Given:

Mathematics

2 answers:

Angelina_Jolie [31]3 years ago

4 0

Answer:

The correct match of statement with reasons is below.

Step-by-step explanation:

1. AB||DC and AB = CD Given

2. ∠1 = ∠4 If lines are parallel, then alternate interior

angles are equal.

3. AC=AC Reflexive

4.Triangle ABC is SAS

congruent to triangle CDA.

5. ∠2 = ∠3 CPCTE.

Hope I helped :3

maria [59]3 years ago

3 0

Answer:

The correct match of statement with reasons is below.

Step-by-step explanation:

1. AB||DC and AB = CD Given

2. ∠1 = ∠4 If lines are parallel, then alternate interior

angles are equal.

3. AC=AC Reflexive

4.Triangle ABC is SAS

congruent to triangle CDA.

5. ∠2 = ∠3 CPCTE.

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Read 2 more answers

Doomtown is 300 miles due west of Sagebrush and Joshua is due west of Doomtown. At 9 a.m. Mr. Archer leaves Sagebrush for Joshua

e-lub [12.9K]

Refer to the diagram shown below.

Let the distance that Sassoon travels is d miles.
Let his average speed be x mph.
The time of travel is from 1 p.m. to 4 p.m., which is 3 hours.
Therefore
3x = d (1)

The distance that Archer travels is (d + 300) miles.
The time of travel is from 9 a.m. to 4 p.m., which is 7 hours.
The average traveling speed is (x + 20) mph, therefore
7(x + 20) = d + 300
That is,
7x + 140 = d + 300
7x = d + 160 (2)

Subtract (1) from (2).
7x - 3x = d + 160 - d
4x = 160
x = 40 mph (Sassoon's average speed)
x+20 = 60 mph (Archer's average speed)
From (1), obtain d = 120 mi

Answer:
Archer's speed is 60 mph.
Sassoon's speed is 40 mph.