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stiks02 [169]
3 years ago
8

Match the following items.

Mathematics
2 answers:
charle [14.2K]3 years ago
6 0

Answer:

I just did this lesson; this answers are right.


1: Given                  1: ∠1 = ∠2, ∠3 = ∠4, D is midpoint of segment BE, BC = DE

2: BD = DE         2: Definition of midpoint

3: BC = BD        3: Substitution

4: Triangle ABD congruent to Triangle EBC 4: ASA

5: ∠A = ∠E                                                               5:  CPCTE  


 

           

Step-by-step explanation:


victus00 [196]3 years ago
5 0

Answer:

1. Given

2. Definition of midpoint

3. Substitution

4. ASA

5. CPCTE

Step-by-step explanation:

1. ∠1 = ∠2, ∠3 = ∠4, D is midpoint of segment BE, BC = DE is given (given).

2. BD = DE, because D is midpoint of BE (definition of midpoint).

3. BC = BD, because you are given that BC = DE and DE = BD, then substitute instead of DE into the first equation segment BD to get BC = BD (substitution).

4. ΔABD≅ΔEBC, because

  • BD ≅ BC;
  • ∠1≅∠2;
  • ∠3≅∠4,

then by ASA theorem ΔABD≅ΔEBC (ASA theorem).

4. Congruent triangles have congruent corresponding parts, then ∠A≅∠E (CPCTE).

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4x – 3y=8<br> 2. 5x – 2y = -11
AlladinOne [14]

Answer:

x = -7

y =  - 12

Step-by-step explanation:

The given system is:

4x-3y=8

5x-2y=-11

We make x the subject in the top equation to get:

x =  \frac{3}{4}y + 2

Plug this expression for x in the bottom equation to get

5( \frac{3}{4}y + 2) - 2y=  - 11

We expand to obtain

\frac{15}{4} y + 10 - 2y =  - 11

Multiply through by 4

15y + 40 - 8y =  - 44

Group similar terms

15y - 8y =  - 44 - 40

7y =  - 84

y =  -  \frac{84}{7}  =-12

This means

x =  -12\times  \frac{3}{4}  + 2

x =  - 7

6 0
3 years ago
Can someone help answer the first two?
Murljashka [212]

Answer:

below given!

Step-by-step explanation:

1) mean = (7.4 + 5.8 + 7.3 + 7 + 8.9 + 9.4 + 8.3 + 9.3 + 6.9 + 7.5 + 9 + 5.8 + 5.5 + 8.6 + 9.3 +3.8) / 16

mean = 7.47

5 0
2 years ago
Identify C on the following diagram (will report if you are here for points)
Natali5045456 [20]

Answer:

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Step-by-step explanation:

The line that is horrizontal is always the x - axis

3 0
2 years ago
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Which is the best way to answer a 10 question multiple choice test in which each question has 6 choices for answers
Firdavs [7]

Answer:

Rolling a die.

Step-by-step explanation:

A die has 6 sides for every answer and the only choice regarding the number 6 and you can roll (questions) times.

6 0
3 years ago
An item that was selling for $80 is reduced to $42. Find the percent decrease in
Westkost [7]

Answer:

47.5%

Step-by-step explanation:

You have to first subtract 80 and 42 to find the decrease first. This is 38. Now, you have to divide this by the original number which is 80. So 38 divided by 80 is 0.475.

Now multiply this by 100.

You can easily move the decimal point to the right.

So you would get 47.5%

Hope this helped!

3 0
3 years ago
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