Answers
The value of the x in the given geometry figure is 108° .
When 2 lines ran into one another, then the other angles, shaped thanks to intersection are referred to as vertical angles or vertically opposite angles. A try of vertically opposite angles are invariably capable one another. Also, a angle and its adjacent angle are supplementary angles, i.e., they add up to one hundred eighty degrees.When 2 lines ran into, four angles are shaped. There are 2 pairs of distant angles. These pairs are referred to as vertical angles.Vertical angles are a try of non-adjacent angles shaped by the intersection of 2 straight lines. In straightforward words, vertical angles are set across from each other within the corners of the "X" shaped by 2 straight lines. they're conjointly referred to as vertically opposite angles as they're settled opposite to every alternative.The labelled diagram of the figure is given below.
From the figure , we can see that ∠OEA = ∠BOF as they are vertically opposite angles .
Hence ∠BOF = x
∠OFT and ∠BOF are linear pair , so on adding them , we will get sum 180°
∠OFT + ∠BOF = 180°
72° + x = 180°
x = 108°
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Answer:
x° = 22°
Step-by-step explanation:
You want the measure of the angle marked x° in the figure with two parallel lines and a "bent" transversal.
Remote interior anglesExtending the upward-sloping line in the figure as shown in the attachment results in a triangle against the top horizontal line.
The angle on the right side of that triangle corresponds to the one marked 50°, so has the same measure. It is one of two "remote interior angles" whose sum is the measure of the exterior angle marked 72°. The other "remote interior angle" making up that sum is the vertical angle to the one marked x°.
So, we have ...
x° +50° = 72°
x° = 22° . . . . . . . . subtract 50°
__
Additional comment
You can do a "sanity check" on this answer by considering some extreme cases. If the 72° angle is reduced to 50°, the top leg of the "72°" angle would be horizontal. That would effectively reduce x to 0. Similarly, if the 72° angle were made to be 180°, then the value of x would be supplementary to the 50° angle. In other words, x is the difference between the one marked 72° and 50°, or 22°.
Related Questions
Given the graph below, determine the correct translation rule.
a. (x, y) → (x - 5 , y + 1)
b. (x, y) → (x + 1, y - 5)
c. (x, y) → (x - 1, y + 5)
d.(x, y) → (x + 5, y - 1)
Answers
2) a) If the function f(x) = |x| is changed to g(x) = 3|x-1| +3,
how is the graph transformed? (left, right, up, down? By how much?)
b) On the blank graph, graph the function g(x) = 3 |x-1| +6
8
6
21
-10 -8 6-4-2 2468
-24
7
f
8
Answers
Step-by-step explanation:
a) right - 1 unit; up - 3 units; angle between branches is decreased. All the details are in the attachment;
b) the required graph is in the attachment.
An airplane descended 225 m in 10 s. What was the airplanes rate of change in elevation
Answers
The rate of change in elevation will be:
R = -225m/10s = -22.5 m/s
The airplaen descends at a rate of 22.5 meters per second.
What was the airplane's rate of change in elevation?The rate in change of the elevation will be given by the quotient between the change in elevation and the time in which that change happens.
Here we know that the airplane descended 225 meters, so the change in elevation is:
C = -225m
And that change happens in 10 seconds, so the rate of change in elevation will be:
R = -225m/10s = -22.5 m/s
The airplane descends at a rate of 22.5 meters per second.
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Simplify −3(5x + 1) + completely. 8 16(x − 9)
Answers
The expression is simplified to x - 147
What are algebraic expressions?Algebraic expressions are defined expressions made up of terms, factors, variables, constants , coefficients.
They are also made up of arithmetic operations such as addition, subtraction, multiplication, division, etc.
Given the expressions;
−3 (5x + 1) + 16(x − 9)
First, we have to expand the bracket
-15x -3 + 16x - 144
collect like terms, we have;
-15x + 16x - 144 - 3
Add or subtract like terms as seen in the expression
x - 147
Note that the expression is simplified to x - 147
Thus, the expression is simplified to x - 147
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Point W (-2,4) from square WXYZ is translated 4 units right. What are the coordinates for W’ ?
Answers
Answer:
W' (2, 4 )
Step-by-step explanation:
a translation of 4 units right means add 4 to the x- coordinate, that is
W (- 2, 4 ) → W' (- 2 + 4, 4 ) → W' (2, 4 )
cia
Mat
Scien
Simplify the expression 4a + b - 7+ b + a - 3.
7a + 2b - 4
5a + 2b - 4
5a + 2b - 10
за - 10
Answers
Answer:
the answer would be 5a+2b-10
im so confused on this (help ASAP)
Answers
Answer:
x = 4
Step-by-step explanation:
Perimeter of triangle: P = (5x -1) + (5x -1) + (2.2x + 10)
Perimeter of square: P = 4(6.5x - 11.8)
so (5x -1) + (5x -1) + (2.2x + 10) = 4(6.5x - 11.8)
5x - 1 + 5x - 1 + 2.2x + 10 = 26x - 47.2
12.2x + 8 = 26x - 47.2
26x - 12.2x = 8 + 47.2
13.8x = 55.2
x = 55.2/13.8 = 4
(5x-1)+(5x-1)+(2.2x+10) is equal to 4(6.5x-11.8) ***the four represents the four sides of the square***
first u have to simplify so add all the numbers with x and all the numbers without x
12.2x + 8 equals 26x - 47.2
now u have to move the x values on one side and the non values to the other
8+47.2 = 26x-12.2x
so u get
55.2 = 13.8x
now u divide by 13.8 on both sides so u get x
x = 4
Muscles Gym has a rack of hand weights. There are four hand weights that weigh 5 pounds each. What is the area of the side of the hand weight shown ?
Answers
Answer:
21 7/8 in^2
Step-by-step explanation:
explantation up top
1/3 x 3/5 = hgggbbbhbh
Answers
Answer:
14/15
Step-by-step explanation:
The Earth’s total land area is 57,308,738 square miles. The land area of North America is about 16.5% of this total. Estimate the land area of North America. Describe your strategy.
Answers
The land area of North America is 9,455,941.77 square miles.
What is the land area of North America?Percentage can be described as the fraction of an amount expressed as a number out of hundred. Percentage is a measure of frequency. The sign used to represent percentages is %.
In order to determine the land area of North America, multiply the total land area of the Earth by the percentage of the land area of North America.
Land area of North America = percentage of the land area of North America x total land area
16.5% x 57,308,738
0.165 x 57,308,738 = 9,455,941.77 square miles
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3^4 x 10^6
What is the answer ??
Answers
7. If U= {2, 4, 6, 8, 10, 12, 14, 16} and
A = {6, 10, 14}, what is A'?
Answers
The compliment of set A that is A' is equal to {2, 4, 8, 12, 16}.
We are given the universal set as:
U = {2, 4, 6, 8, 10, 12, 14, 16}
We are also given that set A is:
A = {6, 10, 14}
We need to find A'
For this, we will subtract set A from the universal set, U.
So, we get that:
A' = U - A
A' = {2, 4, 6, 8, 10, 12, 14, 16} - {6, 10, 14}
Solving the expression, we get that:
A' = {2, 4, 8, 12, 16}
Therefore, we get that, the compliment of set A that is A' is equal to {2, 4, 8, 12, 16}.
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Part 1: Use complete sentences to explain why solar flares occur.
Part 2: Give two examples in which solar flares impact Earth.
Answers
Some consequences of solar flares on Earth are: radio blackouts, intense auroras, damage to communication satellites, among others.
What is a solar flare?A solar flare is a term that refers to a sudden and intense release of electromagnetic radiation in the Sun's Chromosphere. In general, what happens in a solar flare is that the plasma is heated to tens of millions of degrees kelvin; this accelerates electrons, protons, which in turn produces electromagnetic radiation in all wavelengths of the electromagnetic spectrum.
How do solar flares impact the Earth?Strong solar flares can cause different manifestations on Earth such as:
By sending huge clouds of plasma into space that hit the Earth they can cause geomagnetic storms and intense auroras.Some larger waves can trigger radio blackouts.Some waves can cause power outages and damage communication satellites.Some waves can damage electronic equipment and the equipment of astronauts or passengers on high-flying aircraft.Learn more about solar flares in: https://brainly.com/question/2886237
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Points A, B, C and D are collinear. Point B is between A and C. Point C is between B and D. Suppose BC = 14 + x, AD = 42 + x, and AC = x + 32. Find x =, AB =, BC =, CD =, AC =, AD=
Answers
A possible solution for this case of collinear points is (x, AB, BC, CD, AC, AD) = (0, 18, 14, 10, 32, 42).
What are the lengths of collinear line segments?
In this question we have four points that are collinear, that is, that lie on the same line. Mathematically, speaking we have the following equations representing the geometric system:
BC = 14 + x (1)
AD = 42 + x (2)
AC = x + 32 (3)
By (1) and (3):
AB = (x + 32) - (14 + x)
AB = 18
By (2) and (3):
CD = (42 + x) - (x + 32)
CD = 10
If x = 0, then BC, AD and AC are, respectively:
BC = 14, AD = 42, AC = 32
Then, a possible solution for this case of collinear points is (x, AB, BC, CD, AC, AD) = (0, 18, 14, 10, 32, 42).
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Calculate the finance charge for a credit card that has given the average daily balance and interest rate. (Round your answer to the nearest cent.) average daily balance: $118.18, monthly interest rate: 1.15%
Answers
The finance charge for a credit card that has given the average daily balance and interest rate is 11.170$.
What is finance charge?The finance charge is the cost of credit in dollars. It is calculated on a credit card's unpaid balance. A finance charge, the cost of having the debt a longer time, is added to the outstanding credit card balance.
Given:
Average daily balance: $118.18,
monthly interest rate: 1.15%
According to given question we have
A common way of calculating a finance charge on a credit card is to multiply the average daily balance by the annual percentage rate (APR) and the days in your billing cycle. The product is then divided by 365 .
i.e
[tex]\frac{118.18*1.15*30}{365} \\=11.170[/tex]
Therefore, the finance charge for a credit card that has given the average daily balance and interest rate is 11.170$.
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Solve for h.
V=1/3bh
Answers
Answer:
h = 3V /b
Step-by-step explanation:
V=1/3bh
Solve for h
Multiply each side by 3
3V = 3*1/3bh
3V = bh
Divide each side by b
3V/b = bh/b
3V /b = h
h = 3V /b
Answer:
[tex]3v = bh \\ bh = 3v \\ h = \frac{3v}{b} [/tex]
Find the equation of the plane that goes through three points:
A (0, 3, 4)
B (1, 2, 0)
C (-1, 6, 4)
I know there are good algorithms to do this problem with, and I've gotten 6x - 2y + z = -2 as my answer, which is correct to my knowledge.
HOWEVER...the teacher wants to go with a three-variable, three-equation system of equations with the format of z = m(x) + n(y) + c for each point.
That would mean the following equations:
4 = m(0) + n(3) + c
0 = m(1) + n(2) + c
4 = m(-1) + n(6) + c
I'm confused as to why anyone would want us to use a system.
How do I proceed from here to get the same answer as the algorithm got?
Answers
The equation of the plane that goes through these points is:
6x + 2y + z = 10.
How to find the equation of a plane given three points?The equation of the plane is found replacing the points into the following equation:
ax + by + c = z.
For point A, we have that:
3b + c = 4.
For point B, we have that:
a + 2b + c = 0.
For point C, we have that:
-a + 6b + c = 4.
Hence the system is:
3b + c = 4.a + 2b + c = 0.-a + 6b + c = 4.From the first equation, we have that:
c = 4 - 3b.
Replacing in the second, we have that:
a + 2b + 4 - 3b = 0
a - b = -4.
Replacing in the third, we have that:
-a + 6b + 4 - 3b = 4.
-a + 3b = 0.
a = 3b.
We have that a - b = -4, hence:
3b - b = -4
2b = -4
b = -2.
a = 3b, hence a = -6.
c = 4 - 3b -> c = 10.
Hence the equation is:
ax + by + c = z.
z = -6x - 2y + 10
6x + 2y + z = 10.
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8/5 minus 1/6 please help me lol
Answers
Exact Form: 43/50
Decimal Form: 1.43
Mixed Number Form: 1 13/50
Hope this helps.
Evaluate the expression when a = 3 and c = -4.
-a+7c
Answers
Answer: -31
Step-by-step explanation:
a = 3 and c = -4.
-a+7c = -3+(7*-4) = -31
Answer:
- 3 + 7(- 4)
- 3 + - 28
= - 31
Hope this helps :)
it takes 4 cans of paint to paint 1/3 of a room. How many cans of paint do I need to paint 1 room? Solve using a strip diagram
Answers
The number of cans of paint which it would take to paint one given the premise that; it takes 4 cans of paint to paint 1/3 of a room is; 12 cans of paint.
What is the number of cans that would be required to paint one room given the premise as in the task content?It follows from the task content that the number of cans of paint that would be required to paint one room according to the task content be determined.
Hence, since it takes 4 cans of paint to paint 1/3 of a room.
Hence, since there are 3 One-thirds in a whole, it follows from proportion that the number of cans of paints required is;
= 3 × 4 cans of paint
= 12 cans of paint.
The number of cans of paint which it would take to paint one given the premise that; it takes 4 cans of paint to paint 1/3 of a room is; 12 cans of paint.
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Find the equation of the containing the points (3,0) that is perpendicular to the line y=-3/4x+1
Answers
The equation containing the point (9,12) is y = 4/3x.
What are equations?An equation is a mathematical expression that includes the equals sign. Algebra is frequently used in equations. When you don't know the exact number in a calculation, you use algebra. Many professionals, including air traffic controllers, architects, computer programmers, and carpenters, use equations on a daily basis.So, perpendicular = m1 × m2 = -1:
Now,
- 3/4 × 4/3 = -1y = 4/3x + b10 = 1/3(9) + b12 = 12 + bb = 0y = 4/3x + 0y = 4/3xTherefore, the equation containing the point (9,12) is y = 4/3x.
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The correct question is given below:
Find the equation of the line that is perpendicular to y = -3/4x+1 and contains the point (9,12).
write the answer from top to bottom
Answers
Answer:
b
Step-by-step explanation:
state 3 fractors other than $/ hours
How do you solve this?
Answers
The measures of the angles are:
m<7 = 47°
m<8 = 62°
m<1 = 62°
m<2 = 71° [vertical angles theorem]
m<5 = 109°
m<3 = 109°
m<4 = 35°
m<6 = 29°
What is the Alternate Interior Angles Theorem?The alternate interior angles theorem states that two interior angles that are formed along a transversal and lie alternate to each other on two parallel lines are congruent to each other.
Measure of angle 7 = 47° [based on the alternate interior angles theorem]
Measure of angle 8 = 180 - 47 - 71 [triangle sum theorem]
Measure of angle 8 = 62°
Measure of angle 1 = measure of angle 8 = 62° [based on the alternate interior angles theorem]
Measure of angle 1 = 62°
Measure of angle 2 = 71° [vertical angles theorem]
Measure of angle 5 = 180 - 71 [linear angle theorem]
Measure of angle 5 = 109°
Measure of angle 3 = measure of angle 5 = 109° [vertical angles theorem]
Measure of angle 4 = 180 - measure of angle 3 - 36 [linear angle theorem]
Measure of angle 4 = 180 - 109 - 36
Measure of angle 4 = 35°
Measure of angle 6 = 180 - measure of angle 5 - 42 [linear angle theorem]
Measure of angle 6 = 180 - 109 - 42
Measure of angle 6 = 29°
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mario se fue de compras con 90 soles los cuales gasto de la siguiente manera en chompas gasto el doble que en camisas y en pantalones gasto el triple que en camisas¿ caunto gasto en pantalones?
Answers
The amount spent on pants based on the information illustrated is 45 soles.
How to calculate the value?Let the amount spent of shirt = x
Amount spent on sweaters = 2x
Amount spent on pants = 3x
Amount spent = 90
Therefore, the value will be:
x + 2x + 3x = 90
6x = 90
Divide
x = 90/6
x = 15
Therefore, the amount spent on pants will be:
= 3x
= 3 × $15
= 45 soles.
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dont mind the answer I put thank y’all!!
Answers
Answer:
your right
Step-by-step explanation:
the answer is k and l thats right pls mark brainliest
or hit the thanks button!!!!!!!
pls and thank you!
Question 20 (5 points) The Torre Company has the following stockholders' equity account balances in stockholders equity on December 31. Common Stock - $5 par, 60,000 shares issued 340,000 Paid-In Capital in Excess of Par-Common Stock 650,000 Preferred Stock - $100 par, 5,000 shares issued 590,000 Paid-In Capital in Excess of Par-Preferred 120,000 Retained Earnings 240,000 Treasury Stock (cost-$10 per share) 120,000 If net income for the year was $110,000 and a preferred stock dividend of $30,000 was paid, what was the beginning value of retained earnings?
Answers
According to the solving the beginning value of retained earnings:
= $1,60,000.
What is retained earnings?Retained earnings are usually included in the shareholders' equity portion of a company's balance sheet. Retained earnings are computed by adding beginning-period retained earnings to net income (or loss), then deducting dividend distributions.
How do I figure up my retained earnings?To calculate retained earnings, subtract a company's liabilities from its assets to obtain stockholder equity, then locate the common stock line item on your balance sheet and multiply the total stockholder equity by the common stock financial statement figure (if the only two items in your stockholder equity were also common stock).
According to the given data:Retained earnings, ending = $240,000.
Net income = $110,000.
Preferred stock dividend = $30,000.
Retained earning, beginning = ?
Retained earnings, ending = Retained earning, beginning + Net income - Preferred stock dividend
$240,000 = Retained earning, beginning + 110,000 - 30,000
Retained earning, beginning = 1,60,000
According to the solving the beginning value of retained earnings:
= $1,60,000.
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3. Rhombus KLMN with vertices K(-3, 2), L(1, 4),
and N(-5, -2): (x,y) → (x+2, y-5)
Answers
The translated vertices of the rhombus are: K(-1,-3), L(3,-1), M(1,-5) and N(-3,-7)
The rhombus is a parallelogram which has all sides equal. the diagonals of a rhombus bisect at right angles. the difference between a rhombus and a square is that none of the angles of a rhombus are 90°.
To translate a figure with given co-ordinates into another figure with a particular translation we simply add or subtract the given values from the coordinates of the available points.
Given co-ordinates of Rhombus are K(-3, 2),L(1, 4),M(-1 ,0)and N(-5, -2).
The translation is given as (x,y) → (x+2, y-5)
So we calculate the coordinates as:
The translated co-ordinate K(-3, 2)→ K'(-1,-3)
The translated co-ordinate L(1, 4)→ L'(3,-1)
The translated co-ordinate M(-1 ,0)→ M'(1,-5)
The translated co-ordinate N(-5, -2)→ N'(-3,-7)
Hence the co-ordinates of rhombus translated by (x,y) → (x+2, y-5) are K(-1,-3), L(3,-1), M(1,-5) and N(-3,-7).
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Two points have the same y-coordinate but opposite x-coordinates. Which is a possible graph of these points?
Answers
The possible graph for two points have the same y-coordinate but opposite x-coordinates is shown below.
In a general point (x,y) , the value x represents the distance from origin to point along x - axis,
and
the value y represents the distance from origin to point along y axis.
It is given in the question that
There are two points in which the y coordinate of both the points is same
the x coordinate is of opposite signs.
Let us take an Example
let the points be A(a,b) and B(c,d)
According to the question
b = d and -a = c
So the points will become (a,b) and (-a,b)
For Example ;
let a=2, b=3
the two points will become (2,3) and (-2,3).
Therefore , the possible graph of these points is shown below .
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what is the value of the algebraic expression if x=1/2, y -1, and z=2?
Answers
The value of the given algebraic expression 6x(y²z) is (D) 6.
What are algebraic expressions?In mathematics, an algebraic expression is an expression composed of variables and constants as well as algebraic operations (addition, subtraction, etc.). Terms combine to form expressions. 2(x + 8y) is an algebraic expression, for example.So, substitute the values of x, y, and z in the given expression:
6x(y²z)
When x = 0.5, y = -1 and z = 2
= 6(0.5)((-1)²)(2)= 3(1)(2)= 6Therefore, the value of the given algebraic expression is (D) 6.
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The complete question is given below:
What is the value of the algebraic expression if x= 1/2 , y = -1, and z = 2? 6x(y²z)
A. -12
B. -6
C. 1
D. 6
What is the image of the point
(−9,7) (−9,7) after a rotation of 180∘
counterclockwise about the origin?
Answers
The image of the point (-9,7) after a rotation of 180 counterclockwise about the origin is at (9, -7).
What is Dilation?Dilation is a process for creating similar figures by changing the size.
What is the rotation of a point counterclockwise about the origin?Rotation of a point P(x, y) 180 counterclockwise about the origin produces an image at P'(-x, -y).
Here, the point counterclockwise about the origin → (-(-9), -7).
Therefore, the image of the point (-9,7) after a rotation of 180 counterclockwise about the origin is at (9, -7).
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