Answers
x is equal to 125° in the triangle
How to determine the value x in the triangle?The figure given here is a triangle. And we know that the sum of the angles in a triangle is 180°. So we can apply this concept by writing the expression below:
x + 25° + 30° = 180°
x + 55° = 180°
x = 180° - 55°
x = 125°
Therefore, the value of x is 125°. So x is equal to 125°
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Related Questions
The points (2, -4), (x, y), A, and B all lie on the line.
Find an equation relating x and y. (Lesson 2-11)
Answers
An equation relating x and y is given by y = 3x/4 - 11/2.
How to calculate the slope of a line?Mathematically, the slope of any straight line can be calculated by using this formula;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
For the slope of this line using point AB, we have:
Slope of AB = (2 - (-1))/10 - 6)
Slope of AB = (2 + 1)/4
Slope of AB = 3/4
Since point AB and points (2, -4), (x, y) all lie on the same straight line, they would all of the same slope. Therefore, an equation relating x and y can be calculated as follows:
3/4 = (y + 4)/(x - 2)
3(x - 2) = 4(y + 4)
3x - 6 = 4y + 16
4y = 3x - 6 - 16
4y = 3x - 22
y = 3x/4 - 22/4
y = 3x/4 - 11/2
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PLEASE HELPPPP FAST!!!!!
Simplify the imaginary number...
Answers
some airlines have restrictions on the size of items of luggage that passengers are allowed to take with them. suppose that one has a rule that the sum of the length, width and height of any piece of luggage must be less than or equal to 234 cm. a passenger wants to take a box of the maximum allowable volume. if the length and width are to be equal, what should the dimensions be?
Answers
The length, breadth and height will be 78 cm, 78cm, 78cm each.
let consider the length = l
breadth = b
height = h
we are provided that
l + b + h = 234cm .......(1)
Also we have to maximize the volume , provided length is equal to breadth
∴ eqn (1) becomes
2b + h = 234
h = 234 - 2b
also ,
volume(v) = lbh
v = b²(234 - 2b)
v = b²234 - 2b³
now to maximize the volume we take the first derivative of the volume wrt 'b' and place it equal to zero. ( lagrange method )
i.e. d( v)/db = 0
∴ 468b - 6b² = 0
6b² - 468b = 0
6b( b - 78 ) = 0
∴ b = 78 cm
now as length = breadth
l = b = 78 cm
also putting this value in eqn (1)
h = 234 - 2b
h = 78 cm
So , the dimensions will be equal and will be 78cm , 78cm, 78cm each .
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resolver por método de Cramer
1/2x+2/3y=6
-4x+3/5y=8
ayuda
Answers
Add (7x^3-2x^2-5x+6) (2x^3+3x^2-x-1)
a) 9x^3+x^2-6x+5
b) 9x^6+x^4+5x^2-6
c)9x^3-x^2-6x+5
d)14x^3-6x^2-5x-6
Answers
Addition of the given is (a) [tex]9x^{3} +x^{2}-6x+5[/tex]
Equation given,
Eq 1 = [tex]7x^{3} - 2x^{2}-5x+6[/tex]
Eq 2 = [tex]2x^{3}+ 3x^{2}-x-1[/tex]
Adding Eq 1 + Eq 2,
[tex](7x^{3} - 2x^{2}-5x+6) + (2x^{3}+ 3x^{2}-x-1)[/tex]
[tex](7x^{3} + 2x^{3}) + (- 2x^{2}+ 3x^{2})+(-5x-x)+(6-1)[/tex]
[tex]9x^{3}+ x^{2}-6x+5[/tex]
Hence, the answer.
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Sam has had five quizzes so far in his class. His average score is 74%. He
scored a 99% on his sixth quiz. What is his average now? Round to a whole
number.
Answers
Sam's average score based on the six quizzes is 78%.
What is the average?The average is the mean, a central tendency value.
We compute the mean by summing the values of a data set and dividing by the number of items in the collection.
In this situation, the average of 5 quizzes multiplied by 5 gives the total score in the 5 quizzes, which resulted in the average score.
This total is added to the score in the sixth quiz to get the total score for the six examinations before dividing the sum by 6, giving the overall average.
The average score in 5 quizzes = 74%
Total score in the 5 quizzes = 370% (74 x 5)
The score on the sixth quiz = 99%
Total score in six quizzes = 469% (370 + 99)
The average score in the 6 quizzes = 78.167% (469/6)
= 78%
Thus, Sam scored an average of 78% on the six tests.
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Which graph represents the inequality y ≥ 1-3x?
Answers
Answer: show us the graph
Step-by-step explanation:
its an algebra problem i need help soon
perp. is perpendicular
Answers
The slope-intercept form of the equation of the line is y = 2/3(x) - 4
How to determine the slope-intercept form of the equation of the line?Given that: the unknown line passes through (0, -4) and it is perpendicular to y= -3/2(x) + 1
The slope-intercept form of a straight line is:
y = mx + c,
where m is the slope and c is the y-intercept
When the two lines are perpendicular, the product of their slope is -1 i.e.
m₁ × m₂ = -1
where m₁ and m₂ represent the slope of the lines
Let the slope of the given line be m₁ and the slope of the unknown line be m₂
Line1(given):
y = -3/2(x) + 1 and m₁ = -3/2
m₁ × m₂ = -1
-3/2 × m₂= -1
m₂ = 2/3
Line 2(unknown) with the point (0, -4):
y = mx + c (x = 0 and y = -4)
-4 = 3/2(0) + c
c = -4
y = 2/3(x) - 4
Therefore, the slope-intercept form of the equation of the line that passes through (0, -4) and is perpendicular to y= -3/2(x) + 1 is y = 2/3(x) - 4
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a recipe calls for 15oz of flour every 8oz of milk, if you use 150z of milk how much flour should you use
Answers
The required weight of the flour is 28.125 ounces.
A recipe calls for 15 ounces of flour for every 8 ounces of milk. It is given that we use 15 ounces of milk. Then we need to calculate the weight of flour we need to use.
The ratios of the ingredients must remain in equal proportions. The fraction of one divided by the other is referred to as the ratio. A proportion is an equation that equates two ratios. We will use the unitary method. Let the weight of the flour required be denoted by the variable "w". A variable is a quantity that can change in a mathematical problem or experiment.
w = (15/8)*15
w = 28.125
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help meeeeeeeeeeeeeee pleaseee
Answers
The table of solutions for the given equation (y = -2x²) include the following:
x y_
-2 -8
-1 -2
0 -0
1 -2
2 -8
Also, a graph of the solution of this equation (y = -2x²) has been plotted in the image attached below.
How to determine the solution?In order to determine the valid and true solutions to the given quadratic equation, we would have to substitute the values of contained in the table into the quadratic equations as follows;
At x = -2, the value of point y is as follows:
y = -2x²
y = -2(-2)²
y = -2 × 4
y = -8
At x = -1, the value of point y is as follows:
y = -2x²
y = -2(-1)²
y = -2 × 1
y = -2
At x = 0, the value of point y is as follows:
y = -2x²
y = -2(0)²
y = -2 × 0
y = 0
At x = 1, the value of point y is as follows:
y = -2x²
y = -2(1)²
y = -2 × 1
y = -2
At x = 2, the value of point y is as follows:
y = -2x²
y = -2(2)²
y = -2 × 4
y = -8
In conclusion, we can logically deduce that the graph of this quadratic equation forms a downward parabola.
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Which of the following functions has a graph that is a
line
f(x) = Ixl
f(x) = x
f(x)=x²
Answers
With the help of equations we can say that function has a f(x) = x,straight line.
What is an equation?
A mathematical equation is a formula that uses the equals symbol (=) to connect two expressions and express their equality.A well-formed formula consisting of two expressions linked by an equals sign is considered to be an equation in English, but the word's cognates in other languages may have slightly different definitions.For instance, an équation is defined as having one or more variables in French.Finding the variables' values that cause the equality to be true is the first step in solving an equation with variables.The variables for which the equation must be solved are also known as the unknowns, and the unknowns' values that fulfill the equality are known as the equation's solutions. Equations can be categorized as either identities or conditional equations.acc to our question-
f(x) = Ixl
f(x) = x
f(x)=x²
Hence, function f(x) = x is a line.
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What is the ordered pair for the reflection of the point (2,-1) over the x~axis
Answers
Answer:
(2,1)
Step-by-step explanation:
The x-value stays the same since we are only moving up/down and the y-value becomes the opposite
(x,y)--> (x,-y)
So the point becomes (2,1)
Answer:
(2,-1) hope this helps you understand
Suppose that 12 inches of wire costs 36 cents. At the same rate, how many inches of wire can be bought for 21 cents?
Answers
The amount of wire that can be bought from 21 cents is 7 inches.
It is given in the question that 12 inches of wire costs 36 cents.
We have to find the amount of wire that can be bought from 21 cents.
We will use the unitary method to solve this question.
Amount of wire that can be bought from 1 cent = 12/36 = 1/3 inches
Hence, according to the data given in the question, we can write,
The amount of wire that can be bought from 21 cents = (1/3)*21 = 7 inches.
Unitary method
The unitary method is a mathematical problem-solving technique where the value of a single unit is found out from the value of multiple units prior to finding the necessary result.
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A window in the room has an actual width of 2. 5 feet. What is the width of the window in the blueprint? (same scale 3 in:5 ft)
Answers
The window width in the blueprint is 1.5 in.
Define the meaning of the term scale factor?A scale factor is a designation for figures with similar appearances but differing scales or measures.Assume two circles appear identical but have different radii. The scale factor specifies how much larger or smaller a figure is compared to the original figure.As per the given question-
A window in the room measures 2. 5 feet in width.
The given scale is-
Blue print (inches) : original (feet)
3 in : 5 ft
Divide both side by 2
1.5 in : 2.5 ft
Window's width in Blue print (inches) = 1.5 in.
As a result, the window width in the blueprint is 1.5 in.
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A 850 kg car is moving with a speed of 10 m/s. Which of the following would cause the largest change in momentum?
a. Double the velocity and mass
b. Double the velocity and cut the mass in half
c. Keep the velocity the same and triple the mass
d. Cut the mass and velocity in half
Answers
The largest change in momentum will happen when the velocity and mass of the object are doubled( option A)
What is momentum?The momentum of a body is the product of the mass of the body and it's velocity. Momentum is measured in kg/ms^-1. It is a vector quantity. it is represented by p
Momentum of a body is expressed as p= m× v
where m is the mass of the body and v is it's velocity. This means that the higher the mass and velocity of the body the higher it's momentum.
The initial momentum of the body of mass 850kg and velocity 10ms^-1 = 850kgms^-1
When the velocity and mass are doubled , then the new momentum will be 1700× 20= 34000kgms^-1
Therefore the largest change in momentum will be obtained when both mass and velocity are doubled.
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23% of $52 is $???? Answer needs a decimal
Answers
Answer:
$11.96
Step-by-step explanation:
Now we have to,
→ find 23 percent of $52.
Let's solve the problem,
→ 23% of $52
→ (52/100) × 23
→ 0.52 × 23
→ $11.96
Hence, answer is $11.96.
hree students are participating in a walkathon. The data for each student is shown.
Student A: The equation y = 13x represents the amount of money raised (y) for walking (x) miles.
Student B: $36 is raised after walking 3 miles.
Student C:
Miles Walked 4 5
Money Raised $52 $65
Determine which student raised the least amount of money after walking 7 miles.
Student A
Student B
Student C
All three students raised the same amount of money after walking 7 miles.
Answers
Student B has raised the least amount of money after walking for 7 miles.
What is unit rate?A unit rate means a rate for one of something.
Given that, three students are participating in a walkathon,
Student A's money is represented by the equation y = 13x, where y is money raised for walking x miles.
Student B raised $36 money for 3 miles and Student C has raised $52 and $65 money for 4 and 5 miles respectively.
Money raised by each of them for a mile =
Student A = $13
Student B = $12
Student C = $13
Money raised by them by walking 7 miles =
Student A = $13*7 = $91
Student B = $12*7 = $84
Student C = $13*7 = $91
Hence, Student B has raised the least amount of money after walking for 7 miles.
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plssss help me . i’ll give brainliest .
Answers
Step by step
Your equation is y=mx + b
First we look at the graph and see the line crosses the y axis at -7, that is the y intercept or “b” in your equation.
Next we can find slope by drawing rise and run from one point to another like I did on the graph, down -2 and right +4 giving us -2/4 simplified to -1/2.
We know the slope is negative because the line goes down from left to right.
So
y = -1/2x -7
Bill wants to save for his son’s college expenses. He knows what tuition will cost in 18 years and knows the interest rate on the bank account. What he doesn’t know is how much to deposit each month to save enough for his son’s college expenses. Which Excel formula would you use?
Answers
The Excel formula that Bill would use is PMT.
How to illustrate the information?From Bill's situation, he has the following information:
time = NPER = number of periods = 18 years
RATE of the bank
FV = future value = cost of tuition
PMT, is a financial function, computes the loan payment based on constant payments and a constant interest rate. The Excel PMT function is a financial function that computes loan payments based on a fixed interest rate, the number of periods, and the loan amount. The function's name is derived from the acronym "PMT," which stands for "payment."
In conclusion, the correct option is PMT.
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Complete question
Bill wants to save for his son’s college expenses. He knows what tuition will cost in 18 years and knows the interest rate on the bank account. What he doesn’t know is how much to deposit each month to save enough for his son’s college expenses. Which Excel formula would you use? Choose from FV, PV, PMT, NPER, or RATE.
Are the slopes 0/3 and 9/0 perpendicular? Explain
Answers
The slopes 0/3 and 9/0 are not perpendicular .
In the question ,
the two slopes are given ,
the value of slope 1 (m₁) = 0/3
the value of slope2 (m₂) = 9/0 .
We know that the two slopes m₁ and m₂ are perpendicular is
m₁ × m₂ = -1 .
So , for the given values ,
On substituting the values of m₁ and m₂ ,
we get ,
= (0/3) × (9/0) ≠ -1
Since the product of the two given slope is not equal to -1 .
the slopes are not perpendicular .
Therefore , The slopes 0/3 and 9/0 are not perpendicular .
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john wanted a pressure washer for a flat fee of $50 plus $9 per hour how many hours did he rent the pressure washer if the total bill was $86?
Answers
He rented the pressure washer for 4 hours, given that the total bill was $86.
An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An equation is the equality of expressions.
Let x = total number of hours he rented the pressure washer
The total bill, which was $86, includes the flat fee of $50 plus $9 per hour of use.
Hence, the equation will be 50 + 9x = 86.
Solve for x.
50 + 9x = 86
9x = 86 - 50
9x = 36
x = 4
total number of hours he rented the pressure washer = 4
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choose the correct order
Answers
Answer:
6CO2 + 6H2O → C6H12O6 + 6O2.
Step-by-step explanation:
That's the equation for photosynthesis. let me know if you have any questions.
What is the equation of the line in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
y = [tex]\frac{1}{5}[/tex] x - 5
Step-by-step explanation:
y = mx +b You have to find the slope and the y intercept
slope:
I used the two points on the graph (0,-5) and (5,-4) The slope is the change in y over the change in x. An ordered pair is given in the form (x,y)
[tex]\frac{- 4 - - 5}{5-0}[/tex] = [tex]\frac{-4 + 5}5}[/tex] = [tex]\frac{1}{5}[/tex]
or you could just look at the two points. If you start at (0,-5) and go straight up one and the then go right 5 spaces, you will be at the point (5,-4) [tex]\frac{1}{5}[/tex]
The y intercept for the b is where the line crosses the x axis. It crosses at the point (0,-5) The -5 is the b part.
Cant get the right answer
Answers
The expression equates to R = 926.19
What is a equation?
An equation is a relation equating two mathematical expressions. For example -
2x + 4 = 5x + 7
We have -
R = 21000([0.052/4]/[1+0.052/4]²⁰ - 1]
We have the following equation -
R = 21000([0.052/4]/[1+0.052/4]²⁰ - 1]
R = 21000([0.013/(1.013)²⁰ - 1)
R = 21000([0.013/(1.29475890663 - 1)]
R = 21000(0.0441038411650727)
R = 926.1806644665257
R = 926.19
Therefore, the expression equates to R = 926.19
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Andy needs to solve
3/5
A. No, because and are not equivalent.
3
OD. Yes, because
3. In order to do this, he multiplies. Will Andy's method work?
OB. Yes, because dividing by a fraction is the same as multiplying by the reciprocal of the fraction.
OC. No, because one strategy involves division and the other involves multiplication.
3/6
and are equivalent
Answers
if you conduct a hypothesis test (for example, a z test), and find a p-value of .30, what is the meaning of the p-value?
Answers
The value for p is 30.
Hypothesis.Though there is not so much information, but the fact that $700 is an average. We can work with two hypothesis at first, he first Hypothesis before the downturn the rent are over $700. And the second one, the bedroom rent are under $700.Graphically, the shaded area before the downturn, represents the set of values for Rents greater than $700. So, rent (y) > 700) Graphically, the shaded area after the downturn, represents the set of values for Rents lesser than $700. So, rent 700 <y<0A hypothesis is an educated prediction regarding the solution to a scientific question that is supported by sound reasoning. It is the expected result of the experiment, however it is not proof in an experiment.Depending on the information received, it might be supported or might not be supported at all.learn more about hypothesis click here:
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386666666667/100000000000 simplest fraction
Answers
Answer: ___________________________________________
58/15
Graph the function f(x) = -5(x - 8)² - 2.
Plot the vertex. Then plot another point on the parabola. If you make a mistake, you can
erase your parabola by selecting the second point and placing it on top of the first.
Answers
The vertex is at (8, -2).The point (10, -22) is also on the parabola.
Step-by-step explanation:
Here is the graph of the function:
The vertex is at (8, -2).
To plot another point on the parabola, we can choose any x-value and plug it into the equation to solve for y.
For example, if we choose x = 10, then we have:
f(x) = -5(x - 8)² - 2
f(10) = -5(10 - 8)² - 2
f(10) = -5(2)² - 2
f(10) = -5(4) - 2
f(10) = -20 - 2
f(10) = -22
So, the point (10, -22) is also on the parabola.
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Tank B is 60% full of water. It requires an additional 2800 litres of water to be full. How many litres of water fills tank B?
Answers
I need help like asap !!!
only numbers and decimal points
Answers
Answer: 30 in.
Step-by-step explanation:
So when you look at the right triangle closely, you can see that the c is the same length as the 30 in. That's why I think it is 30 in. (May be wrong)
