Answers
The value of EG is 12
In geometry, the term line segment is defined as the part of a line segment used to join two points in a plane. When segments join the midpoints of two sides of a triangle, the segments are parallel to the other side and represent one half of it.Given equations of line are :
CG = 9x -4
GD = 2x+31
EF = 4x-1
GF = 7
We are asked to find the length of EG. We can start by analyzing the bisector, CD. Since the segment is the bisector, So CG = GD.
CG = GD
9x -4 = 2x+31
7x = 35
x = 5
Analyzing EF
EF = EG + GF
4x-1 = EG +7
20 - 1 -7 = EG
EG = 12
The value of EG is 12
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Related Questions
14. Find a counterexample for each of the following: a. If n is a natural number, then(n+5)/5 -n-1. b. If n is a natural number, then (n + 4)² = n² + 4².
Answers
n = 1 is a counterexample for both the given equations.
Here, we are given two equations, let us look at them one by one-
a. (n + 5) / 5 = n + 1
let us take n = 1
the, (1 + 5) / 5 = 1 + 1
6/ 5 = 2
This equation does not hold as 6/5 ≠ 2. Thus, n = 1 doesn't satisfy the given equation and hence is a counterexample.
b. (n + 4)² = n² + 4²
Let us take n = 1
(1 + 4)² = 1² + 4²
5² = 1 + 16
25 = 17
Again, this equation does not hold as 25 ≠ 17. Thus, n = 1 doesn't satisfy the given equation and hence is a counterexample.
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Sherry will mail a square
photo to her grandma.
The area of the photo is
about 71.4 square inches.
All of Sherry's envelopes
are perfect squares.
What's the length of one
side of the smallest
envelope she can use?
Answers
Answer:
Take the root
Step-by-step explanation:
Area of the square equal
[tex] {x}^{2} [/tex]
Then the side length of the pictures equal
[tex] \sqrt{71.4 } [/tex]
The result will be 8.44
hector paid $56 for 7 books what is the unit rate
Answers
the length of a rectangle is 6 m longer than its width. of the perimeter of the rectangle is 36 m, find its area
Answers
The length of a rectangle is 6 m longer than its width. of the perimeter of the rectangle is 36 m, its area is 72 m².
Any polygon's area is the amount of space it takes up or encloses. The amount of square units that make up the polygon. Because the area is a two-dimensional object, it has both length and width. Typically, the area is expressed in square meters, square feet, or square inches. Acres, hectares, and square kilometers are used to measure the size of larger shapes like cities and farms.
Let l be the length of the rectangle
And w be the width of the rectangle.
Given, l=6+w
Perimeter,p =36m
We know that, p= 2(l+w)
p =36=2(6+w+w)
36/2= 6 +2w
18-6=2w
w=6m
Therefore, l=6+w
l=12m
Area of rectangle= lw
A = 12×6
A=72 m².
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The function f(x) = + 9-3 is one-to-one and therefore invertible. Determine f1. Graph both f
and f-1, along with the identity function f(x) = x.
Answers
Answer: I hope this helps.
Step-by-step explanation:
3. Omar runs around the edge of a circular park 6 times every morning. The park has an area of .02 square miles. How far does Omar run each morning?
Answers
Omar runs 0.9577 miles each morning .
Circumference of circle or perimeter of the circle is that the measure of the boundary of the circle whereas the world of circle defines the region occupied by it which is given by A = πr² where "r" is the radius of the circle.If we tend to open a circle and create a line out of it, then its length is that the circumference which is given by C = 2πr where "r" is the radius of the circle.It's typically measured in units, like cm or unit m.It is given that area of the circular park is .02 square miles .
Using area formula , we get
0.02 = πr²
0.02 = 3.14r²
0.0063 = r²
0.079 = r
Omar run each morning = 6 × Circumference of circle
= 6 × 2πr
= 12 × 0.079
= 0.9577 miles
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P=2(x+y) Solve for y
Answers
[tex] \bf \implies \: y \: = \frac{1}{2} p - x[/tex]
Step-by-step explanation:Let's solve for yp = 2(x + y)p = 2x + 2yp - 2x = 2y2y = p - 2x[tex] \bf \frac{ \cancel{2}y}{ \cancel{2}} = \frac{p \: - \: 2x}{2} [/tex][tex]y = \frac{p}{2} - \frac{ \cancel{2}x}{ \cancel{2} }[/tex][tex] \boxed{y = \frac{1}{2}p - x} \: \bf \mathfrak {ans}[/tex]suppose that a box contains 6 cameras and that 4 of them are defective
Answers
The random variable x, which represents the number of defective cameras in the sample, is x = 0, 1, 2
What is random variable?A random variable is a variable with an unknown value or a function that gives values to each outcome of an experiment. A random variable might be discrete (with discrete values) or continuous (with continuous values) (any value in a continuous range).
According to the given data:The box contains two malfunctioning cameras.
The random variable, x, represents the sample space for the number of malfunctioning cameras that can be chosen;
The outcomes are:
Both cameras are faulty; x = 2
One is flawed, one is not; x = 1
Both cameras are in good working order; x = 0
This defines that the random variable , x = 0, 1, 2
The random variable x, which represents the number of defective cameras in the sample, is x = 0, 1, 2
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I understand that the question you are looking for is:
Suppose that a box contains 6 cameras and that 4 of them are defective. a sample of 2 cameras is selected at random. define the random variable x as the number of defective cameras in the sample. ( round to two decimal places when needed.)
What is five half’s multiplied by three twentieths?
Answers
Answer:3/8
Step-by-step explanation: ok so go to calculator soup and go to calculators then go fractions it's the first one then click on a thing that says fractions then type in problem and show answer hope this helps and remember your awesome and have great day and the name is kirsten michelle baker.
Reverse the roles of the variables by solving for the indicated variable. Solve for t: w = uv + t
Answers
The subject of the function is t = w - v
How to solve the function?It should be noted that the function that's given is illustrated as:
w = uv + t
Subtract uv from both sides.
w - uv = uv + t - uv.
w - uv = t
Therefore, it can be seen that the subject of the function is t = w - v
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What is the following product?
47 47 47.47
Answers
The product of the given equation for the fourth root is 7.
What is defined as the 4th root?The 4th root of an amount is the number that, when multiplied four times by itself, yields the original number.
In other words, the square root of the square root of the square root of the square root of the square root of the square root of the square root of the square root of the square root of the square root of the square root. In addition, the fourth root is demonstrates the idea by multiplying the radical by 4, i.e. 4√.A number that is a square root of 4 has a result of 4 when multiplied by itself. There are two numbers which will work: 2×2=4 and −2×−2=4 which means that the numbers 2 and 2 are square roots of 4.For, the given question;
= ⁴√7 × ⁴√7 × ⁴√7 × ⁴√7
This equation can be written as;
=(⁴√7)⁴
Further writing the fourth root in terms of fraction;
= (7)∧(1/4)×4
Both power will cancel each other.
= 7
Therefore, the product of the fourth root is found as 7.
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The correct question is-
What is the following product?
⁴√7 × ⁴√7 × ⁴√7 × ⁴√7
augustin and edson are going to a baseball game to get to the stadium they travel east on the highway at 120km/hr for 30 minutes then they turn onto the stadium parkway and travel south at 60km/hr for 10 minutes assume their starting point is at the origin what is the position of the stadium
Answers
The position of the stadium, given the data is 60 Km east and 10 Km south
What is speed?Speed is the distance travelled per unit. Mathematically, it can be expressed as:
Speed = distance / time
With above formula, we can determine the position of the stadium. Details below
How to determine the distance travelled in 30 minutesTime = 30 minutes = 30 / 60 = 1/2 hourSpeed = 120 Km/hDistance =?Speed = distance / time
Cross multiply
Distance = speed × time
Distance = 120 × 1/2
Distance = 60 Km east
How to determine the distance travelled in 10 minutesTime = 10 minutes = 10 / 60 = 1/6 hourSpeed = 60 Km/hDistance =?Speed = distance / time
Cross multiply
Distance = speed × time
Distance = 60 × 1/6
Distance = 10 Km south
Thus, we can conclude that the position of the stadium is 60 Km east and 10 Km south
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FREE BRAINLIEST!!! What is the slope of the line?
2
-2
-1/2
1/2
Answers
Answer:
i think its 2
Step-by-step explanation:
Answer: 2.
Step-by-step explanation: Because if you see where the dot of line is you will see that the dot is right next to number 2
3 to the 4th power minus -6 to the 2nd power
Answers
Answer:
45
Step-by-step explanation:
3 to the 4th power is the same as 3 x 3 x 3 x 3
3 x 3 x 3 x 3 = 81
-6 x -6 = 36 (a negative times a negative is always positive)
81 - 36 = 45
write an equation in slope intercept form for this line
Answers
Answer:
Step-by-step explanation:
What is 3 x
3,280
328
32.80
3x (10) + 2x (100) + 8x (1.000)
0.328
written in standard form?
Answers
Answer:
I have no clue
The value of a piece of factory equipment was $20,000 when it was purchased. During each 1 -year period after the equipment was purchased, the value of the equipment at the end of the period was 10% less than its value at the beginning of the period. Which of the following statements identifies the most appropriate type of function to model this scenario and provides a reason to support its appropriateness?
A- A linear function is appropriate to model this scenario because, at the end of each year after purchase, the value of the equipment was $10 less than its value 1 year before.
B- A linear function is appropriate to model this scenario because, at the end of each year after purchase, the value of the equipment was $2,000 less than its value 1 year before.
C- An exponential function is appropriate to model this scenario because, at the end of each year after purchase, the value of the equipment was 0.1 times its value 1 year before.
D- An exponential function is appropriate to model this scenario because, at the end of each year after purchase, the value of the equipment was 0.9 times its value 1 year before.
Answers
The correct option for the function in this problem is:
D- An exponential function is appropriate to model this scenario because, at the end of each year after purchase, the value of the equipment was 0.9 times its value 1 year before.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.For this problem, during each 1 -year period after the equipment was purchased, the value of the equipment at the end of the period was 10% less than its value at the beginning of the period, hence r = 0.1 and the equation is:
[tex]A(t) = A(0)(1 - 0.1)^t[/tex]
[tex]A(t) = A(0)(0.9)^t[/tex]
Which means that option D is correct.
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what is 4 less than 1
Answers
Answer:
±3
Step-by-step explanation:
4 - 1 = 3
1 - 4 = -3
Either way you subtract them, the answer is still 3, whether negative or positive.
1. State the operation used to solve the following
equation.
x-7 = 15
Answers
Answer: Addition
Step-by-step explanation:
x-7 = 15
x-7+7 = 15+7 ==> Addition
x=15+7
x=22
What inequality is represented by the number line graph?
Answers
Answer:
An open circle indicates "less than" or "greater than," while a closed circle indicates "greater than or equal to" or "less than or equal to". This number line includes values that are less than or greater than or equal to .
Step-by-step explanation:
Which means it would be B. Or D.
The elevation of a sunken ship is $-120$ feet. You are in a submarine at
an elevation that is $\frac{5}{8}$
of the ship’s elevation. What is your elevation?
Answers
The supplied statement indicates that the angle of elevation will be = -75 feet.
What is angle of elevation?The term angle of elevation refers to the angle between the horizontal and an object. The line of sight of an observer would be over the horizontal. The term angle of depression refers to the angle between the horizontal and an item. The line of sight of an observer would fall below the horizontal.
In arithmetic, how do you find elevation?"rise over run" is an easy-to-remember equation for calculating a change in elevation as a decimal, which means the rise (the change in vertical distance) divided by that of the run (the change in horizontal distance). As an example, suppose the increase is two and the run is six. So you'd multiply 2 by 6 (or 2/6) to get.
According to the given information:Given The elevation of a sunken ship = 120 feet
the elevation of a submarine = 5/8
So,
Your elevation will be given by employing the MULTIPLICATION OPERATION.
(5/8) x -120 feet
= -75 feet
The supplied statement indicates that the angle of elevation will be = -75 feet.
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Help I need the answer to this question
Answers
The Density of the given plank with dimensions is; 33.82 kg/m³
How to calculate the density of an Object?We are given;
Length of plank = 2.3 meters
Width of plank = 30 cm = 0.3 m
Height of Plank = 3 cm = 0.03 m
Mass of plank = 0.7 kg
Now, formula for density = mass/volume
Volume of the plank is gotten from the formula;
Volume = Length * width * height
V = 2.3 * 0.3 * 0.03
V = 0.0207 m³
Thus;
Density = 0.7/ 0.0207
Density = 33.82 kg/m³
Thus, we can conclude that the Density of the given plank with dimensions is 33.82 kg/m³
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There are $13.30 worth of nickels and dimes in a piggy bank. There are 5 more nickels than dimes. How
many of each are in the piggy bank? You must solve this problem algebraically (no guess and check). Show
each step for full credit. Circle your final answer. (4 points)
Answers
Answer:
92 nickels87 dimesStep-by-step explanation:
You want the number of nickels and dimes that make up $13.30 when there are 5 more nickels than dimes.
SetupLet d represent the number of dimes. Then (d+5) is the number of nickels. The total value in cents is ...
10d +5(d+5) = 1330
SolutionSimplifying the equation, we get ...
15d +25 = 1330
15d = 1305 . . . . . . . . subtract 25
d = 87 . . . . . . . . . . . divide by 15
(d+5) = 92 . . . . . . the number of nickels
[tex]\boxed{\text{There are 92 nickels and 87 dimes in the piggy bank.}}[/tex]
Use the figure below to list the slopes m₁, m₂, m3, and m4 in order of decreasing size.
Answers
In decreasing size, the slopes of the linear functions are given as follows:
m4, m3, m2, m1.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Regarding the slope, we have that:
Increasing lines have positive slopes.Decreasing lines have negative slopes.Hence, for the lines in this graph:
m4 and m3 are positive.m2 and m1 are negative.Then, we consider the intensity of growth/decay.
The pink line increases faster than the green line, meaning that it has a greater slope, that is, m4 > m3.The red line falls faster than the blue line, meaning that it's slope has a greater absolute value, but is less than m2, as they are negative, hence m2 > m1.Thus the list is given by:
m4, m3, m2, m1.
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A partir del siguiente plano se harán dos maquetas de una sala de concertos: para construir la primera, cada dimensión se dividira entre 24, y para la segunda, entre 5.6
Answers
ASAP. Please help me with 63 please. I will give an Brainly and bunch of extra points to whoever answers it right please.
Answers
i believe this is correct hope it helps
13. A large group of 30 people attended a hockey game. Each person ordered a hotdog or a slice of pizza from the concession stand. Hot dogs cost $2.50 each and a slice of pizza costs $3.25 each. If the total bill for these items was $81.75, how many of each type was purchased?
Answers
Answer:
21 hot dogs
9 pizza slices
Step-by-step explanation:
Given information:
Group = 30 peopleCost of a hot dog = $2.50Cost of a slice of pizza = $3.25Total bill = $81.75Define the variables:
Let x = the number of hot dogs purchased.Let y = the number of pizza slices purchased.Create two equations from the given information:
[tex]\textsf{Equation 1}: \quad x + y = 30[/tex]
[tex]\textsf{Equation 2}: \quad 2.5x+3.25y=81.75[/tex]
Rewrite Equation 1 to make x the subject:
[tex]\implies x=30-y[/tex]
Substitute this into Equation 2 and solve for x:
[tex]\implies 2.5(30-y)+3.25y=81.75[/tex]
[tex]\implies 75-2.5y+3.25y=81.75[/tex]
[tex]\implies 75+0.75y=81.75[/tex]
[tex]\implies 0.75y=6.75[/tex]
[tex]\implies y=9[/tex]
Substitute the found value of y into the rewritten form of Equation 1 and solve for x:
[tex]\implies x=30-9[/tex]
[tex]\implies x=21[/tex]
Solution
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Answer:
Number of hot dogs purchased = 21
Number of pizza slices purchased = 9
Step-by-step explanation:
Let the number of people buying hot dogs be represented by the variable H and the number of people buying pizzas be represented by the variable P
Since H hot dogs were purchased and each hot dog costs $2.50, total amount spent on hot dog purchase = $2.50H
Since P slices of pizza were purchased and each slice of pizza costs $3,25, total amount spent on hot dog purchase = $3,25P
Total amount spent (in $) = 2.50H + 3.25P and we are given that this total amount is $81.75
So we have an equation in two variables
2.50H + 3.25P = 81.75 (1)
We know the number of people is 30 and that should equal the number of hot dogs and pizza slices purchased
So
H + P = 30 (2)
Multiply Equation (2) on both sides by 2.50
==> 2.50(H + P) = 2.50 x 30
2.50H + 2.50P = 75 (3)
Subtract equation (3) from equation (1) to eliminate the H terms
(1) - (3):
2.50H + 3.25P - (2.50H + 2.50P) = 81.75 -75
2.50H + 3.25P - 2.50H - 2.50P = 6.75
Collect like terms and simplify
==> (2.50H -2.50H) + (3.25P - 2.50P) = 6.75
==> 0.75P = 6.75
Divide both sides by 0.75
==> 0.75P/0.75 = 6.75/0.75
==> P = 9
So number of people who bought pizza slices = 9
This is the same as the number of pizza slices that were bought
Substitute for P in Eq (2) H + P = 30
==> H + 9 = 30
Subtract 9 from both sides
==> H + 9 - 9 = 30 - 9
==> H = 21
So number of people who bought hot dogs = 21
This is the same as the number of hot dogs purchased
Find the coordinates of the midpoint of a segment with the given endpoints
(-4, -7), (12, -6)
Answers
If you are doing MIDOPS
(01.05 LC)
Which of the following is an equivalent form of the compound inequality -22 > -5x - 7≥-33?
O-5x-7<-22 and -5x - 72 -33
O-5x-7-22 and -5x - 72-33
O-5x > -22 and -7 ≥-33
O-5x-7<-22 and -5x - 7 ≤-33
Answers
The equivalent form of the compound inequality -22 > -5x - 7≥-33 is -22 > -5x - 7 and -5x - 7≥-33
Inequality:
A mathematical phrase in which the sides are not equal is referred to as being inequal. In essence, a comparison of any two values reveals the existence of an inequality when one of the values is less than, larger than, or equal to the value on the opposite side of the equation.
Given inequality is -22 > -5x - 7≥-33
The equivalent inequality is -22 > -5x - 7 and -5x - 7≥-33
Therefore,The equivalent form of the compound inequality -22 > -5x - 7≥-33 is -22 > -5x - 7 and -5x - 7≥-33.
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will give Brainly please help I don’t understand look at the picture
Answers
The G.P.A of the student with the given grades is 2.7875
How to compute the GPA of a Student?We are told that the grades that the student had are as follows;
2.8 in a 5 credit math's course
2.4 in a 3 credit music course
3.1 in a 5 credit chemistry course
2.9 in a 5 credit journalism course
Thus, the G.P.A can be calculated as;
[(2.8 * 5) + (2.4 * 3) + (3.1 * 5) + (2.9 * 5)]/(5 + 3 + 5 + 5)
= (14 + 7.2 + 15.5 + 7.9)/16
= 44.6/16
= 2.7875
Thus, we conclude that the G.P.A of the student with the given grades is 2.7875
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