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3 years ago

Which of the following is not a triangle congruence theorem? A) ASA B) AAS C) SSA

Mathematics

2 answers:

Maurinko [17]3 years ago

6 0

Answer:

C. SSA is the only one which is not a triangle congruence theorem.

Step-by-step explanation:

Triangle congruence-

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles.

Two triangles can be proven to be congruent by the following postulates,

SAS (Side-Angle-Side)
SSS (Side-Side-Side)
ASA (Angle-Side-Angle)
AAS (Angle-Angle-Side)
RHS (Right-angle-Hypotenuse-Side)

Therefore, from the given options SSA is the only one which is not a triangle congruence theorem.

serg [7]3 years ago

3 0

Don't listen to them asa is a very real thing! It's the angle side angle!! It would be C! Ssa! That doesn't exist!

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A health study tracked a group of person for five years. At the beginning of the study, 20% were classified as heavy smokers, 30

Aleks04 [339]

Answer: 0.421

Step-by-step explanation:

Heavy smoker = 20%

Light smoker = 30%

Non smokers = 50%

We can assume that the probability that a non-smoker is going to die in the next 5 years be y.

Since light smokers were twice as likely as nonsmokers to die during the five-year study, the probability will be:

= 2 × y = 2y

Probability for the Heavy smokers will be:= 2 × 2y = 4y

The expected number of people that will die for each in the next 5 years will be:

Non smoker:

= 50% × y

= 0.5 × y

= 0.5y

Light smoker:

= 30% × 2y

= 0.3 × 2y.

= 0.6y

Heavy smoker:

= 20% × 4y.

= 0.2 × 4y

= 0.8y

Total = 0.5y + 0.6y + 0.8y = 1.9y

The probability that the participant was a heavy smoker will be:

= 0.8y/1.9y

= 0.421

3 0

3 years ago

22. Solve 7x - 9 = 28+ 4(x - 1). X=-3 X=3 x = 11 X=-11

aleksley [76]

Answer:

c) x = 11

Step-by-step explanation:

Given equation: 7x - 9 = 28 + 4(x - 1)

Steps:

1. Distribute 4 through the parentheses:

7x - 9 = 28 + 4(x) + 4(-1)

7x - 9 = 28 + 4x - 4 [simplify]

7x - 9 = 24 + 4x

2. Subtract 4x from both sides:

7x - 4x - 9 = 24 + 4x - 4x

3x - 9 = 24

3. Add 9 to both sides:

3x - 9 + 9 = 24 + 9

3x = 33

4. Divide both sides by 3:

3x ÷ 3 = 33 ÷ 3

x = 11

5. Check your work:

7x - 9 = 28 + 4(x - 1) [substitute 11 for x]

7(11) - 9 = 28 + 4(11 - 1) [simplify]

77 - 9 = 28 + 4(10) [simplify]

68 = 28 + 40 [add]

68 = 68 ✔

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7 0

2 years ago

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Order the following greatest to least 1. 10kg 2. 100g 3. 1,000,000mg

svlad2 [7]

Answer:

1, 2, 3

Step-by-step explanation:

Of the three units, the kilogram is the largest and the milligram is the smallest. The prefix “kilo” means a thousand and “milli” means one-thousandths.

1,000,000mg = 1kg

1kg = 1,000g

8 0

3 years ago

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If total liabilities decreased by $60,000 and stockholders' equity increased by $20,000 during a period of time, then total asse

Lena [83]

Answer:

$40,000 decrease

Step-by-step explanation:

Change in total assets = Total Liabilities Decreased- StockHolders' equity increased

Change in total assets = 60000 - 20000

Change in total assets = $40,000 decrease

So, If total liabilities decreased by $60,000 and stockholders' equity increased by $20,000 during a period of time,then the change in total assets will consist of a decrease of $40,000

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3 years ago

I need #1 done (show work) will give brainliest

allochka39001 [22]

Step-by-step explanation:

Statement Reason

∠5 and ∠7 are vertical angles Vertical angles theorem

m∠5 = m∠7 Definition of vertical angles

m∠5 = -2(3x - 4), m∠7 = 3(x - 3) - 1 Given

-2(3x - 4) = 3(x - 3) - 1 Substitution property of equality

-6x + 8 = 3x - 9 - 1 Distributive property

3x + 6x = 8 + 10 Addition property

9x = 18 Addition property

x = 18/9 Division property

x = 2 Proved

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3 years ago