At a concession stand, a pickle and two bags of chips costs a total of $3.25. Three pickles and four bags of chips costs a total of $7.25. To determine the cost of one pickle, Kevin is writing a system of equations. His first equation is shown below. Which of the following could be the second equation in his system of equations?
Answers
Answer:
A bag of chips costs $1
A pickle costs $1.25
Step-by-step explanation:
P + 2c = 3.25 Start with these two equations
3p + 4c = 7.25
p = -2c + 3.25 Solve for one variable
3(-2c +3.25) + 4c = 7.25 Substitute
-6c + 9.75 + 4c = 7.25
-2c = -2
c = 1
p + 2(1) = 3.25 Substitute
p + 2 = 3.25
p = 1.25
Related Questions
The motion of an object was recorded by measuring the velocity of the object in meters per second at various times, as shown in the table. The scatterplot below was graphed from the data in the table, where t represents the time, and v represents the velocity. Based on the scatterplot, which equation BEST represents the relationship between velocity and time?
Answers
Based on the scatterplot, the equation that BEST represents the relationship between velocity and time is y = 2.2x + 6
How to determine the line of best fit?The line of best fit is the line that best represents the relationship between 2 variables. The equation of a line in slope-intercept form is expressed as:
y = mx + b
where
m is the slope
b is the intercept
Using the coordinate points on the plane (0, 6) and (10, 28)
Determine the slope
Slope = 28-6/10-0
Slope = 22/10
Slope = 2.2
Determine the y-intercept
6 = 2.2(0) + b
b = 6
Determine the equation of aline of best fit.
y = 2.2x + 6
Hence based on the scatterplot, the equation that BEST represents the relationship between velocity and time is y = 2.2x + 6
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What are the coordinates for D?
options:
(-3, 2)
(-3, -1)
(-2, -3)
(-3, -2)
Answers
Answer:
(-3, -2)
Explanation:
Coordinates are represented in the form of (x, y)
To know the x coordinates see the value on the x-axis.
To know the y coordinates see the value on the y-axis.
From there we can identify:
A = (x, y) = (-4, 4)
B = (x, y) = (2, 2)
C = (x, y) = (0, -5)
D = (x, y) = (-3, -2) ← Required answer.
The Braves play 162 games in a
season. So far, they have won 56 and lost 40. To win at least 60% of all games, how many more games must
they win?
Answers
Answer: they must win at least 42 more games
Step-by-step explanation:
If the frame has a uniform width of x, which equation represents the area of wall space needed to hang the photo with the frame?
Answers
Answer:
Step-by-step explanation:
\(A=(5+2x)(7+2x)\\ \\ A=4x^2+24x+35\)
SUMMATIVE TEST
ARALING PANLIPUNAN 4
QUARTER 2
tama
temeli
1
Panuto: Isulat kung TAMA O MALI ang mga sumusunod na pahayag.
1. Nakabatay ang hanapbuhay sa kapaligiran.
Gama 2. May interaksyon ang tao sa kanyang kapaligiran,
3. Malawak ang pangisdaan sa Pilipinas.
4. Magkakaiba ang produkto sa iba't-ibang bahagi ng bansa ayon sa kapaligiran.
5. Umaasa ang Pilipino sa gobyerno para matapos ang mga pangangailangan
6. Ang mga likas na yaman ay inaangkat natin sa ibang bansa
7. Ang climate change ay nagpapayaman sa Pilipinas
8. Ang polusyon ay nakaapekto ng mabuti sa ating kalusugan,
9. Ang pagre-recycle ay matalinong pangangasiwa ng mga bansa.
10. Ang likas na yaman ay maaaring maubos at mawala.
Answers
Answer:
1.mali
2.mali
3tama
4.tama
5.mali
6.tama
7.mali
8.mali
9.tama
10.mali
Help pls ? I just need this one question :,)
Answers
Answer:
=3b^2x(2b-1)x(2b+1)
Step-by-step explanation:
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:
Answers
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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What are the values of the constants in the vertex form of the quadratic equation that models the bird's path? h = k = a =
Answers
Answer:
What is the slope of the line that represents the turtle's path?
=0.8
What are the values of the constants in the vertex form of the quadratic equation that models the bird's path?
h=0
k=20
a= -0.12
Which system of equations could you use to determine where the paths intersect?
=B) y = 0.8x and y = -0.12x2 + 20
Step-by-step explanation:
your welcome <3
Based on the graph, the values of the constants in the vertex form of the quadratic equation are:
h = 0.k = 20.a = -0.12.How to write a function.Generally, the vertex form of a quadratic equation can be used to model or write an equation of the function of a graph.
Mathematically, the vertex form of a quadratic equation is given by this formula:
y = a(x - h)² + k
Where:
h and k represents the vertex of the graph.
Note: The sign on "a" indicates whether the quadratic equation opens up or opens down.
Based on the complete information, we can deduce that the values of the constants in the vertex form of the quadratic equation are:
h = 0.k = 20.a = -0.12.Read more on vertex here: brainly.com/question/525947
Let the long-run profit function for a representative firm is given by π i
=p 2
−2p−399, where p is the price of computer. The inverse market demand for computer is given by p=39−0.009q, where q is unit of computers. Suppose technology for producing computers is identical for all firms and all firms face identical input prices. (a) Find the firm's output supply function. (b) Find the market-equilibrium price and the equilibrium number of firms. (c) Find the number of computers sold by each firm in the long run.
Answers
(a) The firm's output supply function is given by q = (p + 199) / 2.
(b) The market-equilibrium price is $32.56, and the equilibrium number of firms is 10.
(c) Each firm sells 70 computers in the long run.
To find the firm's output supply function, we need to maximize the firm's profit function, which is given by π = p^2 - 2p - 399. In the long run, firms will produce where marginal cost equals marginal revenue. Marginal revenue can be obtained by differentiating the inverse market demand function with respect to q, and marginal cost is equal to the derivative of the profit function with respect to q. Equating the two, we get:(39 - 0.009q) = (2q - 2) / q
Simplifying the equation, we find:
q = (p + 199) / 2
This represents the firm's output supply function.
To find the market-equilibrium price and the equilibrium number of firms, we need to find the intersection point of the market demand and supply. Substituting the output supply function into the inverse market demand function, we have:p = 39 - 0.009((p + 199) / 2)
Simplifying and solving for p, we get:
p ≈ $32.56
Substituting this price back into the output supply function, we find:
q = (32.56 + 199) / 2 ≈ 115.78
Given that each firm produces 70 computers in the long run, we can calculate the equilibrium number of firms:
Number of firms = q / 70 ≈ 10
Since each firm sells 70 computers in the long run, and there are 10 firms, the total number of computers sold by each firm is:70 * 10 = 700
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Which rational number is larger 5/4 or 1/4
Answers
Answer:
5/4
Step-by-step explanation:
Yeeeeeeeeeeeeeeeeeeeeeeee
Answer:
5/4
Step-by-step explanation:
A manufacturer can produce 4,860 cell phones when x dollars is spent on labor and y dollars is spent on capital. The model that represents the cost of producing the cell phones is given by 90x 4
3
y 4
1
=4860 A. Find the marginal cost model, in terms of x and y. dx
dy
= B. Find the marginal cost when $81 is spent on labor and $16 is spent on capital. Round the marginal cost to the nearest cent. $
Answers
the formula for dy/dx in terms of x and y is:
dy/dx = -3/(x) * y
the value of dy/dx at the point (81, 16) is - 16/27
To find the formula for dy/dx in terms of x and y, we'll differentiate the given equation with respect to x:
\((90x^{(3/4)})(y^{(1/4)})\) = 4860
Differentiating both sides with respect to x:
d/dx [\((90x^{(3/4)})(y^{(1/4)})\)] = d/dx [4860]
Using the product rule for differentiation:
(3/4)(90)\((x^{(-1/4)})(y^{(1/4)})\) + (90\(x^{(3/4)\))(1/4)(\(y^{(-3/4)\))(dy/dx) = 0
Simplifying:
(3/4)(90)\((x^{(-1/4)})(y^{(1/4)})\) + (90\(x^{(3/4)\))(1/4)(\(y^{(-3/4)\))(dy/dx) = 0
Rearranging terms and isolating dy/dx:
(dy/dx) = -[(3/4)(90)\((x^{(-1/4)})(y^{(1/4)})\)] / [(90\(x^{(3/4)}\))(1/4)(\(y^{(-3/4)\))]
Simplifying further:
(dy/dx) = -3/(x) * y
Therefore, the formula for dy/dx in terms of x and y is:
dy/dx = -3/(x) * y
Now let's find the value of dy/dx at the point (81, 16):
Substituting x = 81 and y = 16 into the formula:
dy/dx = -3/(81) * 16
= -3/81 * 16
= - 16/27
Therefore, the value of dy/dx at the point (81, 16) is - 16/27
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If x = y, then 2x = 2y.
Answers
Answer: then x+3 or =y+3
Step-by-step explanation:
Ms. Debbie and 2 other teachers are bringing a group of 16 children tothe movies. She has $240 to spend. How much money will be left for snacks after she pays for the tickets?
Answers
The cost of movie tickets for the group would be 19T (19 people multiplied by the ticket price). After paying for the tickets, the remaining budget for snacks would be $240 - 19T
Let's consider the terms you've mentioned: Ms. Debbie, 2 other teachers, a group of 16 children, $240 budget, and the cost of movie tickets and snacks.
First, we need to know the cost of movie tickets for the entire group. This includes 16 children, Ms. Debbie, and the 2 other teachers, which totals to 19 people attending the movies. Since the ticket price is not mentioned, let's assume it as 'T' dollars per ticket.
The cost of movie tickets for the group would be 19T (19 people multiplied by the ticket price). After paying for the tickets, the remaining budget for snacks would be $240 - 19T. Without knowing the specific cost of the movie tickets, we cannot calculate the exact amount left for snacks. However, once you have the price of movie tickets, you can substitute that value for 'T' and calculate the remaining budget for snacks.
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HELPPPP ASAP I HAVE ONLY 5 MINUTES LEFT TO ANSWER OR ILL GET A 0 ILL GIVE BRAINLY!!(05.04 MC)
An image of a rectangular prism is shown below:
Part A: A cross section of the prism is cut with a plane parallel to the base. What is the name of the shape created by the cross section? Explain your answe
(5 points)
Part B: If a cross section of the prism is cut diagonal to the base, what would be the shape of the resulting cross section? (5 points)
Answers
Answer:
Rectangular prism
Triangular prism
part 2
When the rectangular prism is cut across the opposite diagonals, then the shape formed would be a triangular prism shape
Step-by-step explanation:
please what’s the answer!!!!??!?
thank you
Answers
Answer:
7 seconds i thonk
Step-by-step explanation:
Manny and Zack are hosting events that are catered by the same company. Manny plans to have 66 adults and 27 children attend, so the total projected cost of his meals is $3,651. Zack has 77 adults and 43 children on his guest list, so he will pay the caterer $4,409. How much does the caterer charge for each meal?
Answers
Answer:
The caterer charged $50 for an adult's meal and $13 for a child's meal
Step-by-step explanation:
Let the cost of an adult meal be $x
and the cost of a child meal be $y
From the question,
Manny plans to have 66 adults and 27 children and the total cost of his meals is $3,651.
We can write that
66x + 27y = 3651 ...... (1)
Also, from the question,
Zack has 77 adults and 43 children and the total cost he will pay the caterer is $4,409.
We can also write that
77x + 43y = 4409 ...... (2)
Multiply equation (1) by 7, so that we get
462x + 189y = 25557 ...... (3)
Multiply equation (2) by 6, so that
462x + 258y = 26454 ...... (4)
Now, subtract equation (3) from equation (4), so that
69y = 897
∴ y = 897/69
y = 13
Put the value of y into equation (1) to get x
66x + 27y = 3651
∴ 66x + 27(13) = 3651
66x + 351 = 3651
66x = 3651 - 351
66x = 3300
x = 3300/66
x = 50
Therefore,
The cost of an adult's meal is $50
and the cost of a child's meal is $13
Hence, the caterer charged $50 for an adult's meal and $13 for a child's meal.
does 3/7 , 12/21 make a proportion
Answers
Answer:
No, it does not.
Step-by-step explanation:
The question, does 3/7 and 12/21 make a proportion, does not. It does not make a proportion, because for 3 to equal 12, you must multiply by four. when you multiply 7 by 4, you get 28. that is not right. if this explanation is too confusing, i added a picture
20 POINTS!!!!!! HELPPPP
Answers
Answer:
6(x+6)
Step-by-step explanation:
I’ll be gone for a while I may answer some if I see it
factor out 6 from each term
=6(x+6)
The area of a rectangle is (1 + √6). The length of one side is (√3+√2)m. Find without using a calculator, the length of the other side in the form √a + √b. where a and b are integers.
Answers
Answer:
2.236067977
Step-by-step explanation:
(√a+√b) = (√3+√2)
= (√5)
the length of the other side = 2.236067977
Answer:
\(( \frac{1 + \sqrt{6} }{ \sqrt{3} + \sqrt{2} } ) (\frac{ \sqrt{3} - \sqrt{2} }{ \sqrt{3} - \sqrt{2} } )\)
\( \sqrt{3} - \sqrt{2} + \sqrt{18} - \sqrt{12} \)
\( \sqrt{3} - \sqrt{2} + 3 \sqrt{2} - 2 \sqrt{3} \)
\(2 \sqrt{2} - \sqrt{3} \)
\( \sqrt{8} - \sqrt{3} \)
So the length of this rectangle is (√8 - √3) meters, or (2√2 - √3) meters.
what is the least common denominator of 5/9 and 1/12
Answers
The least common factor of the denominator will be 36.
What is the least common factor (LCM)?The corresponding value integer that can be divided by both is known as the lowest relevant multiple, commonly referred to as the lowest common multiple of pair (or more) numerals a and b.
The fraction numbers are given below.
5/9 and 1/12
The factors of 9 are given as,
9 = 3 x 3
The factors of 12 are given as,
12 = 2 x 2 x 3
Then the least common factor of the denominator is given as,
LCM of 9 and 12 = 2 x 2 x 3 x 3
LCM of 9 and 12 = 36
The least common factor of the denominator will be 36.
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a population of ground squirrels has an annual per capita birth rate of 0.08 and an annual per capita death rate of 0.02. calculate an estimate of the total number of individuals added to (or lost from) a population of 1000 individuals in one year. if individuals are lost, use a negative sign in front of your answer.
Answers
Per year 40 squirrels are added
What is estimation explain?Any of the many statistical methods used to determine the value of a population's attribute based on observations of a sample taken from the population is known as an estimate. For instance, a point estimate is the one figure that is most likely to convey the property's value.
What are the estimation and types?Estimates are created by multiplying the unit cost of the relevant goods by the amounts derived from the dimensions of the designs for various things needed to execute the project. Estimates' objectives: should be aware of the financial requirements for finishing the suggested task.
According to the given question
The birth rate is 0.06 and the death rate is 0.02 per person per year. The number of deaths per year for a population of 1000 is equal to 1000*0.02, or 20. The annual birth rate is equal to 1000 * 0.06, or 60. As a result, the population of squirrels grows by a total of 40 individuals each year
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What is the area of trapezoid ABCD?
Enter your answer as a decimal or whole number in the box. Do not round at any steps.
units²
Trapezoid A B C D on a coordinate plane with vertex A at negative 3 comma 2, vertex B at 1 comma 5, vertex C at negative 7 comma negative 3, and vertex D at 0 comma negative 2. Angle B is shown to be a right angle.
Answers
Given the coordinates above, the area of the trapezoid is approximately 41. See the explanation below.
What is a Trapezoid?A trapezoid is a quadrilateral with at least one set of parallel sides in American and Canadian English. A trapezoid is known as a trapezium in British and other varieties of English.
For the calculation showing the above solution:
Step 1 - Given:
A = (-3,2)
B = (1, 5) = ⊥
C = (-7, -3)
D = (0.-2)
Step 2 - To get the distance between the points we need to use the formula for Distance between two points which is given as:
d=√((x2 – x1)² + (y2 – y1)²).
Distance of Line AB =
√((1 – (-3))² + (5 – 2)²).
= √[(4)² + (3)²]
= √( 16 + 9)
= √25
AB= 5
Repeat this for BC, CD, DA and we'd get the following
BC = 11.313708498985
CD = 7.0710678118655
DA = 5
Step 3 - From the above structure, [see attached] we then apply the formula for the area of a Trapezoid (Trapezium) which is given as:
A = [(a+b)/2] h
Where a = 5
b = 11.313708498985
h = 5
= [(5+11.313708498985)/2] 5
= 40.7842712475
\(\approx\) 41
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Estimate the sqaure root of 12.5
Answers
Answer
3.535534
Step-by-step explanation:
Answer:
\( \frac{5 \sqrt{2} }{2} \: or \: \: 3.53553\)
Step-by-step explanation:
first change it to fraction
\( \sqrt[]{12.5} = \sqrt[]{ \frac{25}{2} } = \sqrt[]{ \frac{5}{ \sqrt[]{2 } } } = \frac{5 \sqrt[]{2} }{2} \)
Evaluate the expression when x=2
Answers
Answer:
100
Step-by-step explanation:
2x2=4 4 squared is 16
16+3=21
in the brackets is 2+2 which is 4
21x4=84
4x4=16
84+16=100
im so sorry if i get this wrong
In the figure above, RT = TU. What is
the value of x ?
A) 72
B) 66
C) 64
D) 58
Answers
Answer:
C. 64
Hope that helps you
The value of the angle x is calculated as: ∠x = 64
How to find the value of the missing angle?Let the intersect of line SV and RT be Y
Sides RTU forms a triangle, and the sum of the interior angles of a triangle is 180.
Since RT = TU, ∠TRU = ∠TUR = z
114 + z + z = 180
114 + 2z = 180
2z = 180 - 114
2z = 66
z = 66/2
z = 33
Line STU is a straight line and the angle of a straight line is 180. Thus:
114 + ∠STR = 180
∠STR = 180 - 114
∠STR = 66
Also, sides SYT is forms a triangle and the sum of all interior angles of a triangle is 180. Thus:
66 + 31 + ∠SYT = 180
97 + ∠SYT = 180
∠SYT = 180 - 97
∠SYT = 83
But ∠SYT = angle RYV = 83
sides RYV form a triangle and the sum of all interior angles of a triangle is 180
33 + 83 + ∠x = 180
116 + ∠x = 180
∠x = 180 - 116
∠x = 64
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Segments BG and AH are lines are what.
A.skew
B. Perpendicular
C. Parallel
Answers
Answer:
A, they are skew
Step-by-step explanation:
Skew means that they are not perpendicular and they are not parallel.
Sorry if it turns out wrong.
An international fast food chain is looking at opening a new franchise in Emerald, Queensland. They contact a marketing research firm to help them assess the level of interest in the restaurant within the town. From a list of all the residential addresses in Emerald, the firm selects a simple random sample of 100 and mails a brief questionnaire to each. The population of interest is
Select one:
a. all people in Emerald, Queensland.
b. all adults in Emerald, Queensland.
c. the 100 addresses to which the questionnaire was mailed.
d. the people in Emerald who eat fast food.
e. all residential addresses in Emerald, Queensland.
Answers
The population of interest is: A. all people in Emerald, Queensland.
The population of interest refers to the group of individuals that the research is trying to draw inferences about. In this case, the international fast food chain is looking to assess the level of interest in opening a franchise in Emerald, Queensland.
Therefore, the population of interest is all people who live in Emerald, Queensland, as they are the group that the research is trying to understand. The sample of 100 addresses that the research firm selected is just a subset of this population and the questionnaires are being sent to them to infer about the entire population.
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What is the value of z?
32°
67°
Answers
The value of angle Z is 81°. Thus, option C is correct.
Given that the value of angle A is 32° and the value of angle B is 67°. We need to find the value of angle Z. Before solving the question let us have a quick glance over the concept of angle sum property.
Angles sum property states that the sum of angles of a triangle is 180°.
A + B + Z = 180°Now substituting the given values in the equation we get,32° + 67° + Z = 180°⇒ 99° + Z = 180°Now we will transfer the constant term to the RHS.99° + Z - 99° = 180° - 99°⇒ Z = 81°
In order to solve the question, we have used the concept of the angle sum property. This property is used to find the sum of angles in a triangle. Any triangle has three angles and the sum of these three angles is always equal to 180°.
This concept helps us to form equations for the given values of angles. Further, these equations can be solved to find the unknown angles in the triangle.
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When graphing the inequality y > 2x – 5, the line would be closed/dashed and the
shading would be above/below the line. (please circle your answers)
Answers
Answer:
dashed above the line
Step-by-step explanation:
dashed is greater or less than
closed is greater, less than, or equal to
Jonah has been saving for a video game. Last year it cost $28. This year it costs $36. Determine the percent of change.
Answers
Answer:
Where: 28 is the old value in 36 is the new value in this case we have a positive change increase of 28.571142857