We can conclude that ATER ≅ AVEC by the AAS congruence.
The congruence statement that proves ATER AVEC is the AAS (Angle-Angle-Side) congruence.
Given that m/R = m∠C and E is the midpoint of RC, we can establish the following:
∠TER ≅ ∠VEC (Angle equality due to vertical angles).
TE ≅ VE (Definition of midpoint).
RT ≅ VC (Given m/R = m∠C and E is the midpoint of RC).
By combining these pieces of information, we have two pairs of congruent angles (∠TER ≅ ∠VEC) and a pair of congruent sides (TE ≅ VE).
This satisfies the AAS congruence criterion.
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Which streets on the map appear to be perpendicular to each other?
Elm
Maple
Main
Willow
A.
Maple and Willow
B
Elm and Willow
OC.
Main and Elm
D.
Main and Maple
Answer:
jhkughyuguygkuyftyfguyihyghuy.,^´ñplpokjo0ijoi
Step-by-step explanation:
Answer: Maple and Willow
Step-by-step explanation:
Hello sorry for the other guy's un usefulness but I'm taking the same test and this was the correct answer.
greater than (−8) but less than (−2)
Answer:
-8 < x < -2
start number line at -10 and end it at 0
draw an open circle* over the dash indicating -8 and -2
connect the open circles
*open circle because it is less than and greater than, not less than or equal to and greater than or equal to
Answer:
-8<x<-2
Step-by-step explanation:
yw luv :D
Which of the following is an acceptable way to express the useful life of a depreciable asset?a.Expected number of units to be produced by the depreciable asset b.Expected number of hours the depreciable asset will remain productive .c .Expected number of miles a depreciable vehicle will be driven d.Expected life in years of the depreciable asset
d. Expected life in years of the depreciable asset. The acceptable way to express the useful life of a depreciable asset is in terms of the expected life in years.
The useful life refers to the period of time over which the asset is expected to contribute to the revenue-generating activities of a business.
While options a, b, and c may be relevant factors for certain specific assets (such as units produced, hours of productivity, or miles driven), they do not encompass the overall concept of useful life. Useful life is a broader measure that takes into account the anticipated duration of productive use, regardless of specific output or activity metrics.
Expressing the useful life in years provides a common standard for comparison and allows for consistency in depreciation calculations and financial reporting. It is a practical and widely accepted approach to estimating the lifespan of a depreciable asset.
It is worth noting that the estimated useful life in years may vary depending on the nature of the asset and industry practices. It is typically determined based on factors such as technological advancements, physical wear and tear, economic obsolescence, and the intended purpose of the asset.
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pls help, 'll mark the brainliest. SOS
Answer:
Which one do you need the answer for
Step-by-step explanation:
The radio of 2,787 to 1,750 is ____
Answer:
1.59
Step-by-step explanation:
Divide 2,787 by 1,750
Brooklyn is going to invest $1,300 and leave it in an account for 11 years. Assuming
the interest is compounded daily, what interest rate, to the nearest tenth of a percent,
would be required in order for Brooklyn to end up with $2,500?
Answer: 5.9%
Step-by-step explanation:
Lazy boi
Answer:5.9%
5.9% in delta Math
Step-by-step explanation:
WILL MARK IF RIGHT + 10 POINTS(hurry)
CONVINCE ME THAT the following 2 expressions are equal! Explain your work and justify your reasoning. Feel free to show your work on a separate sheet of paper, take a picture of it, and attach the image to your "New Thread".
Answer:
See below
Step-by-step explanation:
3 - 2(-2.6x) - 2(2.1) = ( after expanding L side)
3 + 5.2x -4.2 =
5.2x - 1.2 Yep. They are equal .
It took Hank 3.4 hours to travel 124 miles. At that rate, how long will it take Hank to travel 310 miles?
Answer: Time = 8.5 hours
Step-by-step explanation:
Step 1
Speed = distance / time
Distance traveled by Hank = 124 miles
Time = 3.4 hrs
Speed= Distance / Time
= 124/ 3.4 = 36.47 miles per hour
Step 2
At this same rate of speed =36.47 miles per hour, if he travels 310 miles, he will spend=
Time = Distance / Speed
Time = 310/ 36.47
Time =8.5 hours
3
Michael split
pounds of candy among 8 people.
What is the unit rate in pounds per person?
Write your answer in simplest form.
Answer:
1/8
Step-by-step explanation:
The question is incomplete, here is the complete question
Michael split 3/4
pounds of candy among 8 people.
What is the unit rate in pounds per person?
Write your answer in simplest form
SOLUTION:
Micheal splits 3/4 candy among 8 people
Therefore the unit rate per pounds per person can be calculated as follows
= 3/4 ÷ 8
= 3/4 × 1/8
= 3/24
= 1/8
Hence the unit per pound per person is 1/8
What does point J represent on the graph? Responses The cost of 2 ounces of orange juice is $3.00 . The cost of 2 ounces of orange juice is $ $ 3.00 . The cost of 2 ounces of orange juice is $6.00 . The cost of 2 ounces of orange juice is $ $ 6.00 . The cost of 6 ounces of orange juice is $2.00 . The cost of 6 ounces of orange juice is $ $ 2.00 . The cost of 6 ounces of orange juice is $4.00 .
The meaning of point J(2,6) on the graph is given as follows:
The cost of 2 ounces of orange juice is $6.00.
How to define the ordered pair?The general format of an ordered pair is given by the rule presented as follows:
(x,y).
In which:
x is the x-coordinate, representing the input variable.y is the y-coordinate, representing the output variable.The input and output variables for this problem are given as follows:
Input variable: number of ounces of orange juice.Output variable: Total cost.Hence the point (2,6) represents that the cost of 2 ounces of orange juice is $6.00, meaning that the second option is the correct option in the context of this problem.
Missing InformationThe coordinates of the point are (2,6).
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Solve for x and the measure of EFG.
Answer:
x=9°
∡EFG=25°
Step-by-step explanation:
Answer:
isolate the variable by dividing each side by factors that doesn't contain the variable. x=35degrees - 7/2.
Step-by-step explanation:
Hope this helped a little :)
f(x)=x^2
g(x)=3(x-1)^2
The product of the given functions is a parabola that opens upwards and has its vertex at (1,0). Its minimum value is 0, which is attained at x = 1.
The given functions are: f(x)=x² and g(x)=3(x-1)²
First, we can work with the function f(x)=x².
We know that the graph of this function is a parabola with vertex at the origin (0,0), and it opens upwards. This means that the function is always positive or zero, and it has no maximum value (the minimum value is 0, which is attained at x = 0).
Next, we can work with the function g(x)=3(x-1)².
We know that the graph of this function is a parabola with vertex at (1,0), and it opens upwards. This means that the function is always positive or zero, and it has no maximum value (the minimum value is 0, which is attained at x = 1).
Now, we can consider the product of these two functions, h(x) = f(x)g(x) = x²⋅3(x-1)² = 3x²(x-1)².
We know that the graph of this function is a parabola that opens upwards, and its vertex is at (1,0). This means that the function is always positive or zero, and it has no maximum value (the minimum value is 0, which is attained at x = 1).
Therefore, the product of the given functions is a parabola that opens upwards and has its vertex at (1,0). Its minimum value is 0, which is attained at x = 1.
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If the circumference of full circle is equal to 2 cm, find the length of the arc of the composing semicircle
Answer:
it is 1 cm because semi means half
What is (5 x 1,000,000) (6 x 100,000) (4 x 10,000) (8 x 1,000) (3 x 100) (2 x 10) (4 x 0.1) (9 x 0.001) in standard form?
The standard form of the given numbers is 207360 × 10¹⁷.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
Given the numbers is (5 x 1,000,000) (6 x 100,000) (4 x 10,000) (8 x 1,000) (3 x 100) (2 x 10) (4 x 0.1) (9 x 0.001)
Now standard form means we need to write the exponents form.
So,
5 x 6 x 4 x 8 x 3 x 2 x 4 x 9 = 207360
And
1,000,000 x 100000 x 10000 x 1000 x 100 x 10 x 0.1 x 0.001 = 10¹⁷
So, combine 207360 x 10¹⁷
Hence "The standard form of the given numbers is 207360 × 10¹⁷".
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what is the slope of y =4 - 2x ?
Answer:
−2.
Step-by-step explanation:
y = 4 − 2x? b is the y -intercept. Here, 4 is b and −2 is m. Therefore, the slope is −2.
Core Algebra
Englis
Solving for an Unknown Using the Distributive Property
180(n-2)
The equation a = represents the angle measuresya, in a regular n-sided polygon. When the equation is
solved for n, n is equal to a fraction with a denominator of a - 180. What is the numerator of the fraction?
Answer:
-360
Step-by-step explanation:
I got it right
develop a class shapes 2d to represent all 2d geometric shapes excluding line. class should represent the name of the object (a string) the color of the objects (color) and methods that all subclasses should implement (abstract methods) including:
This is the UML diagram for the development of the program, in which Shapes 2D is the superclass and Circle, Square, Triangle, Rectangle, Rhombus, and Parallelogram are subclasses.
This is the program in C++ demonstrating the above classes.
#include<iostream>
using namespace std;
class shapes
{
public:
string name;
string color;
virtual void getAttributes()=0;
};
class Circle: public shapes
{
public:
float radius;
Circle(string n,string c, float r)
{
name=n;
color=c;
radius=r;
}
float getPerimeter()
{
return(2*(3.142)*radius);
}
float getArea()
{
return((3.142)*(radius*radius));
}
void getAttributes()
{
cout<<"Name :"<<name<<endl;
cout<<"Color :"<<color<<endl;
}
};
class Square:public shapes
{
public:
float side;
Square(string n,string c, float s)
{
name=n;
color=c;
side=s;
}
float getPerimeter()
{
return(4*side);
}
float getArea()
{
return(side*side);
}
void getAttributes()
{
cout<<"Name :"<<name<<endl;
cout<<"Color :"<<color<<endl;
}
};
class Triangle:public shapes
{
public:
float base;
float height;
float side1;
float side2;
float side3;
Triangle(string n,string c)
{
name=n;
color=c;
}
float getPerimeter()
{
cout<<"Enter side1\n";
cin>>side1;
cout<<"Enter side2\n";
cin>>side2;
cout<<"Enter side3\n";
cin>>side3;
return(side1+side2+side3);
}
float getArea()
{
cout<<"Enter base\n";
cin>>base;
cout<<"Enter height\n";
cin>>height;
return((0.5)*base*height);
}
void getAttributes()
{
cout<<"Name :"<<name<<endl;
cout<<"Color :"<<color<<endl;
}
};
class Rectangle:public shapes
{
public:
float length;
float breadth;
Rectangle(string n,string c, float l,float b)
{
name=n;
color=c;
length=l;
breadth=b;
}
float getPerimeter()
{
return(2*(length+breadth));
}
float getArea()
{
return(length*breadth);
}
void getAttributes()
{
cout<<"Name :"<<name<<endl;
cout<<"Color :"<<color<<endl;
}
};
class Rhombus:public shapes
{
public:
float diagonal1;
float diagonal2;
float side;
Rhombus(string n,string c)
{
name=n;
color=c;
}
float getPerimeter()
{
cout<<"Enter Side\n";
cin>>side;
return(4*side);
}
float getArea()
{
cout<<"Enter diagonal 1\n";
cin>>diagonal1;
cout<<"Enter diagonal 2\n";
cin>>diagonal2;
return((0.5)*diagonal1*diagonal2);
}
void getAttributes()
{
cout<<"Name :"<<name<<endl;
cout<<"Color :"<<color<<endl;
}
};
class Parallelogram:public shapes
{
public:
float base;
float height;
Parallelogram(string n,string c, float b,float h)
{
name=n;
color=c;
base=b;
height=h;
}
float getPerimeter()
{
return(2*(base+height));
}
float getArea()
{
return(base*height);
}
void getAttributes()
{
cout<<"Name :"<<name<<endl;
cout<<"Color :"<<color<<endl;
}
};
int main()
{
int choice;
while(1)
{
cout<<"\n\nEnter your choice :";
cout<<"\n1 for Circle\n";
cout<<"2 for Square\n";
cout<<"3 for Triangle\n";
cout<<"4 for Rectangle\n";
cout<<"5 for Rhombus\n";
cout<<"6 for Parallelogram\n";
cin>>choice;
system("cls");
switch(choice)
{
case 1:
{
float r;
cout<<"Enter radius\n";
cin>>r;
Circle c("Circle","Yellow",r);
c.getAttributes();
cout<<"Perimeter : "<<c.getPerimeter()<<endl;
cout<<"Area : "<<c.getArea()<<endl;
}break;
case 2:
{
float side;
cout<<"Enter side\n";
cin>>side;
Square s("Square","Red",side);
s.getAttributes();
cout<<"Perimeter : "<<s.getPerimeter()<<endl;
cout<<"Area : "<<s.getArea()<<endl;
}break;
case 3:
{
Triangle t("Triangle","Green");
t.getAttributes();
cout<<"Perimeter : "<<t.getPerimeter()<<endl;
cout<<"Area : "<<t.getArea()<<endl;
}break;
case 4:
{
float l,b;
cout<<"Enter Length and breadth\n";
cin>>l>>b;
Rectangle r("Rectangle","Blue",l,b);
r.getAttributes();
cout<<"Perimeter : "<<r.getPerimeter()<<endl;
cout<<"Area : "<<r.getArea()<<endl;
}break;
case 5:
{
Rhombus r("Rhombus","Purple");
r.getAttributes();
cout<<"Perimeter : "<<r.getPerimeter()<<endl;
cout<<"Area : "<<r.getArea()<<endl;
}break;
case 6:
{
float b,h;
cout<<"Enter base\n";
cin>>b;
cout<<"Enter height\n";
cin>>h;
Parallelogram p("Parallelogram","Pink",b,h);
p.getAttributes();
cout<<"Perimeter : "<<p.getPerimeter()<<endl;
cout<<"Area : "<<p.getArea()<<endl;
}break;
}
}
}
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which sentence correctly describes a data set that follows a normal distribution with a standard diviation of 4 and a mean of 14
Answer: A sentence that correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14 is:
"The data set is approximately normally distributed, with the majority of the data falling within a range of 6 to 22, with a few data points falling outside of this range. The mean of the data set is 14, and the standard deviation is 4."
Step-by-step explanation:
What are the factor pairs of 63
An item is regularly priced at $35. It is now priced at a discount of 40% off the regular price. What is the price now?
Answer:
15
Step-by-step explanation:
Ellie borrows money at a year simple rate of 6 1/2% after 4 years ellie owes 39 interest
how much money did ellie borrow? show your work you didn't even give us the correct answer.
Answer: Ellie borrowed $150.
Step-by-step explanation:
I = PRT
39 = P x 0.065 x 4
39 = P x 0.26
Divide both sides by 0.26
150 = P
The money Ellie borrows is 150.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given Ellie borrows money at a year simple rate of \(6\frac{1}{2}\)%.
After 4 years ellie owes 39 interest
We need to find how much money did ellie borrow.
Let us convert \(6\frac{1}{2}\)% to decimal value by dividing with 100
\(6\frac{1}{2}\)/100=6.5/100=0.065
Now we have formula for interest
I=PRT
Where I is the interest=39
P is the principle amount which we need to calculate
R is rate of interest=0.065
T is the time in years=4
Plug in these values.
39 = P x 0.065 x 4
39 = P x 0.26
Divide both sides by 0.26
150 = P
Hence, the money Ellie borrows is 150.
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Find the mean, the median, and the mode of each data set.
0 0 1 1 2 3 3 5 3 8 7
Answer:
mean is 3 median is 3 and mode is also 3
Step-by-step explanation:
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5. Problem 5.15 (Present Value of an Annuity) Find the present values of these ordinary annuities. Discounting occurs once a year. Do not round intermediate calculations. Round your answers to the nearest cent. a. $400 per year for 14 years at 14%. $ b. $200 per year for 7 years at 7%. $ c. $400 per year for 7 years at 0%. $ d. Rework previous parts assuming they are annuities due. Present value of $400 per year for 14 years at 14%:$ Present value of $200 per year for 7 years at 7% : $ Present value of $400 per year for 7 years at 0% : $
a. Present value of $400 per year for 14 years at 14%: $2,702.83
b. Present value of $200 per year for 7 years at 7%: $1,155.54
c. Present value of $400 per year for 7 years at 0%: $2,800
d. Present value of $400 per year for 14 years at 14% (annuity due): $2,943.07
Present value of $200 per year for 7 years at 7% (annuity due): $1,233.24
Present value of $400 per year for 7 years at 0% (annuity due): $2,800
To find the present values of the ordinary annuities, we can use the formula for the present value of an annuity:
PV = PMT * [(1 - (1 + r)^(-n)) / r]
Where:
PV = Present value
PMT = Payment per period
r = Interest rate per period
n = Number of periods
a. $400 per year for 14 years at 14%:
PV = $400 * [(1 - (1 + 0.14)^(-14)) / 0.14]
≈ $2,702.83
b. $200 per year for 7 years at 7%:
PV = $200 * [(1 - (1 + 0.07)^(-7)) / 0.07]
≈ $1,155.54
c. $400 per year for 7 years at 0%:
Since the interest rate is 0%, the present value is simply the total amount of payments over the 7 years:
PV = $400 * 7
= $2,800
d. Reworking previous parts assuming they are annuities due:
For annuities due, we need to adjust the formula by multiplying it by (1 + r):
a. Present value of $400 per year for 14 years at 14%:
PV = $400 * [(1 - (1 + 0.14)^(-14)) / 0.14] * (1 + 0.14)
≈ $2,943.07
b. Present value of $200 per year for 7 years at 7%:
PV = $200 * [(1 - (1 + 0.07)^(-7)) / 0.07] * (1 + 0.07)
≈ $1,233.24
c. Present value of $400 per year for 7 years at 0%:
Since the interest rate is 0%, the present value remains the same:
PV = $400 * 7
= $2,800
In conclusion:
a. Present value of $400 per year for 14 years at 14%: $2,702.83
b. Present value of $200 per year for 7 years at 7%: $1,155.54
c. Present value of $400 per year for 7 years at 0%: $2,800
d. Present value of $400 per year for 14 years at 14% (annuity due): $2,943.07
Present value of $200 per year for 7 years at 7% (annuity due): $1,233.24
Present value of $400 per year for 7 years at 0% (annuity due): $2,800
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4(m + 7) = 48 what is m
Step-by-step explanation:
4(m+7)=48
m+7=48/4
m+7=12
m=12-7
m=5❤️
Answer:
m = 5
Step-by-step explanation:
Divide both sides by 4, then subtract 7 from both sides. 48/4 = 12, 12 - 7 = 5
what is the rate of change for x-2y=-8
Answer: y=1/2x+4
Step-by-step explanation:
with which measurement procedure is the target behavior recorded if it occurs at any point within the scoring interval?
If the target behavior is recorded whenever it occurs at any point within the scoring interval, the measurement procedure used is called continuous recording or event recording. This method involves observing and recording each instance of the behavior without considering its duration or intensity.
Continuous recording is typically used when the target behavior is discrete and occurs relatively infrequently or has a short duration. With this measurement procedure, each occurrence of the behavior is recorded as a separate event, regardless of when it starts or ends within the scoring interval. Examples of behaviors that can be measured using continuous recording include vocalizations, hand clapping, or instances of aggression.
Continuous recording provides a comprehensive account of the frequency or rate at which the behavior occurs, allowing for a detailed analysis of its occurrence patterns. This method is particularly useful when a precise count of behavior instances is needed and when the duration or intensity of the behavior is not a focus of measurement.
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Which angle is coterminal with 140°? A. 500° B. 320° C. -140° D. 490° SUBMIT
Given:
The angle 140 degree.
The co-terminal angles is defined as an angle, where two angle are drawn in the standard position.
It is determine by adding or subtraction 360 degree to each angle.
\(\begin{gathered} \text{add 360}^{\circ}\text{ } \\ 360^{\circ}+140^{\circ}=500^{\circ} \\ \text{subtract 360}^{\circ} \\ 140^{\circ}-360^{\circ}=-220^{\circ} \end{gathered}\)Answer: Positive co-terminal angle of 140 degree is 500 degree.
Option A is correct.
two point charges are placed on the x-axis as follows: charge q1 = 3.99 nc is located at x= 0.205 m , and charge q2 = 5.01 nc is at x= -0.302 m .
Two point charges, q1 = 3.99 nC located at x = 0.205 m and q2 = 5.01 nC at x = -0.302 m, are placed on the x-axis. The electric field and direction at a given point can be calculated using the principle of superposition.
The electric field at a point due to a point charge is given by Coulomb's law, E = kq/r^2, where E is the electric field, k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q is the charge, and r is the distance between the point charge and the point where the electric field is being measured. To calculate the net electric field at a point due to multiple charges, we use the principle of superposition, which states that the total electric field at a point is the vector sum of the electric fields due to each individual charge.
In this case, we have two charges, q1 = 3.99 nC and q2 = 5.01 nC. The electric field at a point P on the x-axis, due to q1, can be calculated as E1 = kq1/r1^2, where r1 is the distance between q1 and point P. Similarly, the electric field at point P due to q2 can be calculated as E2 = kq2/r2^2, where r2 is the distance between q2 and point P. To find the net electric field at point P, we add the electric fields vectorially, E_net = E1 + E2.
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Jamie has 175 building pieces enough he gets his cat he gets his castle set to a friend Jamie then by how many moving pieces Jamie Jamie have now there are 257 pieces in each building blocks 229 pieces in each helicopter how many does he have an all
The building blocks have 257 pieces each, and the helicopters have 229 pieces each. We need to determine the number of building blocks and helicopters that Jamie currently has, and then sum up the pieces.
If Jamie initially has 175 building pieces, he would have zero moving pieces. After giving the castle set to his friend, he would have 175 pieces left. Now, let's determine how many building blocks and helicopters Jamie has. Let the number of building blocks Jamie has be B, and the number of helicopters he has be H. We can set up a system of equations to solve for B and H:
B + H = 175 ....(1)257B + 229H = Total number of pieces....(2)From equation (1), we can get H = 175 - B. Substituting the value of H in equation (2),
we get:257B + 229(175 - B) = Total number of pieces. Simplifying this equation gives:28B + 39875 = Total number of pieces. Therefore, Jamie has 28 building blocks and (175 - 28) = 147 helicopters. Now, the total number of pieces Jamie has would be: Total number of pieces = 257 × 28 + 229 × 147 = 72399 pieces.
Jamie has a total of 72399 building pieces now.
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What is the solution of the inequality shown
below?
C-8> -1
Enter the correct answer.
??
Answer:
C =8
Step-by-step explanation:
I got this answer because anything greater than 8.