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3 years ago

Question:

Mathematics

1 answer:

Leya [2.2K]3 years ago

8 0

A) The vertices of the ABCD square are:

(2,2), (1(4), (3,5), and (4,3).

The reflection over the x-axys keeps the same x-coordinate and changes the y-coordinate ot its negative.

So, the vertices of the square A'B'C'D' are:

(2,-2), (1,-4), (3,-5), and (4,-3).

You can see the figure attached showing the four vertices.

B. Is AB congruent to A'B'? Explain

Answer:

Yes, they are congruent. You can affirm that because reflections are transformations that do not change either sizes or angles, but keep them, so the two squares are congruent.

C. Is the area of ABCD ≈ area of A'B'C'D'? Explain.

Answer:

Yes, the two areas are equal since you have shown that the two figures are congruent.

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The coach needs 12 lbs of peanut butter to feed his football team. if he buys peanut butter in jars containing 1 1/4 lbs, how ma

saveliy_v [14]

The coach needs 12 lbs of peanut butter to feed his football team. if he buys peanut butter in jars containing 1 1/4 lbs, how many jars should he buy

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3 years ago

GEOMETRY HELP! If you could explain this and help me find the answer that would be amazing! Find the measures of an interior ang

givi [52]

Regular polygon can be incribed in a circle of radius equal to its side.

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8 0

3 years ago

Your+required+return+is+14%. +should+you+accept+a+project+with+the+following+cash+flows

PtichkaEL [24]

By using an excel spreadsheet and IRR function, the cross over rate = 14.85%

Year Cash Flow (A) Cash Flow (B)

0 -58,000 -58,000

1 34,000 21,200

2 28,000 25,200

3 20,000 30,000

4 13,600 25,200

<h3>What is the IRR for each of these projects?</h3>

using an excel spreadsheet and the IRR function:

Project A's IRR = 28.3%

Project B's IRR = 25.7%

(b) If you apply the IRR decision rule, which project should the company accept?

Project A (its IRR is higher)

Requirement 2:

(a) Assume the required return is 14 percent. What is the NPV for each of these projects?

using an excel spreadsheet and the NPV function:

Project A's NPV = $14,921.37

Project B's NPV = $15,156.64

(b) Which project will you choose if you apply the NPV decision rule?

Project B (its NPV is higher)

Requirement 3:

(a) Over what range of discount rates would you choose Project A?

higher than 14.85%

(b) Over what range of discount rates would you choose Project B?

lower than 14.85%

crossover rate calculation

Year Cash Flow (A) Cash Flow (B) differential amount

0 -58,000 -58,000 $0

1 34,000 21,200 $12,800

2 28,000 25,200 $2,800

3 20,000 30,000 -$10,000

4 13,600 25,200 -$11,600

using an excel spreadsheet and IRR function, the cross over rate = 14.85%

To know more about IRR function follow

brainly.com/question/24765495

#SPJ4

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2 years ago

Which of the x-values are solutions to the following inequality? x<365

vladimir1956 [14]

Answer:

Choice A ; Choice B

Step-by-step explanation:

x < 365

x ∈ ( -oo ; 365 )

Solutions :

Choice A

x = 99

Choice B

x = 361

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3 years ago

How do you know when a term is defined or undefined

lord [1]

In geometry, definitions are formed using known words or terms to describe a new word. There are three words in geometry that are not formally defined. These three undefined terms are point, line and plane.

POINT (an undefined term) 
In geometry, a point has no dimension (actual size). Even though we represent a point with a dot, the point has no length, width, or thickness. A point is usually named with a capital letter. In the coordinate plane, a point is named by an ordered pair, (x,y). 

LINE (an undefined term) 
In geometry, a line has no thickness but its length extends in one dimension and goes on forever in both directions. A line is depicted to be a straight line with two arrowheads indicating that the line extends without end in two directions. A line is named by a single lowercase written letter or by two points on the line with an arrow drawn above them. 

PLANE (an undefined term) 
In geometry, a plane has no thickness but extends indefinitely in all directions. Planes are usually represented by a shape that looks like a tabletop or wall. Even though the diagram of a plane has edges, you must remember that the plane has no boundaries. A plane is named by a single letter (plane m) or by three non-collinear points (plane ABC). 

Undefined terms can be combined to define other terms. Noncollinear points, for example, are points that do not lie on the same line. A line segment is the portion of a line that includes two particular points and all points that lie between them, while a ray is the portion of a line that includes a particular point, called the end point, and all points extending infinitely to one side of the end point. 

Defined terms can be combined with each other and with undefined terms to define still more terms. An angle, for example, is a combination of two different rays or line segments that share a single end point. Similarly, a triangle is composed of three noncollinear points and the line segments that lie between them. 

Everything else builds on these and adds more information to this base. Those added things include all the theorems and other "defined" terms like parallelogram or acute angle.

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3 years ago