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maria [59]
2 years ago
10

PLEASE SOLVE THE QUESTION BELOW Copy and paste these symbols if needed Δ ∠ ≅ ~.

Mathematics
1 answer:
Veronika [31]2 years ago
7 0

Answer:

Statement:                                                            Reason:

1. Line AB is parallel to Line DE                    1. Given

2. Angle ABC is congruent to Angle ECD   2. Vertical Angle Theorem (Vertical        

                                                                           Angles are congruent)

3. Angle ABC is congruent to Angle             3. If a pair of parallel lines are cu

  CDE                                                                         by a transversal, then the

                                                                          alternate int angles r congruent

4. Triangle ABC is similar to Triangle EDC     4. Angle-Angle Postulate                                                                            

Step-by-step explanation:

I hope this helps!

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A train leaves Philadelphia at 2:00 PM. A second train leaves the same city in the same direction at 4:00 PM. The second train t
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Answer: First train speed shall be 42 mi/hr

Second train speed shall be 84 mi/hr

Yes it is the valid answer, it gets annoying when almost everyone enters the wrong answer for a good laugh. Either way, hope this helps! Have a spectacular day.

Step-by-step explanation:

What is the 1st train's head start in miles?

Let +s+ = the speed of the 1st train in mi/hr

From 2PM to 4PM is 2 hrs

+d%5B1%5D+=+s%2A2+

---------------------

Let +d+ = distance the 2nd train travels until

it overtakes the 1st train

From 4PM to 6PM is 2 hrs

Start time when the 2nd train leaves

---------------------

Equation for 1st train:

(1) +d+-+2s+=+s%2A2+

Equation for 2nd train:

(2) +d+=+%28+s%2B42+%29%2A2+

--------------------

Substitute (2) into (1)

(1) +%28+s%2B42+%29%2A2+-+2s+=+s%2A2+

(1) +2s+%2B+84+-+2s+=+2s+

(1) +2s+=+84+

(1) +s+=+42+

and

+s%2B+42+=+42+%2B+42+

+s+%2B+42+=+84+

------------------

The 1st train's speed is 42 mi/hr

The 2nd train's speed is 84 mi/hr

---------------------------

check:

(2) +d+=+%28+s%2B42+%29%2A2+

(2) +d+=84%2A2+

(2) +d+=+168+

and

(1) +d+-+2s+=+s%2A2+

(1) +d+-+2%2A42+=+42%2A2+

(1) +d+=+84+%2B+84+

(1) +d+=+168+

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2 years ago
a car is traveling at a speed of 108 kilometers per hour. What is the cars speed in kilometers per minute? How many kilometers w
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Answer: 10.8 km per min

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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