A two-column proof uses a visual representation of the logical flow of steps needed to reach a conclusion.

contains a table with a logical series of statements and reasons that reach a conclusion.

contains a set of sentences explaining the steps needed to reach a conclusion.

uses inductive reasoning to prove a statement.

Answers

Answer 1
Answer:

The correct answer is:

contains a table with a logical series of statements and reasons that reach a conclusion.  

Explanation:

In a two-column proof, our two columns are "statements" and "reasons."

In the "statements" column, we write the different steps that take us from our given to the statement we are trying to prove.

In the "reasons" column, we write the theorems, postulates, and definitions that we need to justify the steps taken in the "statements" column.

Answer 2
Answer:

Answer:

the answer is B contains a table with a logical series of statements and reasons that reach a conclusion.

Step-by-step explanation:


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An appliance store sells lamps at $95.00 for two. A department store sells a similar lamp at five for $250.00 What is the cost for 1 lamp at the appliance store?

Answers

Answer:

47.5 per 1 lamp

Step-by-step explanation:

First, we can ignore the info about the department store because it is useless. Now, for the appliance store, we now that it sells lamps for 95 dollars per 2 lamps. 2 lamps equal 95, and it is asking how much does 1 cost. We can simply divide. So, 95/2= 47.5 dollars

What is 2.33 written as a mixed number in simplest form? A. 1002/33 B. 233/100 C. 233/100 D. 2100/33

Answers

Answer:

The correct answer for the question that is being presented above is this one: "233/100". When the decimal 2.33 written as a mixed number in simplest form, then the answer will 233/100. You just move the decimal point in 2.33 two places to the right. Since, there are two decimal places, therefore the denominator should be 100.



Step-by-step explanation:


In the figure ,the equal sides of the iscoscles triangular are 5cm each,the base in 6 cm and the height is 4cm height.The length of the rectangle are all 10cm Calculate the TSA (total surface area )of the triangular prism

Answers

Answer:

284 square cm.

Step-by-step explanation:

To calculate the total surface area (TSA) of the triangular prism formed by an isosceles triangle and a rectangle, you need to find the surface areas of both the triangular faces and the three rectangular faces and then add them together.

1. **Triangular Faces**:

  You have an isosceles triangle with a base of 6 cm and a height of 4 cm. The total area of both triangular faces can be calculated using the formula for the area of a triangle:

  Area of one triangular face = (1/2) * base * height

  Area of one triangular face = (1/2) * 6 cm * 4 cm = 12 square cm

  Since there are two identical triangular faces, the total area of both triangular faces is 2 * 12 square cm = 24 square cm.

2. **Rectangular Faces**:

  You have a rectangular prism with dimensions 10 cm x 10 cm x 6 cm. There are three rectangular faces.

  - The two rectangular faces with dimensions 10 cm x 10 cm have an area of 100 square cm each.

  - The third rectangular face with dimensions 6 cm x 10 cm has an area of 60 square cm.

  The total area of all three rectangular faces is 2 * 100 square cm + 60 square cm = 260 square cm.

3. **Total Surface Area (TSA)**:

  Now, you can calculate the TSA of the triangular prism by adding the areas of the triangular faces and the areas of the rectangular faces:

  TSA = Area of Triangular Faces + Area of Rectangular Faces

  TSA = 24 square cm + 260 square cm = 284 square cm

So, the total surface area of the triangular prism is 284 square cm.

(x/3)+5=2x-70
solve for x
what are the steps

Answers

(x/3)+5=2x-70
3[(x/3)+5]=[2x-70]3
x+15=6x-210
  +210    +210
x+225=6x
-x         -x
5x=225
x=45
(x)/(3)+5=2x-70\ \ \ \ \ \ |\cdot3\n\nx+15=6x-210\ \ \ \ |combine\ like\ terms\n\nx-6x=-210-15\ \ \ \ |simplify\n\n-5x=-225\ \ \ \ \ \ \ |:-5\n\nx=45

Authority is a mixture of conviction and _____. intelligence hardheadedness acuteness business skills

Answers

Intelligence is the answer

Answer:

intelligence

Step-by-step explanation:

2.46875 in fractionform

Answers

2.46875 in a fraction form would look like this:

2.46875 =
= 2 46875/100000 =
= 2 9375/20000 =
= 2 1875/4000 =
= 2 375/800 =
= 2 75/160 =
= 2 15/32

I just kept simplifying it by dividing both numerator and denominator by 5 until I got its simplest form.
due to there being 5 decimal places you take out the decimal place and put it over 10 to the power of the number of decimal places
2.46875 = 246875/(10^5)
246875/100000
then simplify to get
79/32