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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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.
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 $3.46. Shen used front-end estimation to determine whether he had enough money for the groceries. How much did he estimate the total cost would be?
Answer:
9$
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
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 = 5If we exclude Lemo, the number of friends is 4.
What is 36 as the product of powers of 2 and 3
Answer:
your answer please mark me as brainlist
Solve each system by elimination.
10x-6y=-8
-10x+6y=8
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?
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)
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
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
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 etcTherefore 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
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)
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
How do you write 9.26 as a fraction?
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
The solution to the system of equation is (-0.6, 1.6)
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
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
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)
URGENT PLEASE!
Find the values of x, y, and z.
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
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?
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
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)
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
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
[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 :)
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
The capacitance of the other cylinders are 2174. 94cm³ and 1208. 30cm³.
How to find the capacitanceCapacity 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?
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 barsSince 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 barsSince 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
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
Answer: C
Step-by-step explanation:
See attached image.
sin x = 15/2
COS X =
√95
12
Answer:
[tex]\sqrt{95}/5[/tex]