Which conclusion of the following statement must always be true?“If angle 1 and angle 2 are alternate interior angles of parallel lines cut by a transversal, then”

angle 1 and angle 2 are supplementary.

angle 1 and angle 2 are complementary.

angle 1 and angle 2 are a linear pair.

angle 1 is congruent to angle 2.

Answers

Answer 1
Answer:

Answer:

option B. they are complementary

Step-by-step explanation:


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Yvonne bought 4 7/8 yards of material to make a dress.If Yvonne wanted to make 3 dresses that use 4 7/8 yd of fabric each, explain how she could use estimation to make sure she has enough fabric for all of them.

Answers

Answer:

15 yards.

Step-by-step explanation:

Each dress need fabric = 4(7)/(8) yards

                                       = (39)/(8) yards

She needs fabric to make 3 dresses = (39)/(8) × 3

                                                            = (117)/(8)

                                                            = 14(5)/(8) yards

She will need  14(5)/(8) yards or 14.63 ≈ 15 yards of fabric for all of 3 dresses.

She can round 4 7/8 as 5 yards of material. and since she's making three, multiply 5 yards by 3 dresses. that equals 15 yards of material needed.


I need help with this please anyone this is 7th grade math homework.

Answers

Answer:

Yes, the number of quarters and the number of minutes are in a proportional relationship.

Step-by-step explanation:

The number of minutes is 6 times the number of quarters. This can be written as the equation y = 6x.

PLEASE HELP! THIS IS THE LAST QUESTION ON MY HOMEWORK!Fracisco's game involves 3 green,2 yellow,4 red, and 3 black marbles. If he randomly draws three marbles from the bag, without replacement, what is the probability that he will draw yellow, and then red, and then black?

Answers

(2/12) X (4/11) X (3/10) = .018
(2/12) X (4/11) X (3/10) = .018

the train traveled at an average speed of 48 miles per hour for the first 2 hours and at 60 miles an hour for the next hours. What was the train's average speed for the 6-hour trip? ( Average speed equals total miles divided by total time.)

Answers

Answer:  56 mph

Step-by-step explanation:

48 miles x 2 hours = 96 miles

60 miles x 4 hours =  240 miles

240 + 96 = 360 total miles

360 / 6 (hours) = 56 mph

patty bought a shirt for $14.50 plus9% tax. ales bought a sweater for $22.95 plus 9% write the sum in dollars that patty and ales paid including tax

Answers

Answer: The amount that patty and ales paid including taxes was $40.96.

Step-by-step explanation:

To calculate the cost of the shirt and sweater together, we first calculate the total cost of shirt and sweater individually.

  • Amount paid by Patty:

Shirt of $14.50 + 9% tax

Tax paid = 9\%=(9)/(100)=0.09

Amount of tax paid = ($14.50 × 0.09) = $1.305

Amount paid by patty = $14.50 + $1.305 = $15.805

  • Amount paid by Ales:

Sweater of $22.95 + 9% tax

Tax paid = 9\%=(9)/(100)=0.09

Amount of tax paid = ($22.95 × 0.09) = $2.0655

Amount paid by ales = $22.95 + $2.0655 = $25.0155

  • Total amount paid by both Patty and ales = $15.805 + $25.0155 = $40.96

Hence, the amount that patty and ales paid including taxes was $40.96.

Two angles in a triangle measure 33 and 112 What is the measure of the third angle?

Answers

All the angles of a triangle always add up to 180 degrees.

For now, x represents the missing angle.
180 = 33 + 112 + x

Add 33 + 112.
180 = 145 + x

Subtract 145 from both sides.
35 = x

So, the measure of the third angle is 35 degrees.

Answer:

35 I got it right on the test.

Step-by-step explanation: