Given that is the angle bisector of A, determine the length of x. (SHOW YOUR WORK PLEASE!!!)

Given That Is The Angle Bisector Of A, Determine The Length Of X. (SHOW YOUR WORK PLEASE!!!)

Answers

Answer 1

The length of x will be 4 cm if is the angle bisector of A.

What is an angle bisector?

A straight line that splits an angle in a triangle into two congruent angles is known as the angle bisector.

Given sides;

AB=12

AE=8

BD=6

DE=x

From the triangle angle bisector theorem;

[tex]\rm \frac{BD}{DE} = \frac{AB}{AE} \\\\ \frac{6}{x} =\frac{12}{8} \\\\ x=4[/tex]

Hence the length of x will be 4 cm.

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Related Questions

The instructions for building a kite tell you to begin by cutting a strip of wood to 45 cm in length, but your ruler only measures inches. How many inches should the piece of wood be? Round to the nearest quarter of an inch.
(Recall: 1 in. = 2.54 cm)
a.

b.

c.

d.

Answers

The length of the piece should be 17.716 inches.

What is Unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

length = 45 m

one inch = 2.54 cm

So, length of strip would be

=45/2.54

=17.716

Hence, the length of the piece should be 17.716 inches.

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Shen’s mother gave him $10 to go buy groceries. He picked up a gallon of milk for $3.49, three pounds of oranges that cost $1.14 per pound, and a box of cereal for $3.46. Shen used front-end estimation to determine whether he had enough money for the groceries. How much did he estimate the total cost would be?

Answers

Answer:

9$

Step-by-step explanation:

$3.49 rounds to 3 dollars since it is not half of a dollar. If it was $3.50 (which is half of a dollar) it would round to 4 dollars, but it isn't so it just rounds to $3. $1.14 rounds to one dollar, but since there were three of them  there will be a total of three dollars (approximately) in oranges. $3.46 rounds to $3. Add all three estimates together and you get 9 dollars :)

can anyone slove this with the formulas​

Answers

Answer:

Lemo shared pizza with four friends

=============

Let the pizza was shared between x people.

Set up equation and solve for x:

3 1/3 ÷ x = 2/310/3 ÷ x = 2/3x = 10/3 ÷ 2/3x = 10/3 × 3/2x = 10/2x = 5

If we exclude Lemo, the number of friends is 4.

Number of friends = Total pizza / Amt each friend get

Thus = 3⅓/⅔=5/9

What is 36 as the product of powers of 2 and 3

Answers

Answer:

your answer please mark me as brainlist

Solve each system by elimination.
10x-6y=-8
-10x+6y=8

Answers

Answer:

Infinitely Many Solutions

Step-by-step explanation:

[tex]10x-6y=-8\\-10x+6y=8\\\0 = 0\\[/tex]

The perimeter of a rectangular piece of paper is 28 inches. The area is 45 square inches. What are the dimensions of the paper?

Answers

The dimensions of the paper are 9 by 5 inches

How to determine the dimensions?

Let x represent the length and y, the width

The given parameters are:

Perimeter, P = 28

Area, A = 45

So, we have

P = 2(x + y) = 28

A = xy = 45

Rewrite as:

2(x + y) = 28

xy = 45

By trial by error, we have:

x = 9 and y = 5

This can be proved as follows:

2(9 + 5) = 28--- true

9 * 5 = 45 --- true

Hence, the dimensions of the paper are 9 by 5 inches

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Multiply Conjugates Using the Product of Conjugates Pattern
In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern
322. (m − 7)(m + 7)

Answers

Answer:

The product is the difference of squares is [tex]$$\left(m-7\right)\left(m+7\right)={{m}^2}-49$$[/tex]

Step-by-step explanation:

Explanation

The given expression is (m-7)(m+7).We have to multiply the given expression.Square the first term m. Square the last term 7 .

[tex]$$\begin{aligned}&(m-7)(m+7)=(m)^{2}-(7)^{2} \\&(m-7)(m+7)=m^{2}-49\end{aligned}$$[/tex]

5. a number from 1-50 is chosen at random.
what is the probability that it is a perfect
square or a multiple of 4?

8/25

3/50

2/5

9/50

Answers

Answer:3/

Step-by-step explanation:

A company's prospectus includes:
A) The company's investment options.
B) The company's guaranteed return strategy.
C) The company's revenue and net worth.
D) The company's research

Answers

A company's prospectus includes: A) The company's investment options.

What is a company's prospectus?

Company's prospectus can be defined as the document that entails  detail information of a company investment option that are available for sales to potentials buyers or investors.

Examples of the investment options are:

BondsStocksMutual Funds etc

Therefore the correct option is A.

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A company's prospectus is a formal legal document designed to provide information and full details about an investment offering for sale to the public.

When David was asked how old he was, he said " I'm three times younger than my dad, but twice as old as Rebecca. " Then little Rebecca ran up to him and declared "i am 30 years younger than my dad". How old is David

Answers

Using a system of equations, it is found that David is 12 years old.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

The variables are given as follows:

Variable x: David's age.Variable y: Dad's age.Variable z: Rebecca's age.

David is three times younger than the dad and twice as old as Rebecca, then:

x = y/3 -> y = 3x.x = 2z.

Rebecca is 30 years younger than the dad, hence:

z = y - 30.

Then, since x = 2z and z = y - 30 and y = 3x, we solve for x to find David's age.

x = 2(y - 30)

x = 2(3x - 30)

x = 6x - 60

5x = 60

x = 60/5

x = 12.

David is 12 years old.

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the graph of F(x) shown below resembles the graph of G(x) =x^2 but it has been changes somewhat. Which of the following could be the equation of F(x)

Answers

Using translation concepts, the equation of the graph F(x) is given as follows:

F(x) = -x² - 3.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Researching this problem on the internet, the graph of G(x) = x² was reflected over the axis(multiplied by -1), and shifted down 3 units(F(x) -> G(-x) - 3), hence the equation for F(x) is:

F(x) = -x² - 3.

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AREA UNDER A CURVE


please explain too ty <3

Answers

I don’t even know lol I struggled with this too,

How do you write 9.26 as a fraction?

Answers

Answer:

463/50 or 9 13/50

Answer:

9.26=9 13/50

Step-by-step explanation:

Rewrite the decimal number as a fraction with 1 in the denominator

9.26=9.26/1

Multiply to remove 2 decimal places. Here, you multiply top and bottom by 10^2 = 100

9.26/1×100/100=926/100

Find the Greatest Common Factor (GCF) of 926 and 100, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 2,

926÷2/100÷2=463/50

Simplify the improper fraction,

=9 13/50

In conclusion,

9.26=9 13/50

How many solutions does this linear system have?
y = 2/3+ 2
6X - 4y = -10
one solution: (-0.6, -1.6)
one
solution; (-0.6, 1.6)
no solution
infinite number of solutions

Answers

The solution to the system of equation is (-0.6, 1.6)


System of linear equations

Given the system of linear equations as shown:

y = 2/3x+ 2 .................. 1

6x - 4y = -10................ 2

Substitute equation 1 into 2 to have:

6x - 4(2/3x + 2) = -10
6x - 8/3 x - 8 = -10
10/3 x = -2

10x = -6

x =-0.6

Determine the value of y

y = 2/3x + 2

y = 2/3 (-0.6) + 2

y = -0.4 + 2

y = 1.6

Hence the solution to the system of equation is (-0.6, 1.6)

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In the diagram, the area of
the shaded region is

Answers

Area of shaded region is 42sq.cm

I hope this helps u.


Find the volume of each solid. Round to the nearest hundredth. Show your work

Answers

Answer is 512 cu.ft.
Volume of a cube is length x width x height
So 8 x 8 x 8 = 512

What are the factors of the trinomial?

(x + 1) and (x – 4)
(x + 4) and (x – 1)
(x + 5) and (x – 4)
(x + 4) and (x – 5)

Answers

Part A x^2-3x -4
Part B x^2 +3x -4
Party C x^2+x-20
Part D x^2-x-20

URGENT PLEASE!
Find the values of x, y, and z.

Answers

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.  The value of x,y, and z is √38,  (5√38)/3, and √80.556, respectively.

What is a triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The measure of Y is,

y² = 5² + 3²

y = √38

The measure of ∠C,

Tan(∠C) = 5/3 = z/√38

z = (5√38)/3

The measure of z is,

z² = 5² + x²

x = √80.556

Hence, the value of x,y, and z are √38,  (5√38)/3, and √80.556, respectively.

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pls help I’m losing my mind

Answers

the answer is C, “x” is sitting at a 90 degree angle. meaning that if half of Y is 45 degrees the other half mist be too.

Answer:

1) x+45=180

x=180-45

x=135

ans.=135

2) (2x-30)+y= 180

28xy=180

xy= 180-28

y=152

Question 1 (Multiple Choice Worth 5 points) (04.03 MC) The ratio of sugar to flour used in a pudding recipe is 1:3. Which figure shows equivalent ratios? ​

Answers

The figure that shows equivalent ratios for the ratio of sugar to flour would be Figure 2.

What figure has equivalent ratios?

The ratio os sugar to flour is 1:3. An equivalent ratio would be one that is 1:3 or 3:1.

Figure 2's ratios are:

6 :2

9:3

12:4

When all of these are taken to their simplest form, we get:

3 : 1

Figure 2 is therefore an equivalent ratio.

Rest of the question is:

he ratio of sugar to flour used in a pudding recipe is 1:3. Which figure shows equivalent ratios? #1: 3,1. 9,2. 3,15 #2: 6,2. 9,3. 12,4 #3: 9,5. 6,3. 13,1 #4: 9,4. 6,3. 3,2

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Please help with this

Answers

Step-by-step explanation:

[tex] = \frac{14\pi}{6} [/tex]

[tex] = \frac{ \cancel{14}\pi}{ \cancel6} [/tex]

[tex] = \frac{7\pi}{3} [/tex]

[tex] = \frac{6\pi + \pi}{3} [/tex]

[tex] = \frac{6\pi}{3} + \frac{\pi}{3} [/tex]

[tex] = 2\pi + \frac{\pi}{3} [/tex]

[tex] = 0 + \frac{\pi}{3} [/tex]

[tex] = \frac{\pi}{3} \: \text{where} \: \frac{\pi}{3} < 2\pi[/tex]

The answer is B.

A binary operation∆is defined on the set of real number R by x∆y=x²+y-2xy. evaluate (2∆½)​

Answers

Answer:2.5

Step-by-step explanation:

4+1/2-2=2 1/2 according to the formula

37 The diameter of circle X is 15 centimeters. The diameter of circle Y is 20 centimeters.
Which measurement is closest to the difference between the circumference of circle X and the
circumference of circle Y in centimeters?
A 15.7 cm
B 7,85 cm
C 137 cm
D 31.4 cm

Answers

Answer:

A

Step-by-step explanation:

this can be done without any calculator, which I did and explain below :

the circumference of a circle is always

2×pi×r

with r being the radius, which is always half of the diameter.

so, the circle X circumference is

pi×15

circle Y

pi×20

the difference is

20×pi - 15×pi = 5×pi

5×pi is half of 10×pi, which would be 10×3.1415... = 31.415...

half of that is about 15.7.

so, A is the correct answer

Answer:

cual es la respuesta de esta pregunta

Factor completely, −5x^2 + 10x − 25

Answers

[tex]\bf{-5x^{2} +10x-25 }[/tex]

[tex]\bf{Rewrite \ 10 \ as:5\cdot2.}[/tex]

[tex]\bf{Rewrite \ 25 \ as:5\cdot5.}[/tex]

[tex]\bf{=-5x^2+5\cdot \:2x-5\cdot \:5}[/tex]

[tex]\bf{Factor \ the \ common \ term \ 5.}[/tex]

[tex]\bf{=5(-x^{2} +2x-5) \ \ \to \ \ \ Answer }[/tex]

{ Pisces04 }

Pls help 20 points :)

Answers

Answer:

49 cm²

Step-by-step explanation:

Half circle: 1/2 π r² ≈ 1/2 * 3.14 * 16  = 25.12

Rectangle: 3*8 = 24

Add them: 25.12 + 24 ≈ 49

the highest of three cylinders are 3 cm 9 cm and 5 cm if the cylinder has a capacity of 725 calculate the capacitance of the other cylinders ​

Answers

The capacitance of the other cylinders are 2174. 94cm³ and 1208. 30cm³.

How to find the capacitance

Capacity of a cylinder is seen as its volume

Volume of a cylinder = πr²h

The heights of the cylinders are

a. 3cm

b. 9cm

c. 5cm

Let's find the radius

Capacity = 3. 142 × r² × 3

725 = 3. 142 × r² × 3

r² = [tex]\frac{725}{3. 142 * 3}[/tex]

r² = [tex]\frac{725}{9. 426}[/tex]

r² = 76. 91

r = √76. 91

r = 8. 77cm

Radius of the cylinders = 8. 77cm

For cylinder with height of 9cm

Capacitance = πr²h

Capacitance = 3. 142 × 8. 77 × 8. 77 × 9

Capacitance = 2174. 94 cm³

For cylinder with height of 5cm

Capacitance = 3. 142 × 8. 77 × 8. 77 × 5

Capacitance = 1208. 30 cm³

Thus, the capacitance of the other cylinders are 2174. 94cm³ and 1208. 30cm³.

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a sweet factory produces 5 different chocolate bars. the different flavors are always produced in the same proportions, for every 4 coconut flavored bars 5 honeycomb 6 orange and 4 strawberry

what is the total number of chocolate bars if there are:
a) 280 orange flavored bars?

b) 960 coconut flavored bars?

c) 79 coffee flavored bars?

Answers

a. There are 933 chocolate bars

b. There are 1200 chocolate bars

c. There are 1580 chocolate bars

How to calculate the number of chocolate bars

Since there are 5 different flavors,

let

x = orange flavored bars, y = coconut flavored bars, z = coffee flavored bars, a = strawberry flavored bars and b = honeycomb flavored bars and X = total number of bars

Since the different flavors are always produced in the same proportions, for every 4 coconut flavored bars 5 honeycomb 6 orange 1 coffee and 4 strawberry

So, the ratio of their proportions are x:y:z:a:b = 6:4:2:1:5

So, the total ratio is T = 6 + 4 + 1 + 4 + 5 = 20

a. What is the total number of chocolate bars if there are 280 orange flavored bars?

Since we have 6 orange flavored bars, the ratio of orange flavored bars to total is 6/20

So, the amount of orange flavored bars is x = 6/20 × X

Making X subject of the formula, we have

X = 20x/6

So, if there are 280 orange bars, there will be

X = 20x/6

X = 20 × 280/6

X = 5600/6

X = 933.33

X ≅ 933 chocolate bars

So, there are 933 chocolate bars

b. What is the total number of chocolate bars if there are 960 coconut flavored bars?

Since we have 4 coconut flavored bars, the ratio of coconut flavored bars to total is 4/20

So, the amount of coconut flavored bars is y = 4/20 × X

Making X subject of the formula, we have

X = 20y/4

So, if there are 960 coconut flavored bars, there will be

X = 20y/6

X = 20 × 960/4

X = 5 × 240

X = 1200 chocolate bars

So, there are 1200 chocolate bars

c. What is the total number of chocolate bars if there are 79 coffee flavored bars?

Since we have 1 coffee flavored bars, the ratio of coffee flavored bars to total is 1/20

So, the amount of coconut flavored bars is z = 1/20 × X

Making X subject of the formula, we have

X = 20z

So, if there are 79 coffee flavored bars, there will be

X = 20z

X = 20 × 79

X = 1580 chocolate bars

So, there are 1580 chocolate bars

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On a coordinate plane, 2 triangles are shown. Triangle L M N has points (negative 1, 3), (3, 1), and (negative 1, 1). Triangle L prime M prime N prime has points (negative 2, negative 1), (6, negative 5), and (negative 2, negative 5).

Which composition of similarity transformations maps TriangleLMN to TriangleL'M'N'?
a dilation with a scale factor less than 1 and then a reflection
a dilation with a scale factor less than 1 and then a translation
a dilation with a scale factor greater than 1 and then a reflection
a dilation with a scale factor greater than 1 and then a translation

Answers

The composition of similarity transformations that maps Triangle LMN to TriangleL'M'N is a dilation with a scale factor less than 1 and then a reflection. Opion A. This is further explained below.

Which composition of similarity transformations maps TriangleLMN to TriangleL'M'N'?

Generally, In the case of a reflection across the y-axis, the y-coordinate of a point stays the same but the x-coordinate is changed into its inverse.

Triangle LMN has the coordinates (2, 1), (1, 1), and (1, 3).

(-4,-4) (-3,-4) (-3,-2).

In conclusion, Assuming that the coordinates (2, 1), (1, 1), and (1, 3) of Triangle LMN. This is the translation 5 units down (x,y-5): Two units to the right (x+2, y-5) of the coordinates (2,-4), (1,-4), and (1,-2): (4, -4), (3, -4), (3, -2)

It is a reflection along the y-axis, with coordinates of (-4,-4) and (-3,-4) (-3,-2)

Therefore, Triangle L'M'N' is the result of the transformation sequence in Option A.

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Answer: a

Step-by-step explanation:

i got it right on the test

Which of the following functions shows the linear parent function, F(x) = x,
shifted right?
OA. G(x) = 4x
OB. G(x) = x + 2
OC. G(x) = x-9
OD. G(x) = -x

Answers

Answer: C

Step-by-step explanation:

See attached image.

sin x = 15/2
COS X =
√95
12

Answers

Answer:

[tex]\sqrt{95}/5[/tex]

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