The required values are for the given angle, as follows: a. sin α is positive. b. sin(π + α) = -sin α. c. cos(2π - α) = cos α.
What is the quadrant?A quadrant is defined as an area contained by the x and y axes, which there are four quadrants in a graph.
a. For an angle α in the first quadrant, sin α is positive.
Since the first quadrant is between 0 and 90 degrees, sin α is equal to the opposite side divided by the hypotenuse, where the opposite side is the y-coordinate and the hypotenuse is the distance from the origin to the point on the unit circle corresponding to the angle α.
b. sin(π + α) = sin (π - α). In the second quadrant (90 < α < 180), sine is negative, so sin(π + α) = -sin α.
c. cos(2π - α) = cos α. The cosine function has period 2π, so cos(2π - α) = cos α.
Since the first quadrant is between 0 and 90 degrees, cos α is positive.
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A linear programming problem consists of a linear ____ to be to be maximized or minimized. It is subject to a set of constraints given in the form of linear equations or inequalities.
A linear programming problem consists of a linear function to be to be maximized or minimized. It is subject to a set of constraints given in the form of linear equations or inequalities.
Linear programming is the programming in which selecting the best possible choice from those available alternatives whose constraint function and the objective function can be referred to as the linear mathematical function.
Linear programming is used for the optimization of linear objective.
It is used as constrained optimization, from where the objective functions and constraints all are linear.
If a maximization linear programming problem consists of all less-than-or-equal-to constraints with all positive coefficients and the objective function consists of all positive objective function coefficients, then rounding down the linear programming optimal solution values of the decision variables
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question content area top part 1 describe the three methods used to represent a set. give an example of a set represented by each method.
The three methods which are used to represent a set are word description, roster method and set-builder notation.
What is a set?
The way that sets are represented by a person is always the same which is as a group of clearly defined objects or elements. A capital letter designates a set. The cardinal number of a set is the number of elements in the finite set.
The three methods used to represent a set are as follows;
1. Word description
It is the method of representing a set under which we simply use words for describing the elements of the given set.
For example: A is the set of all natural numbers less than 8.
2. Roster method
It is the method of representing a set under which the elements of the set are listed by separating them with commas and in curly brackets.
For example: A = {1,2,3,4,5,6,7}
3. Set-builder notation
It is the method of representing a set under which only the property of the elements of the given set are written.
For example: A = {x ,x ∈ N and x<8}
Hence, the above stated methods are used to represent a set.
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HELPPPPPPPPPPPPPPPPPPPPPPP
Answer:
12π m²
Step-by-step explanation:
We are interested in calculating the area bounded by the given arcs .
we know that if [tex]\theta[/tex] is the angle subtended at the centre by the arc , then ; the area is given by ,
[tex]\longrightarrow Area =\dfrac{\theta}{360^o}\times \pi r^2 \\[/tex]
here we have ,
[tex]\theta = 120^o[/tex][tex] r = 6m [/tex]Therefore on substituting the respective values, we have;
[tex]\longrightarrow Area =\dfrac{120^o}{360^o}\times \pi (6m)^2 \\[/tex]
Simplify,
[tex]\longrightarrow Area =\dfrac{1}{3}\times \pi \times 36m^2 \\[/tex]
[tex]\longrightarrow \underline{\underline{ Area = 12\pi \ m^2}} \\[/tex]
And we are done!
Answer: The result is 12π m²
Step-by-step explanation:To solve, we must find the Area of the circle, for this we must do the following:
[tex] \: \sf{Area} = \cfrac{ \sf{θ} }{360 {}^{ \circ} } * \sf{\pi r {}^{2} }[/tex]
Once having the above, we must extract the results that we have to put in the fraction, where:
[tex] \theta = 120 {}^{ \circ} [/tex][tex]\sf{r = 6m}[/tex]Once we have the above, we must substitute the respective values...
[tex] \sf Area = \cfrac{120 {}^{ \circ} }{360 {}^{ \circ} } * \pi(6m) {}^{2} [/tex]
Now to finish, let's simplify:
[tex] \sf{Area = \cfrac{1}{3}* \pi * 36m {}^{2} }[/tex]
[tex] \sf Area = 12 \pi \: m {}^{2} [/tex]
Rpt: The result is 12π m²
The functions f and g are such that
f(x) = 6x+7 /2
g(x) = 3x - 5
Find the value of x that makes f^-1 g ^-1 (x) = 0.
Give your answer as an integer or as a decimal.
Using the inverse function method, the value of x should be x = 7/2 or x = -5
From the case, we know that:
f(x) = (6x + 7) / 2
g(x) = 3x - 5
f⁻¹.g⁻¹(x) ?
First, we need to find the inverse function of each given functions. We assume that:
f⁻¹(x) = p
g⁻¹(x) = q
f⁻¹(x) = (6x + 7) / 2
p = (6x + 7) / 2
2p = 6x + 7
2p - 7 = 6x
x = (2p - 7) / 6
f⁻¹(x) = (2x - 7) / 6
g⁻¹(x) = 3x - 5
q = 3x - 5
q + 5 = 3x
x = (q + 5) / 3
g⁻¹(x) = (x + 5) / 3
Next, we will try to find the value of x
f⁻¹.g⁻¹(x) = 0
(2x - 7) . (x + 5) = 0
6 3
(2x² - 7x + 10x - 35) = 0
15
2x² +3x - 35 = 0
(2x -7) (x+5) = 0
x = 7/2 ∨ x = -5
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Writing and solving radical equations: Mastery Test
PLEASE HELP
The equation has 2 valid solutions; no extraneous solutions.
What are functions?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
What is factorization and radicals?Factorisation : The process of breaking or decomposing an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorisation or factoring.
Radicals :In the same way that addition is the opposite of subtraction in mathematics, a radical, also known as a root, is the opposite of an exponent. The square root, denoted by the symbol is the smallest radical.
The given equation is:
First, we determine the solutions
Add 5 to both sides
Square both sides
Expand
Collect like terms
Expand again
Factorize
Factor out x - 2
Split
The above values are valid values of x.
Hence, the equation has 2 valid solutions; no extraneous solutions
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Question 15
Divide £65 in the ratio 11:2
Questic
Divide
Answer:
55 and 10
I hope this helps
the data set shows the number of passengers on the flights leaving the columbus airport in the next hour. what is the median number of passengers on the flights? round answer to tenths place. if answer is a whole number then put a zero in your answer for the tenths place for it to be counted correct 39, 48. 25, 25, 53, 22, 70, 36
After rounding off the median of the given data would be 38.
What is the median?The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory.
It could be referred to as "the middle" value for a data set.
The fundamental difference between the mean and the median when describing data is that the median is more representative of the "normal" value because it is not skewed by a tiny fraction of exceptionally big or small values.
So, calculate as follows:
22, 25, 25, 36, 39, 48, 53, 70
TErms are even: Average of two middle terms to get median.
Median = 36 + 39/2
Median = 37.5
Rounding off: 38
Therefore, after rounding off the median of the given data would be 38.
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When the function f(x) is divided by 2x + 3, the quotient is 2x² + 7x - 8 and the
remainder is-7. Find the function f(x) and write the result in standard form.
The function f(x) is 4x³ + 20x² + 5x - 31.
What is a function?
A function in mathematics from a set X to a set Y allocates precisely one element of Y to each part of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.
Here, we have
Given: function f(x) is divided by 2x + 3, the quotient is 2x² + 7x - 8 and the remainder is -7.
When a polynomial f(x) is divided by any another polynomial d(x) and there is q(x) and r then it can be written as:
f(x) = d(x)q(x) + r
Now putting values of d(x) = 2x+3, q(x) = 2x² + 7x - 8 and r = -7, we get
f(x) = (2x+3)(2x² + 7x - 8) - 7
f(x) = 4x³ + 14x² - 16x + 6x² + 21x - 24 - 7
f(x) = 4x³ + 20x² + 5x - 31
Hence, the function f(x) is 4x³ + 20x² + 5x - 31.
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HELP ASAP it is TIMED
Answer:24
Step-by-step explanation:
Which of the following represents all solutions (x,y) to the system of equations created by the linear equation and the quadratic equation y=x^2+9
All solutions to the system of equations created by the linear equation and the quadratic equation y=x^2+9 are (3,18), (-3,-18), (0,9), (-2,13), and (2,13).
To find all solutions to the system of equations created by the linear equation and the quadratic equation y=x^2+9, we need to solve for the intersection of the linear equation and the quadratic equation. The quadratic equation can be rewritten in the form of y=a(x-h)^2+k, where a, h, and k are constants. This equation can be set equal to the linear equation and solved using the quadratic formula. The solutions of this equation are the x-values that correspond to the intersection of the linear equation and the quadratic equation. To find the y-values, we need to substitute the x-values found in the quadratic equation. Therefore, all solutions to the system of equations created by the linear equation and the quadratic equation y=x^2+9 are (3,18), (-3,-18), (0,9), (-2,13), and (2,13).
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Y=1+sinx/1-sinx find the derivative of this problem
The derivative of the problem is dy/dx = (2cosx)/(1-sinx)²
How to find the derivative of the function?The given function is Y=1+sinx/1-sinx
d/dx (u/v) = [u (dy/dx) - v (dv/dx) ] / v²or less formerly
(u/v) =[ [(v (du) = u(dv)] / v²
(Remember the rule in word; " vdu minus udv all over v squared)
So with Y=1+sinx/1-sinx then,
Let u = 1+sin x ⇒du/dx= cos x and
v = 1-sin x⇒dv/dx = -cos x
Then, [d/dx(u/v) = u(dy/dx) - u(dv/dx)] / v²
dy/dx = [(1-sinx)(cosx) - (1+sinx)(-cosx)] / (1-xin x)²
This implies that dy/dx =[ cosx - sin x +cosx +sin xcosx] / (1-sinx)²
Therefore, dy/dx = (2cos x)/(1-sinx)²
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Armando's workouts consist of kickboxing and swimming. While kickboxing, he burns 10 calories per minute and he burns 9 calories a minute while swimming. He wants to burn at least 450 calories each day.
a) If
x
is the number of minutes that Armando will kickbox and
y
is the number of minutes he will swim, write an inequality that would help Armando create a workout for today.
The inequality that models this scenario is given as 10x + 9y ≥ 450
What is an equation?An equation is an expression showing the relationship between numbers and variables.
Let x represent the number of minutes that Armando will kickbox and y represent the number of minutes he will swim.
Kickboxing, he burns 10 calories per minute and he burns 9 calories a minute while swimming. He wants to burn at least 450 calories each day, hence:
10x + 9y ≥ 450
The inequality is given as 10x + 9y ≥ 450
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Write the equation of the line that passes through the points (-3, 3) and (1, 2).
The equation of a line passing through the points (-3, 3) and (1, 2) is x + 4y = 9
What is line passing through the points?When two points in a plane are given, a line passing through them can be determined. It is the set of all points in the plane that are equidistant from the two given points.
These points form a straight line, which can be represented by an equation with two variables.
The equation of the line can be found using the slope-intercept form or by solving a system of two equations.
The slope of the line is the ratio of the change in the y-coordinate of the two points over the change in the x-coordinate of the two points.
The y-intercept is the point where the line crosses the y-axis. The line can also be expressed in terms of its intercepts on the x and y-axes.
The x-intercept is the point where the line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.
We know that the equation of a line passing through the points (x1, y1) and (x2 , y2) is given by y - y1 = m (x - x1).
m is the slope given by the formula m = (y2 - y1) / (x2 - x1)
Hence on substituting the given points in the equation of a line, we get
y - 3 = m ( x - (-3) ) -------(1)
m = (y2 - y1) / (x2 - x1)
m = (2 - 3) / (1+3)
m = -1/4
Substituting value of m in equation (1), we get
y - 3 = -1/4 ( x + 3)
4(y - 3) = -x - 3
4y - 12 = -x - 3
x + 4y = -3 +12
x + 4y = 9
Therefore, the equation of a line passing through the points (-3, 3) and (1, 2) is x + 4y = 9
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Plsss help and be legit I need help with this
On solving the provided question, we can say that the inequality we have ( -3, 2 ) => 2x - y>-8
What is inequality?An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.
here the inequality
we have ( -3, 2 )
y - 2 > 2(x+3)
y-2 > 2x +6
2x - y>-8
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Liam has quarters, dimes, and nickels in his pocket. Liam says he has twice as many quarters as dimes and 3 more dimes than nickels. Liam also says he has the same amount of money in dimes as he has in quarters.
How many of each coin does Liam have in his pocket?
Liam has 5 quarters, 10 dimes and and 7 nickels.
What is quarter and dime?1 dollar is 100 cents - a full dollar, so 100 cents.
One dollar is written on one side of the coin, sometimes as "$1".
1 quarter dollar equals 25 cents - 1/4 of a dollar equals 25%, so 25 cents
On one side of the coin, a quarter dollar is written.
1 dime is 10 cents - 1/10th of a dollar, so 10%, so 10 cents, dime begins with d, decimal begins with, and decimal is base-10. One dime is written on one side of the coin.
1 nickel is 5 cents - made of nickel alloy, 1 cent/penny is possibly not made of nickel because it costs more than 1 cent, so it begins with 5 cents.
On one side of the coin, five cents are written.
Let d be the no. of dimes, n be the no. of nickels and q be the no. of quarters.
Given that
2q = d
n + 3 = d
money in dimes = money in quarters
10d = 25q
d can be written as
d = q/2
So
10(2q) = 25q
2q/q = 25/10
q = 2.5
as 2.5 cant be a number for quarter, lets double it
q = 5
d = 2q
d = 2(5)
d = 10
n = d - 3
n = 10 - 3
n = 7
Thus, Liam has 5 quarters, 10 dimes and and 7 nickels.
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Each cement block is 9 centimeters thick and each clay block is 5 centimeters thick. Xavier made a stack of 17 blocks that was 113 centimeters thick. How many of each type of block did Xavier use?
Using a system of equations, the number of each type of block Xavier used is as follows:
7 cement blocks10 clay blocks.What is a system of equations?A system of equations is two or more equations solved simultaneously or concurrently.
A system of equations is also described as simultaneous equations.
Let a represent the number of cement blocks and b the number of clay blocks.
9a + 5b = 113 ... Equation 1
a + b = 17 ... Equation 2
Multiply Equation 2 by 9:
9a + 9b = 153 ... Equation 3
Subtract Equation 1 from Equation 3:
9a + 9b = 153
-
9a + 5b = 113
4b = 40
b = 10
In Equation 2, substitute b = 10:
a + b = 17
a + 10 = 17
a = 7
Thus, Xavier used 7 cement blocks and 10 clay blocks to make the stack of 17 blocks that was 113 centimeters thick.
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Ronnie loaned her older brother $1500 and he offered to pay her 4% interest in three years. How much money will Ronnie have in three years when her brother pays her back
Answer: 1560
Step-by-step explanation:1500*1.04=1560
can someone pleaseeeee help me???????
Answer:
Hello the vertex point is (4, -6)
this parabola opens upwards because the coefficient of x is positive.
The answer is B, good luck!
Determine the vertex and the zeros of the function: y = (x – 1)2 – 25. Question 1 options: A) Vertex: (–1,25); zeros: (–6,0), (4,0) B) Vertex: (–1,25); zeros: (6,0), (–4,0) C) Vertex: (1,–25); zeros: (6,0), (–4,0) D) Vertex: (1,–25); zeros: (–6,0), (4,0)
The vertex for the given function is (1, -25) and the zeros are (6, 0)(-4, 0).
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the greatest degree term in a quadratic function is of the second degree.
Given y = (x - 1)² - 25
converting the equation in form of y = ax² + bx + c
y = x² + 1 - 2x - 25
y = x² - 2x - 24
vertex of a quadratic equation is given by (-b/2a, -D/4a)
b = -2, a = 1, c = -24
D = b² - 4ac
D = (-2)² - 4(-24)
D = 4 + 96
D = 100
vertex is, -b/2a = -(-2)/2 = 1
and -D/4a = -100/4 = -25
vertex are (1, -25)
and for zeros put y = 0
y = x² - 2x - 24
x² - 2x - 24 = 0
x² - 6x + 4x - 24 = 0
x(x - 6) + 4(x - 6) = 0
(x - 6)(x + 4) = 0
x = 6 and x = -4
zeros are (6, 0)(-4, 0)
Hence option C is correct.
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True or False: Scale factors figures must be the same proportions on all sides from the original figure.
The statement is true, the scale factor maintains the proportions between the sides.
Is the statement true or false?We want to see if the statement "Scale factors figures must be the same proportions on all sides from the original figure." is true or false.
Suppose we have a polygon with N sides, such that the lengths of each side are:
{L₁, L₂, L₃,...}
If we apply a scale factor k, we just need to multiply each one of these lengths by k, then we will get:
{k*L₁, k*L₂, k*L₃,...}
Now, let's take the proportion between the new lengths for sides 1 and 2, we will get:
(k*L₁)/(k*L₂) = L₁/L₂
The scale factor disappears, then the proportions are maintained,
The statement is true.
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i dropped a heavy cube the other day, creating a dent in my floor. the triangular hole in the surface of the floor has sides of lengths $68,$ $75,$ and $77.$ find the depth of the hole.
I recently dropped a large cube, leaving a dent in my floor. The floor's surface contains a triangular hole with sides that are $68, $75, and $77 long. The hole is about this deep: [tex]$d=12 \sqrt{6}[/tex]
What is meant by triangular?Three sides, three angles, and three vertices make up the closed, two-dimensional shape of a triangle. Polygons include triangles. Triangle ABC is seen in the above figure. Triangle examples. Sandwiches, traffic signals, clothing hangers, and a billiards rack are a few instances of triangles in everyday life.
To start, you can determine the sides of the tetrahedron whose apex corresponds to the dent's deepest point. Three of its sides are previously known to be $68,75,77, and since we have perpendicular planes, if these side lengths are x, y, and z, then
[tex]$x^2+y^2=68^2, x^2+z^2=75^2, y^2+z^2=77^2$[/tex] and these three equations solve to
[tex]$x=12 \sqrt{15}, y=4 \sqrt{154}, z=3 \sqrt{385}[/tex]
When the origin of a coordinate frame is located at the point where three perpendicular planes cross and the axes are placed along the edges, the equation for the plane of the triangle hole is
[tex]$\frac{x}{12 \sqrt{15}}+\frac{y}{4 \sqrt{154}}+\frac{z}{3 \sqrt{385}}=1[/tex]
As a result, the distance from the origin, which is the hole's deepest point, to its plane is
[tex]$d=\frac{1}{\sqrt{\frac{1}{144(15)}+\frac{1}{16(154)}+\frac{1}{9(385)}}}[/tex]
Then we get,
[tex]$d=12 \sqrt{6}[/tex]
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factorise the following:
11a - 11a^
i think ^ is squared
The factorization of the provided question is basically -11a(a-1).
What exactly is factorization?The process of breaking or decomposing an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring. You will mostly learn this idea in your lower secondary classes from grades 6 to 8.
A polynomial is an expression made up of variables and coefficients that involves only the operations of addition, subtraction, multiplication, and non-negative exponents. Polynomials are commonly used in algebra and in various mathematical disciplines.
Given,
11a-11a²
Taking common terms
-11a(a-1).
by factorizing 11a-11a²
we get -11a(a-1).
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The depth D in inches, of snow in my yard t hours after it started snowing this morning is given by D=1.5t+4 If the depth of the snow is 7 inches now, what will be the depth one hour from now?
If the depth of the snow is 7 inches now, the depth one hour from now is equal to 8.5 Inches.
How to determine the depth one hour from now?Based on the information provided above, a function which models the depth (D) in inches, of snow in a yard time (t) hours after it started snowing this morning is given by:
D = 1.5t + 4
where:
D represents the depth measured in inches.t represents the time measured in hours.When the depth (D) in inches is equal to 7 inches now, the time measured in hours would be given by:
D = 1.5t + 4
7 = 1.5t + 4
1.5t = 7 - 4
1.5t = 3
Time, t = 3/1.5
Time, t = 2 hours.
One hour from now, the time measured in hours would be given by:
Time, t = 1 hour + 2 hours
Time, t = 3 hours.
At time, t = 3 hours, the depth can be calculated as follows;
Depth, D = 1.5t + 4
Depth, D = 1.5(3) + 4
Depth, D = 8.5 Inches.
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a student eats a dinner containing
[tex]8.0 \times 10 { }^{6} [/tex]
joules of energy. he wishes to do an equivalent amount of work in a nearby gym by lifting a 60kg object. how many times must he raise the object to expand this much energy? assume he raises it a distance of 2.0m each time
The number of times a student must raise the object to expand the given energy level is 6800 times.
What is work and energy?Work is defined as transferring energy into an object so that there is some displacement. Energy is defined as the ability to do work. Work done is always the same. Energy can be of different types such as kinetic and potential energy.
Here, W=8.0×10⁶, m=60 kg, g=9.8 ms⁻² and h=2.0 m
We know that, W=mghn
Now, n=W/mgh
n=8.0×10⁶/(60×9.8×2)
= 6800 times
Therefore, the number of times a student must raise the object to expand the given energy level is 6800 times.
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One factor of the function f(x) = x^3 - 6x^2 + 11x - 6 is (x-3)
The quotient of the polynomial division is x^2 - 3x + 2.
How to determine the quotient of the division?From the question, we have the following parameters that can be used in our computation:
f(x) = x^3 - 6x^2 + 11x - 6
Factor = (x-3)
One way to find the other factors of the function f(x) = x^3 - 6x^2 + 11x - 6 is to divide the polynomial by (x-3) and see what the quotient is.
To do this, we have
Quotient = f(x)/Factor
Substitute the known values in the above equation, so, we have the following representation
Quotient = (x^3 - 6x^2 + 11x - 6)/(x - 3)
Using a graphing calculator, we have
Quotient = x^2 - 3x + 2
Hence, the quotient is x^2 - 3x + 2
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Complete question
One factor of the function f(x) = x^3 - 6x^2 + 11x - 6 is (x-3)
Determine the quotient of the polynomial and the factor
A store sells a package of 25 trading cards for $5.25.
A jet travels 480 miles in 5 hours. At this rate, how far could the jet fly in 8 hours? What is the rate of speed of the jet?
Answer:
Step-by-step explanation:
480 miles/5 hours=x miles/8 hours
x=480*8/5
x=768 miles(distance)
480/5=96 mph(speed)
using the numbers 1-9, at most one time each, fill the blanks to make this equation true. find one solution for this equation.( ) = 81
The solution for this equation is (3¹)⁴=81.
The power of a number defines how many times to use the number in multiplication, Powers are also called Exponents or Indices.
If the power is positive, multiply the number by itself that many times. If the power is negative, multiply the number's reciprocal by itself that many times. If the power is zero, the result will always be 1.
For example, 8^2 could be called “8 to the power 2” “8 to the second power”, or simply “8 squared”.
A number, X, to the power of 2 is also referred to as X squared.
X is called the base number.
To know more about the Powers of a number:
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f (x) = log(x-1) +1
g(x) = log
What shifts occur for f(x)?
Answer:
f(x) shifts for log(DWX)
Step-by-step explanation:
A convex octagon has interior angles with measures (x + 55)°, (3x +20)°, 4x°, (4x 10)°, (6x - 55)°, (3x +52)°, 3xº, and (2x + 30)°. Find the value of x.
Answer:
x = 38°
Step-by-step explanation:
sum of interior angle
=(n - 2 )180
=(8 - 2)180
=(6)180
=1080°.
the value of x
=(x + 55)° + (3x + 20)° + 4x° + (4x - 10)° + (6x - 55)° + (3x + 52)° + 3x° + (2x + 30)° = 1080°
= x + 3x + 4x + 4x + 6x + 3x + 3x + 2x + 55 + 20 - 10 - =55 + 52 + 30 = 1080.
=26x + 92 = 1080
=26x = 1080 - 92
=26x = 988
=26x/26 = 988/26
x = 38°
