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V125BC [204]
3 years ago
13

Triangle Congruence Theorems

Mathematics
1 answer:
elixir [45]3 years ago
3 0

Triangle Congruence Theorems

Use the triangle congruence theorems below to prove that two triangles are congruent if:
Three sides of one triangle are congruent to three sides of another triangle (SSS: side side side)
Two sides and the angle in between are congruent to the corresponding parts of another triangle (SAS: side angle side)
Two angles and the side in between are congruent to the corresponding parts of another triangle (ASA: angle side angle)
Two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle (AAS: angle angle side)
The hypotenuse and leg of one right triangle are congruent to the corresponding parts of another right triangle (HL: hypotenuse leg)
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What is the answer?
mezya [45]

Answer:

18.1 cm

Step-by-step explanation:

AD segment breakup: 11=4+7

Pythagorean Theorem:

7^2+b^2=16^2

49+b^2=256

x^2=207

b=sqrt(207)

b=3sqrt(23)

Pythagorean Theorem:

11^2+3sqrt(23)^2=c^2

121+207=c^2

328=c^2

18.11=c

So the length of AC is around 18.1 cm

5 0
3 years ago
Lisa is assembling fruit baskets for a large corporate order. She starts with 66 pears and will put 5 pears in each fruit basket
denis23 [38]

Answer:

12 fruit baskets

Step-by-step explanation:

66 / 5 = ?

66 / 5 = 13.2

13.2 - 5 = 12

(12)

5 0
3 years ago
Show work for 125 divided by 7.75
Mazyrski [523]
7.75 ➗ 125 = 0.062


Simplify ➡ 31 / 4


31 over 4 ➗ 125


Then, divide ➡31 over 1 by 125


and it should leave you with the answer 0.062
7 0
3 years ago
Rosy has 16 pencils and 24 erasers. She is putting together packets that will have an equal number of pencils and erasers in eac
monitta
Find the greatest common factor
in this case it would be 8, so she'd be able to make 8 packets maximum
3 0
3 years ago
Provide a counterexample to the following statement: division of whole numbers is commutative
Yuri [45]

Answer:

Division is not commutative because 25÷5 does not equal 5÷25

Step-by-step explanation:


5 0
3 years ago
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