Answer:
36 degrees
Step-by-step explanation:
This problem can be solved with the help concept of sum of angles of any triangle.
sum of angles of any triangle is 180.
Given angular value of triangle ABC is A=2x B=6x C=2x
Thus sum of A, B , C is 180
A+B+C = 180 plug in th evalue of angle A, B and C
=>2x+6x+2x = 180
=> 10x=180
=> x = 180/10 = 18
Value of angle C in terms of x is 2x
Thus angular value of angle c = 2*18 = 36 degrees.
22 Answer:
The variables x and y vary directly. Use the given values to write
an equation that relates x and y: x = 4, y = -16
23 Answer:
Find the slope of the graph of the equation: y = 2x + 5
24 Answer:
Find the y-intercept of the graph of the equation: y = 2x + 5
25 Answer:
Find the slope of the graph of the equation: y = 5 - 3x
26 Answer:
Find the y-intercept of the graph of the equation: y = 5 - 3x
27 Answer:
Solve the equation algebraically: 4x - 3 = 2
28 Answer:
Solve the equation algebraically: 9 = 10 - x
29 Answer:
Are the graphs of the two equations parallel lines
y = 2x + 1 and 2y = 4x + 5
a. yes
b. no
30 Answer:
Do the graphs of the two equations demonstrate parallel lines?
y = 4x - x and y = -4x + 3
a. yes
b. no
The slope of the graph of the equation: y = 2x + 5
Slope = 2
The y-intercept of the graph of the equation: y = 2x + 5
Y-intercept = 5
The slope of the graph of the equation: y = 5 - 3x
Slope = -3.
The y-intercept of the graph of the equation: y = 5 - 3x
Y-intercept = 5
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
1) y = 2x + 5 Slope = 2 is the slope of the equation's graph.
2.) The equation's graph's y-intercept is written as y = 2x + 5 Y-intercept = 5.
3) y = 5 - 3x Slope = -3 is the slope of the equation's graph.
4) The graph's y-intercept is as follows: y = 5 - 3x Y-intercept = 5.
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Y/6=8 or read as follows Y divided by six equals eight
Answer:
y/6=8
Multiply both sides by 6
6y/6) = 8×6
Simplify
y=48
0 Help please!
If you know geometry please help!
Answer:
D
Step-by-step explanation:
It's an Icoseles triangle do the two bottom angles are equal. 50+ 50 = 100. All triangle angles add up to 180 so 180 - 100 = 80
Answer:
Option D - 80
Step-by-step explanation:
The triangle is an isosceles triangle, which means that two angles and sides are the same. That means that other side is also 50°. All the angles in a triangle add up to 180°. Since we know two of the angles, we should know what the angle x is. We can write it as 50 °+ 50° + x = 180°. You can add 50° and 50° to get 100°. Now you have 100° + x = 180°. Subtract 100° from both sides to get x = 80°.
Hope this helps! :)
I need some help with this problem
Answer:(-(3x^(3)-x-1))/((x^(2)+1)^(2))
During a rugby game, team b scored 20 points less than team a. A total of 68 points were scored. How many points did each team score?
The total points scored by team a will be equal to 24 and points scored by team b will be 4 points.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the information in the question,
Let points scored by team A be x.
Then, team b scores 20 points less than team a. So, the equation will be,
b = (x - 20)
So,
x + (x - 20) = 68
x + x - 20 = 68
2x = 48
x = 48/2
x = 24
So, Team a scores x which is 24 and,
Team b = 24 - 20 = 4
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) In a geometric progression, the sum of the first two terms is equal to 16. The sum to infinity is equal to 25. Find the possible values of the first term.
There are no possible real values for the first term 'a' that satisfy both equations.
Let's denote the first term of the geometric progression as 'a' and the common ratio as 'r'.
The sum of the first two terms can be expressed as:
a + ar = 16
To find the sum to infinity, we can use the formula:
Sum to infinity = a / (1 - r)
Given that the sum to infinity is 25, we have:
25 = a / (1 - r)
We now have two equations:
a + ar = 16
a / (1 - r) = 25
We can solve these equations simultaneously to find the possible values of 'a'.
From the first equation, we can factor out 'a' to get:
a(1 + r) = 16
Dividing both sides of the second equation by 25, we have:
a / (1 - r) = 1
We can rearrange this equation to get:
a = 1 - r
Substituting this expression for 'a' in the first equation, we get:
(1 - r)(1 + r) = 16
Expanding the equation, we have:
1 - r^2 = 16
Rearranging the terms, we get:
r^2 = -15
Since we are dealing with a geometric progression, the common ratio 'r' must be a real number. However, we observe that r^2 = -15 has no real solutions. Therefore, there are no possible real values for the first term 'a' that satisfy both equations.
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Write 2 multiplication or division expressions that equal -360
This expression divides 360 by -1 to get -360.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division, without the use of equal sign (=). It can include one or more terms, which are separated by addition or subtraction operators.
Here are two possible multiplication/division expressions that equal -360:
18 x (-20) = -360
This expression multiplies 18 by -20 to get -360.
360 ÷ (-1) = -360
Therefore, This expression divides 360 by -1 to get -360.
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Triangle XYZ is rotated 90° counterclockwise about the origin to produce X'Y'Z'. What are the coordinates of X'Y'Z'?
Answer:
59
Step-by-step explanation:
6 plus 4 equals 8 plus 9
write an equation for each line
Please help meee im being timed on thisss
Answer:
y=0.25x
We can think of k as an unknown number.
8×_=2.00
12×_=3.00
20×_=5.00
If we divide 2 with 8 we are left with 0.25.
It's the same for the other numbers so we know the constant is 0.25.
When we use the formula y=0.25x with the numbers above, it is correct.
8×0.25=2.00
12×0.25=3.00
20×0.25=5.00
You deposit $5000 in an account earning 5% interest compounded continuously. How much will you have in the account in 5 years? Round to the nearest cent.
what is the vaule of 2 × 4^2 + 5 enter the answer in the box
The value of the expression 2 x 4² + 5 will be 37
What is expression in mathematics?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
Given is the following expression -
2 x 4² + 5
On solving the expression, we get -
2 x 4² + 5
2 x 4 x 4 + 5
32 + 5
37
The value of the expression 2 x 4² + 5 will be 37
Therefore, the value of the expression 2 x 4² + 5 will be 37
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Evaluate the following expression.
(-3)0
Answer here
The expression (-3)0 has a value of 0 when evaluated because a number multiplied by 0 gives 0
Evaluating the expression (-3)0From the question, we have the following parameters that can be used in our computation:
(-3)0
The above statement is a product expression that multiplies the values of -3 and 0
Also, there is no need to check if there are like terms in the expression or not
This is because we are multiplying the factors
So, we have
(-3)0 = 0
This means that the value of the expression is 0 i.e a number multiplied by 0 gives 0
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HURRY PLZ ANSWER 5^2+20
Answer:
45
Step-by-step explanation:
Answer:
5²=25
25+20= 45
hope it helps
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Answer:
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Answer:
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a dilation has center (0,0). Find the image of the point L(-4,0) for the scale factor 7.
The image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).
A dilation with a center of (0,0) and a scale factor of 7 means that every point in the plane will be multiplied by a factor of 7 from the origin.
To find the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7, we can simply multiply the coordinates of L by the scale factor.
The coordinates of the image point L' will be:
L' = (-4 × 7, 0 × 7) = (-28, 0)
Therefore, the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).
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Systems of equations with graphing
ITS THE FOURTH QUESTION
The surface areas of the figures are 336, 82 and 836
How to calculate the surface areasFrom the question, we have the following parameters that can be used in our computation:
The figures
For the triangular prism, we have
Surface area = 2 * 1/2 * 6 * 8 + 12 * 10 + 8 * 12 + 6 * 12
Surface area = 336
For the rectangular prism, we have
Surface area = 2 * (7 * 3 + 3 * 2 + 2 * 7)
Surface area = 82
For the cylinder, we have
Surface area = 2π * 7 * (7 + 12)
Surface area = 836
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The surface area of the prisms are
1. 336 cm²
2. 82 m²
3. 836 cm²
What is surface area?The area occupied by a three-dimensional object by its outer surface is called the surface area.
A prism is a solid shape that is bound on all its sides by plane faces.
The surface area of prism is expressed as;
SA = 2B +pH
where B is the base area , p is the perimeter and h is the height.
1. SA = 2B +ph
B = 1/2 × 6 × 8
= 24 m²
p = 6+8+10 = 24m
h = 12m
SA = 2 × 24 + 24 × 12
= 48 + 288
= 336 cm²
2. SA = 2( 3× 2) + 3× 7)+ 2 × 7)
= 2( 6+21+14)
= 2( 41)
= 82 m²
3. SA = 2πr( r +h)
= 2 × 3.14 × 7( 7 + 12)
= 44( 19)
= 836 cm²
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Given: (3x-y)² + (x-5)² =0 Solve for x and y.
Resolving the expression into a system of linear equations, the value of x and y are 5 and 15 respectively
What is the value of x and y?Expanding the given equation, we get:
\((3x - y)^2 + (x - 5)^2 = 0\\9x^2 - 6xy + y^2 + x^2 - 10x + 25 = 0\\10x^2 - 6xy + y^2 - 10x + 25 = 0\)
To solve for x and y, we need another equation that relates them. However, since the given equation has no real solutions (as the sum of two squares cannot be zero unless both squares are zero), we can conclude that there are no real values of x and y that satisfy the equation.
Alternatively, we could write the given equation as:
(3x - y)² = (5 - x)²
Taking the square root of both sides, we get:
3x - y = ±(5 - x)
Now we have two equations:
3x - y = 5 - x ...eq(i)
3x - y = x - 5 ...eq(ii)
solving for both x and y in the system of linear equations
x = 5 and y = 15
Therefore, the solution to the given equation is:
x = 5, y = 15
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4. Levi bought two Rescue Bots for $7.50 each and three DVDs for $5.25
each. How much money did he spend? *
A. $12.75
B. $25.50
C. $30.75
D. $39.38
Answer:
A. 7.50+5.25= 12.75........
Answer:
C.
Step-by-step explanation:
Two bots 7.50 each
Three DVDs 5.25 each
2 x 7.50 = 15
3 x 5.25 = 15.75
15 + 15.75 = 30.75
$30.75
6-(-2)-(-5)= find the difference
Answer:
answer = -1
Step-by-step explanation:
Which One is the Correct answer? 1,2,3, or 4?
Please hurry...
Answer:
Step-by-step explanation:
47.50 + 4x = 65.90
High school math question
Answer: Choice C. \(x = \pm\frac{\pi}{6}\)
=========================================================
Explanation:
Recall that
\(\tan(x) = \frac{\sin(x)}{\cos(x)}\\\\\)
So we can say
\(\tan(3x) = \frac{\sin(3x)}{\cos(3x)}\\\\\)
The vertical asymptotes occur when the denominator is zero.
If we were to plug in \(x = \frac{\pi}{6}\), then we'd have,
\(\tan(3x) = \frac{\sin(3x)}{\cos(3x)}\\\\\tan(3*\frac{\pi}{6}) = \frac{\sin(3*\frac{\pi}{6})}{\cos(3*\frac{\pi}{6})}\\\\\tan(\frac{\pi}{2}) = \frac{\sin(\frac{\pi}{2})}{\cos(\frac{\pi}{2})}\\\\\tan(\frac{\pi}{2}) = \frac{1}{0}\\\\\tan(\frac{\pi}{2}) = \text{und}\text{efined}\\\\\)
This shows that one vertical asymptote is at \(x = \frac{\pi}{6}\)
Through similar steps, you should find that another vertical asymptote is at \(x = -\frac{\pi}{6}\)
We can condense those two equations into \(x = \pm\frac{\pi}{6}\)
The measures of the angles of △ABC are given by the expressions in the table.
The angles of the triangle are 125 degrees, 20 degrees, and 35 degrees.
Define triangles.A triangle is a closed geometric shape with three sides, three angles, and three line segments. Three non-collinear points are joined by line segments to create the simplest polygon, which has three non-collinear points.
Triangles can be categorized according to the size of their sides and angles. Triangles can be categorized as equilateral (all sides are equal in length), isosceles (both sides are equal in length), or scalene based on their sides (all sides are different in length). Triangles can be categorized as acute (all angles are less than 90 degrees), obtuse (one angle is greater than 90 degrees), or right (one angle is greater than 90 degrees) (one angle is exactly 90 degrees).
In any triangle, the sum of the three interior angles is always 180 degrees. Therefore, we can write:
a + b + c = 180
Substituting the given values, we get:
(6x-1) + 20 + (x+14) = 180
Simplifying and solving for x, we get:
7x + 33 = 180
7x = 147
x = 21
Now that we have the value of x, we can substitute it back into the expressions for the angles to find their values:
angle a = (6x-1) = (6*21-1) = 125 degrees
angle b = 20 degrees
angle c = (x+14) = (21+14) = 35 degrees
Therefore, the angles of the triangle are 125 degrees, 20 degrees, and 35 degrees.
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Please help 15 points! PLS
Answer:
\(m\angle D=50^\circ\)
Step-by-step explanation:
With the given marking, which implies that FD=FE, then the angles opposite these congruent sides must also be congruent. Since angle E is 50 degrees, then angle D should also be 50 degrees.
Another explanation is that the markings imply that the triangle is isosceles. Therefore, angle D should also be 50 degrees.
In a large university, 20% of the students are business majors. A random sample of 100 students is selected, and their majors are recorded. a) Compute the standard error of the proportion. b) What is the probability that the sample contains at least 12 business majors
Answer:
a. 0.04
b. 0.9772
Step-by-step explanation:
Please check attachment for complete solution and step by step explanation
whats 60 + 9........
Answer:
Its 69 just use your fingers
Step-by-step explanation:
2. The table below shows the results of an experiment that relates the height at which a ball is dropped, x, to the height of its first bounce, y.
Drop Height (x) (cm) Bounce Height (y) (cm)
100 26
90 23
80 21
70 18
60 16
Answer:
90 , 23 is the answer
Step-by-step explanation:
Keith biked 26 miles today and 32 miles yesterday. Which equation shows m, the number of miles he biked all together?
Answer:
m = 26+32
Step-by-step explanation:
To determine the total number of miles biked, add the days together
m = 26+32
Answer:
26+32=m
Step-by-step explanation:
That is the general eqaution of this, because u must add both days worth of biked miles together.
Helppp pleasee!!
In your own words, write a definition for sales tax.
2) If you buy a meal from a restaurant that costs $15.00, and the tax is 7%, how much do you pay in taxes?
- Explain in detail, the steps you would take to solve this sales tax question.
The value of the tax for the meal is $1.05.
What Is a Sales Tax?The government levies a consumption tax known as a sales tax on the purchase of goods and services. At the point of sale, a standard sales tax is imposed, collected by the shop, and paid to the government.
Depending on the regulations in that country, a business may be responsible for sales taxes in that jurisdiction if it has a presence there, which can be a physical site, an employee, or an associate.
Given the cost of the meal = $15.00
and rate of tax = 7%
converting the rate of tax into decimal form,
rate of tax = 7% = 7/100
rate of tax = 0.07
amount of tax = cost x rate of tax
amount of tax = 15 x 0.07
amount of tax = $1.05
Hence the amount of tax is $1.05.
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