Which of the following statements are true? select all that apply

  A, C, D

Step-by-step explanation:

When lines are parallel, alternate interior angles at a transversal (5 & 6) are congruent, as are corresponding angles (2 & 3), (2 & 4). The converse is also true: congruent angles mean the lines are parallel.

Angles 2 & 3 are corresponding angles at the transversal r if lines p and q are parallel, so their congruence will guarantee that those lines are parallel. (choice A)

Angles 2 & 4 are corresponding angles at the transversal q if lines r and s are parallel, so their congruence will guarantee that those lines are parallel. (choice C)

Angles 5 & 6 are alternate interior angles at the transversal p if lines r and s are parallel, so their congruence will guarantee that those lines are parallel. (choice D)

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Angles 5 and 7 have no common side, so their congruence does not guarantee anything about the lines that create them. Choice B is not applicable.

The question is incomplete:

Lisa and Tomas Lopez are buying a new minivan that has a base price of $22,510.the options total $8,062 and destination charge is $770. The dealer's cost is estimated to be 91% of the base price and 88% of the options.

-What is the sticker price of the vehicle?

-Find the dealer's percent of the base price.

-Find the dealer's percent of the options price.

-What is the estimated dealer's cost?

-What is the sticker price of the vehicle? $31,342

-Find the dealer's percent of the base price: $20,484

-Find the dealer's percent of the options price: $7,094

-What is the estimated dealer's cost?  $28,348

Step-by-step explanation:

-The sticker price is the result of adding the base price plus the options plus the destination charge.

Sticker price= base price + options + destination charge

Sticker price= $22,510+$8,062+$770

Sticker price= $31,342

-Dealer's percent of the base price: It is  91% of the base price:

$22,510*91%= $20,484

-Dealer's percent of the options price: It is  88% of the options:

$8,062*88%= $7,094

-Estimated dealer's cost= Percent of base price+percent of options price+destination charge

Estimated dealer's cost= $20,484+$7,094+$770

Estimated dealer's cost=$28,348