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lions [1.4K]
3 years ago
12

Please help     Fill in the missing reasons in the proof

Mathematics
2 answers:
Irina-Kira [14]3 years ago
4 0
I'm not a whiz at proofs but I think I know the answers.

A. Given
B. Alternate Interior Angles Theorem
C. Transitive Property of Equality
D. AAS Postulate 
Sliva [168]3 years ago
3 0
A. Given
B. Alternate interior angle theorem
C. Reflexive property
D. SAS
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A bowl contains 25 balls numbered 1 to 25. A ball is drawn and its number is noted. Without replacing the first ball, another ba
mamaluj [8]
Let A = the event that the first ball is odd number
and B = the event that the second ball is odd number

In the beginning, there are 25 balls which contain 13 balls of odd numbers. So the probability for the first selection (as to expect you would draw a ball of an odd number) is
P(A) = 13/25

After the selection, the rule does not allow replacement. So, there are 24 balls left containing now 12 balls of odd numbers. So the probability for the second selection (as to expect you would draw also a ball of odd number) is
P(B) = 12/24 = 1/2

Multiplying the two probabilities obtains
P(2 odd numbers) = 13/25 * 1/2 = 13/50

6 0
4 years ago
A rollercoaster ride reaches a height of 80 feet before it sharply drops. The height above the ground of the rollercoaster car d
Tasya [4]

Answer:

Therefore the car takes 2 s to reach a minimum height from the ground before rising again.

Step-by-step explanation:

Given that a roller coaster ride reach a height of 80 feet.

The height above the ground of the roller coaster is modeled by the function

h(t)=10t²-40t+80

where t is measured in second.

h(t)=10t²-40t+80

Differentiating with respect to t

h'(t)= 10(2t)-40

⇒h'(t)=20t-40

To find the minimum height we set h'(t)=0

∴20t-40=0

⇒20t =40

⇒t=2

The height of the roller coaster minimum when t=2 s.

The minimum height of of the roller coaster is

h(2)= 10(2)²-40.2+80

     =40-80+80

     =40 feet.

Therefore the car takes 2 s to reach a minimum height from the ground before rising again.

8 0
3 years ago
Simplify the expression completely.
stellarik [79]

Answer:

The answer should be 12 1/2.

Step-by-step explanation:

If not let me know. If so, brainliest??

8 0
3 years ago
Hattie had $6600 to invest and wants to earn 4% interest per year. She will put some of the money into an
34kurt

Answer:

The amount of money that should be invested at the rate of 12% is $900 and the amount of money that should be invested at the rate of 10% is $2,100

Step-by-step explanation:

Let

x ------> the amount of money that should be invested at the rate of 12%

3,000-x -----> the amount money that should be invested at the rate of 10%

we know that

The sum of the interest on each of the accounts must be equal to the total interest.

Solve for x

therefore

The amount of money that should be invested at the rate of 12% is $900 and the amount of money that should be invested at the rate of 10% is $2,100

Hope this helps you!!!! :D

6 0
2 years ago
Find the difference of (6x² + 3x - 5) and (4x² – 2x +3) <br><br> 50 points
steposvetlana [31]

Answer:

there is no difference between the two because the first equation answer is -3 but there is no answer to the second equation because both of the numbers doesn't have a factor of 12

Step-by-step explanation:

5 0
3 years ago
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