Part C
Now you will attempt to copy your original triangle using only two of its sides and the included angle:

Using point E as the center, draw a circle with a radius equal to the length of
, which you calculated in part B.
Using point E as the vertex and
as one side of the angle, create an angle that is equal to the measure of
. Draw ray
.
Locate the intersection of the ray and the circle, and label the point F.
Complete
by drawing a polygon through points D, E, and F.
Take a screenshot of your results, save it, and insert the image below.

Answers

Answer 1

Note that the triangle DEF should be congruent to triangle AED, since they have two sides and the included angle in common.

What is circle?

In geometry, a circle is a closed two-dimensional shape in which every point on the boundary is equidistant from a single fixed point inside the shape, called the center of the circle. The distance from the center to any point on the circle is called the radius of the circle. The set of all points that are equidistant from the center of the circle is called the circumference of the circle. The circumference is a one-dimensional object, and its length can be calculated using the formula C = 2πr, where r is the radius of the circle and π is the mathematical constant pi, which is approximately equal to 3.14159.

Here,

Based on your instructions, it seems that you are performing a construction to copy a triangle using the SAS (side-angle-side) method. Here are the steps involved:

Draw line segment DE of the length you calculated in part B.

Using point E as the center, draw a circle with a radius equal to the length of DE.

Using point E as the vertex, draw an angle that is equal to the measure of angle AED using line segment ED as one of its sides. Draw ray EF from the vertex E to extend this angle.

Locate the intersection of ray EF and the circle, and label the point of intersection F.

Draw a line segment from point E to point F.

Finally, draw the triangle DEF by connecting points D, E, and F with line segments.

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Related Questions

Problem 7.
Consider the graph of f(x) given below: F(x) A 2 A 20 (click on image to enlarge) Find a possible formula for the transformations of f(x) shown below

Answers

The possible formula for the transformation shown on the graph is given as follows:

y = f(x) + 4.

What is a translation?

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

Translation left a units: f(x + a).Translation right a units: f(x - a).Translation up a units: f(x) + a.Translation down a units: f(x) - a.

From the graph, the function is translated four units up, hence the formula is given as follows:

y = f(x) + 4.

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Decompose the composite figure to find its total area.

Answers

The answer is 36 sq m as the square's dimensions are 6m * 6m = 36 m^2

Hope it helps!

Find the height of the polygon

Answers

that should be 125ft

5 drops of water make 1 liter , then how many drops make 1 liter

Answers

Answer: To start with, we can admit that a water drop corresponds to 0.05ml. It is the same of saying that 1 litre of water contains closely to 20,000 drops.

Read the following statements:
Statement 1: If it has exactly two sides, then it is a polygon.
Statement 2: If it is not a polygon, then it does not have exactly two sides.
Are the two statements logically equivalent?
a. No, both statements are false.
b. Yes, both statements are true.
c. No, only one statement is true.
d. Yes, both statements are false.

Answers

After reading these two statements, we have both statements are false in nature but along with this these are logically equivalent. So, the right answer is option (d).

Logical equivalence occurs when two statements have the same truth value. This means that one statement can be true in its own context, and a second statement can also be true in its own context, they just have to have the same meaning.

A polygon, in geometry, any closed curve consisting of a set of line segments (sides) connected such that no two segments cross. For example triangles (three sides), quadrilaterals (four sides), etc. are simplest polygons. Now, there are two statements, defined as

1) As we know, if there is exactly two lines or sides then these can't be make a closed figure. That's why it is not a polygon and statement is false one.

2) This statement is contrapositive of first one. In other words, if we consider the contrapositive of this statement that is if it is a polygon then it have two exactly two sides. Contrapositive of statement is false because polygon have more than two sides. This implies this conditional statement is also false. But, both of statements are satisfied the logical equivalent conditions (one true or false --> othe true or false respectively). Therefore, option (d) is answer.

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Answer:

BOTH STATEMENTS ARE FALSE

Step-by-step explanation:

The two statements are logically equivalent because they are BOTH false.

A medical researcher needs 24 people to test the effectiveness of an experimental drug. If 64 people have volunteered for the test, in how many ways can 24 people be selected

Answers

The problem can be classified as a Combination problem. A combination is a way of selecting objects from a larger set without regard to their order. In other words, a combination is a selection of objects where the order in which they are selected does not matter.

In mathematics, permutations and combinations are techniques used to count the number of ways in which objects can be selected and arranged. The counting principle, also known as the multiplication principle, is used to count the number of ways in which independent events can occur. In this problem, the researcher needs to select 6 people from a group of 13 volunteers. The order of selection is not important, as long as the researcher ends up with a group of 6 people. Therefore, this problem can be solved using combination.

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The complete question is:

Identify the following as Permutations, Combinations or Counting Principle problems. (no need to solve):

A medical researcher needs 6 people to test the effectiveness of an experimental drug. If 13 people have volunteered for the test, in how many ways can 6 people be selected?

Using Pythagoras' theorem, calculate the value of x. Give your answer in centimetres (cm) and give any decimal answers to 1 d.p. x 16 cm 30 cm

Answers

Answer:

Step-by-step explanation: Pythagoras' theorem states that the square of the hypotenuse, (c2), is equal to the sum of the squares of the other two sides, (a2 + b2). c2 = a2 + b2 = 52 + 92 = 25 + 81 = 106 c = √106 = 10.30 (2dp.) The hypotenuse has length 10.30cm

6/10 > ____> 1/3. what faction that goes in the blank

Answers

The fraction (A) 1/2 will fill up the missing blank like:

6/10 > 1/2 > 1/3

What are fractions?

Every number of equal parts is represented by a fraction, which also represents a portion of a whole.

A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

Proper fractions, improper fractions, mixed fractions, like fractions, unit fractions, equivalent fractions, and same numerator fractions are the seven different types of fractions.

So, we will multiply each fraction by a unit fraction to create a common denominator in order to compare fractions with various denominators:

= 6/10 * 6/6

= 36/60

Then,

= 1/3 * 20/20

= 20/60

Now, case (A): 1/2

= 1/2 * 30/30

Now, substitute and check:

36/60 > 30/60 > 20/60

Then, Yes it is the solution.

(Since we got our answer then we don't need to calculate more.)

Therefore, the fraction (A) 1/2 will fill up the missing blank like:

6/10 > 1/2 > 1/3

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Correct question:

Choose the fraction that goes in the blank.

6/10 >_______> 1/3

a- 1/2

b- 1/4

c- 2/3

d- 3/4

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