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lawyer [7]
3 years ago
14

Triangles ΔABC ≅ ΔBAD so that C and D lie in the opposite semi-planes of segment AB. Prove that segment CD bisects segment AD.

Mathematics
1 answer:
kolbaska11 [484]3 years ago
6 0

Answer:

See explanation

Step-by-step explanation:

Triangles ΔABC and ΔBAD are congruent. So,

  • AB ≅ BA;
  • AC ≅ BD;
  • BC ≅ AD;
  • ∠ABC ≅ ∠BAD;
  • ∠BCA ≅ ∠ADB;
  • ∠CAB ≅ ∠DBA.

Consider triangles AEC and BED. In these triangles,

  • AC ≅ BD;
  • ∠EAC ≅ ∠EBD (because ∠CBA ≅ ∠BAD);
  • ∠AEC ≅ ∠BED (as vertical angles).

So, ΔAEC ≅ ΔBED. Thus,

AE ≅ EB.

This means that segment CD bisects segment AD.

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What is the answer??
Amanda [17]

Answer:

angle 1= 104                angle 2= 76

Step-by-step explanation:

angle 1 equals x+66 and angle 2 equals 2x so you set up an equation where they are the sum of 180 degrees because the angles are supplementry angles.

x+66+2x=180                        set the sum of the angles to 180

3x+66=180                            combind like terms

3x=144                                   subract 66 from both sides

x=38                                      divide 3 from both sides

Now you put x back into the measurments

angle 1= (x+66)                              angle 2= 2x

              (38+66)                                           2×38

angle 1= 104                                   angle 2= 76

Or after you know angle 1 you can subtract angle 1 from 180 to get angle 2.

5 0
3 years ago
SOMEONE HELP ASAPPPP PLEASEEE,PLEASE EXPLAIN HOW U GOT YOUR ANSWER, I NEED AN EXPLANATION IN ORDER TO COMPLETE THIS! NO LINKS OR
slega [8]

Answer:

1)

A)

We must use the formula b x h/2  12 x 8/2 = 48    

A=48

B)

We must use the formula 1/2a root c squared - a squared

Solving and substituing will get you 35.78

2)

A)

We must divide 81 by 2 to get 9. Since this is a square, all sides will be 9. Then, we must add 9 four times to get 36 cm as our perimeter

B) If we draw the square with a diagonal line, we can understand that the diagonal line (hypotenus) is  s root 2.

3) The formula for this area of a triangle is h x b/2. We must substitute the numbers to get our answer:

h x b /2 = 10 x 20/2 = 200/2 = 100

AREA IS 100cm squared

Step-by-step explanation:

5 0
2 years ago
You need to find the LCM of 13 and 14. Would you rather use their multiples or their prime factorizations? Explain.
Vladimir [108]

Answer:

I would rather use their multiples.

Step-by-step explanation:

With 13 and 14, neither number has many factors (and few prime factors, for that matter) so factoring would be pretty much useless. If you wanted to use the prime factors of 14 (7 and 2) multiplying either of them by 13 would not give you the LCM. Actually the LCM is just 13*14 which is 182.

Good luck!

5 0
2 years ago
Evaluate: [(21 + 6) − 32] ÷ 9.2 A) 4. B) 4.6. C) 1. D) 52.
Dima020 [189]
[(21 + 6) - 32] : 9.2 = (27 - 32) : 9.2 = -5 : 9.2 = -46
5 0
3 years ago
About how many pounds are in 14 kilograms?
sesenic [268]

Answer:

308.647

Step-by-step explanation:

Its searchable pls mark brainliest.

6 0
3 years ago
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