainliest