Answers
Using the sum of the internal angles of a triangle and supplementary angles, it is found that the measure of angle 1 is of 121º.
What is the sum of the internal angles of a triangle?The sum of the three internal angles of a triangle is of 180º.
Hence, the measure of the remaining interior angle is given by:
60º + 61º + x = 180º
x = 59º.
What are supplementary angles?
Two angles are supplementary if the sum of their measures is of 180º.
An interior angle is supplementary with it's respective exterior angle, hence:
m<1 + 59º = 180º
m<1 = 121º.
The measure of angle 1 is of 121º.
More can be learned about supplementary angles at https://brainly.com/question/12919120
Related Questions
Can someone solve this???
Answers
Answer:
1. a)x² + y² = 29 ------------------(1)
y² - x² = 23 ----------------(2)
y² = 23 + x²
Using the value of y² in the first equation:
x² + y² = 29
x² + (23 + x²) = 29
2x² = 6
x² = 3
x = √3
Using the value of x in equation (2)
y² - x² = 23
y² - 3 = 23
y² = 26
y = √26 and x = √3
b) ( 1 - 12x) / 3 < 0 = 1-12x < 0 = x > 1 / 12
(1-x) / 2 ≤ (3-x) 3 = 3 - 3x ≤ 6 - 2x = -3 ≤ x
In these 2 equations, the value of x will be the values of x common to both the inequalities
Since the second equation starts at a much lower value than the first equation, and they are both going up, all the values for the first equation will also stand for the second equation
Hence, the value of x for the given system of equations is
x > 1/12
2.
3x² - 7x + 2 ≥ 0
3x² -6x -1x + 2 ≥ 0 (splitting the middle term)
3x(x - 2) -(x - 2) ≥ 0
(3x - 1)(x-2) ≥ 0
(3x-1) ≥ 0 or (x-2) ≥ 0
x ≥ 1/3 or x ≥ 2
Written above are the 2 solutions for the given equation
4.
We are given that Sin α = (2√3) / 3 or 2/√3
According to the pythagorean law:
sin²α + cos²α = 1
4 / 3 + cos²α = 1
cos²α = (3-4)/3
cos²α = -1/3
cos α = √(-1/3) or i / √3 since √-1 is also known as i
Cosec α = 1/ Sin α
Cosec α = 1 / (2/√3)
Cosec α = √3 / 2
Sec α = 1 / cos α
Sec α = 1 / √(-1/3)
Sec α = (√3) / (√-1)
Since (√-1) is also known as i , we can write this as:
Sec α = (√3) / i
Tan α = Sin α / Cos α
Tan α = (2√3 / 3) / (i / √3)
Tan α = (2√3 * √3) / 3 * i)
Tan α = 2 / i
Cot α = 1/Tan α
Cot α = 1 / (2 / i)
Cot α = i / 2
What does this even mean??? I accidentally went on college
Answers
Answer:
I think what the teacher wants is for you to calculate it and then put said calcuated number on number line
Step-by-step explanation:
FOR EXAMPLE: if the DIFFERENCE is 7, put 7 on the number line
I think the greatest number
What is the coefficient of 5a^2-7
Answers
Answer: 5
Step-by-step explanation:
A coefficient is a number used to multiply a variable. in "5a" 5 is the coefficient.
A government might try to reduce unemployment in order to:
A. Allow businesses to invest money more freely.
B. set limits on its own economic growth.
C. keep inflation from rising too quickly
D. make sure its people can find jobs
If you get it correct will give brainly
Answers
Answer:
Make sure people can find jobs
Step-by-step explanation:
Answer: D, Make sure it’s people can Find job’s.
Step-by-step explanation: it’s the Answer I just did the quiz.
Find the value of x.
(9x + 1)
(11x – 23)
Answers
Can someone please help, ty!!
Answers
Answer:
(-1,0)
Step-by-step explanation:
Answer:
(-1, 0)
Step-by-step explanation:
The x-axis is the horizontal line in bold. It's basically asking what points in the form (x,y) are touching said line.
So we use our eyes and determine that the line intercepts the x-axis at -1 because that vertical bold line is the y-axis and it determines that the left side of the graph is negative and the right side is positive.
Since it is an x-intercpet, when the y-value is 0 the y-term in
(x,y) is 0
and the x-term would be the -1
Please help me I can’t figure it out
Answers
Answer:
its C.
Step-by-step explanation:
omg that took forever to solve
Applying the Pythagorean Theorem
What is the value of x?
x = ?
Answers
Answer :
hyp² = base² + perp²
by putting the values we get
10² = 8² + perp²
100 = 64 + perp²
taking 64 to left side.
100 - 64 = perp²
36 = perp²
Now taking underroot on both sides we get
[tex] \sqrt{36 \: } = \sqrt{perp { }^{2} } [/tex]
therefore
6 = perp
perp is x in the above solution.
The solution is x = 6
The value of x in the triangle is x = 6
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the triangle be represented as ABC
Triangle ABC is a right triangle
Now , the measure of sides of the triangle are
The measure of side AB = x
The measure of side BC = 8
The measure of side AC = 10
Now , For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Substituting the values in the equation , we get
AC² = AB² + BC²
10² = x² + 8²
Subtracting 8² on both sides of the equation , we get
x² = 10² - 8²
x² = 100 - 64
x² = 36
Taking square roots on both sides of the equation , we get
x = 6
Therefore , the value of x is 6
Hence , the measure of side AB of the triangle is x = 6
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PLEASE HELP ME I NEED THE ANSWER VERY BADLY JUST PLEASE GIVE ME THE ANSWER CHOICE AND DONT GUESS!!!!!!!!!!!!!!
the equations below are representations of linear equations in two variables.
I. y=-2/3x+4
II. y-2=2/3(x-9)
III. 2x+3y=12.
Which linear equation(s) in two variables represent a line that contains the point(9,-2) and with a slope of -2/3?
A. I,II and III
B. I and II only
C. I and III only
D. II and III only
Answers
Answer:
ITS B
Step-by-step explanation:
HOPEFULLY THIS WORKS!!!
6. When you barter, you must ________
in order to buy something.
Answers
Answer:
When you barter, you must trade it for something else in order to buy something.
Step-by-step explanation:
When you barter, you must exchange in order to buy something.
What is barter?Barter, the direct exchange of goods or services—without an intervening medium of exchange or money—either according to established rates of exchange or by bargaining. It is considered the oldest form of commerce.
Given: A person barters
Therefore he must trade it for something else (exchange) in order to buy something.
Hence, When you barter, you must exchange in order to buy something.
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A 3-column table with 4 rows. Column 1 has entries Computer repair, sales tax, gratuity, shipping. Column 2 is labeled Store A with entries 1,200 dollars, 6 percent, 15 percent, Free. Column 3 is labeled Store B with entries 1,350 dollars, 7 percent, 15 percent, 2 percent of total price.
How much sales tax will be charged at Store B?
Answers
Answer:
72 on edge
Step-by-step explanation:
Answer:
94.50
Step-by-step explanation:
c(n) = -6 + 5(n-1) Find the 8th term in the sequence.
Answers
Answer:
I think it is 29
Step-by-step explanation:
-6+5((8)-1)=29
In five years, Angela will be the age that Khalil is now. In three years, Khalil will be twice as old as Angela. How old is each now?
Answers
Answer:
so how you would wNt to go about this is we dont know tge ages so youd use variables
Answer:
Khalil is 7 years old. Angela is 2 years old.
Step-by-step explanation:
I hope this helps
What is this question 23474+ 4749
Answers
Answer:
The answer to this is 23474 + 4749 = 28223
Step-by-step explanation:
Hope this helps :)
Answer:
Sum:: 28223
Step-by-step explanation:
If your referring to write it in question form::
What is the sum of 23,474 plus 4,749 ?
1 2 TIME REMAIN 50:24 How could Theo check his work? Check all that apply. Theo solved n + 5 = 11 for the unknown. The steps he took are shown. He started with 5 tiles. He could substitute 5 forn in the original equation and add. He could substitute 6 for n in the original equation and add. Then he added tiles as he counted up to 11. He could subtract 5 from 11 and check that the answer is 6. He realized he added 6 more tiles to his original 5 to make 11. So he found the unknown to be 6. He could subtract 11 from 5 and check that the answer is 6. O He could put all the tiles in 1 pile to count them to see if there are 11 in all.
Answers
Answer:
so first you do the work than check
Step-by-step explanation:
Mary is twice as old as Helen’s age, If 8 is subtracted from Helen’s Age and 4 is added to Mary Age? Mary will be 4 times as old as Helen. What are the ages
Answers
Answer:
set mary is x years old, and helen is y years old.
first sentence:x=2y
second one:4(y-8)=x+4
bring x=2y in 4(y-8)=x+4
=>4y-32=2y+4
=>2y=36
=>y=18
=>x=36
mary:36
helen:18
We want to write and solve a system of equations that models given situation. We will see that Helen is 18 years old, and Mary is 36 years old.
Let's define the variables we will be using.
m = Mary's age.h = Helen's age.We know that "Mary is twice as old as Helen’s age"
Then:
m = 2*h
"If 8 is subtracted from Helen’s Age and 4 is added to Mary Age, Mary will be 4 times as old as Helen."
(m + 4) = 4*(h - 8)
Then the system of equations is:
m = 2*h
(m + 4) = 4*(h - 8)
To solve it, we can replace m by 2*h in the second equation, so we get:
(2h + 4) = 4*(h - 8)
2*h + 4 = 4*h - 32
4 + 32 = 4*h - 2*h
36/2 = h = 18
And we know that:
m = 2*h = 2*18 = 36
So Helen is 18 years old, and Mary is 36 years old.
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Nathan received a package for his birthday the package wait $5,910,000 milligrams select the conversions that are equivalent to 5,910,000. Mark all that apply.
59,100 kilograms
59.1 centigrams
591,000 centigrams
5.91 kilograms
Answers
Answer:
5.91 kilograms
591,000 centigrams
Step-by-step explanation:
These two are WRONG:
59,100 kilograms
59.1 centigrams
Twelve decreased by twice a number equals -34. What is that number?
Answers
Answer:
12 - 2x = -34
Step-by-step explanation:
Im not entirely sure if this is correct but yeee
High Hopes^^
Barry-
Determine x:
X
2
47°
Answers
How many feet are in 120 inches?
Enter your answer in the box.
ft
Answers
The required converted value is 10 feet, which is 120 inches into feet.
As we know that unit conversion is the process of converting a quantity from one unit of measurement to another. It refers to multiplying the given quantity by a conversion factor that blends the two proportional units.
To convert inches to feet, we use the conversion factor:
1 foot (ft) = 12 inches (in)
Therefore, to convert 120 inches to feet, we divide by the conversion factor:
120 inches / 12 in/ft = 10 feet
So, there are 10 feet in 120 inches.
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what is 4/9 times what equals 12
Answers
Step-by-step explanation:
4/9A = 12
A = 12×9/4
= 27
......
(1 point)
Calculate the directional derivative of f(x, y) = cot-'(xy) in the direction of v = -4i + 5j at the point P = (0.5, 0.5).
Remember to normalize the direction vector.
DS(0.5, 0.5) =
Answers
Looks like f(x, y) = cot⁻¹(xy), as in the inverse cotangent.
If you're like me and you don't remember the derivative of the inverse trig functions, we can derive it as follows. Let y = cot⁻¹(x), so that for appropriate x we can write cot(y) = x. By the chain rule, differentiating both sides gives
-csc²(y) y' = 1
y' = -sin²(y) = -sin²(cot⁻¹(x)) = - 1 / (x² + 1)
Next, recall that the derivative of a function f(x, y) at a point (a, b) in the direction of a vector v is given by
∇ f(a, b) • v
Compute the gradient ∇ f(x, y) :
∇ f(x, y) = - y / ((xy)² + 1) i - x / ((xy)² + 1) j
At the point P, we have
∇ f(x, y) = - 8/17 i - 8/17 j
So, the derivative of f at P along v = - 4 i + 5 j is
(- 8/17 i - 8/17 j) • (- 4 i + 5 j) = - 8/17
Which equation represents the graph shown?
Answers
Step-by-step explanation:
The graph is a linear equation starting at 0.
form y = mx + b.
starts at 0, so b = 0, so the 2nd and 3rd choices are incorrect.
change in y/change in x is the slope,
and you can see it goes up about 35 in the y direction for every 1 in the x, so the slope is 35.
so it's the first answer.
The linear equation of the graph is y = 35x. So, the option first is correct.
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form y = mx + b.
The graph is a linear equation origin at 0.
Since b = 0, the 2nd and 3rd choices are incorrect.
The slope = change in y/change in x
Here, we can see that it goes up about 35 in the y-direction for every 1 unit of in the x, so the slope is 35.
so the first answer is correct which is y = 35x.
Learn about linear equations here:
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In training for a swim meet, Logan swam 750 meters in \large \frac {1}{3}
3
1
of an hour. His swimming partner, Mila, swam \frac {2}{3}
3
2
of Logan's distance in \frac {1}{4}
4
1
of an hour. 2. What is Mila's average swimming speed? Show your work.
Answers
Answer:
500
Step-by-step explanation:
Which lines are perpendicular to the line y – 1 = One-third(x+2)
Answers
Answer:
[tex]y-1=-3(x+2)[/tex]
Step-by-step explanation:
The equation of the given line:
[tex]y-1=\frac{1}{3}(x+2)[/tex]
This equation is in the form [tex]y-y_{1}=m(x-x_{1})[/tex]. Therefore, 1/3 is the slope.
To find a perpendicular line, take the opposite reciprocal of the slope (-1/old slope). Therefore, the slope of the perpendicular line is -3.
The equation of the perpendicular line: [tex]y-1=-3(x+2)[/tex]
Acell phone company charges $3.00 to make a phone call plus $0.15 for
each minute for each minute you talk. Which equation would you use to
determine the total cost, c, of a phone call that is m number of minutes
long?
C=0,15 - 300m c-3.00 -0.15m
3.00 = € + 0,19
C = 3,00 + 0.15m
Answers
Answer:
Hi there!
Your answer is:
3+.15m =c
I cannot read your answer choices, but that is your answer. I believe your answer choice that matches is the lowest one; C= 3,00 +.15m
Hope this Helps
cómo se escribe el número 88,317
Answers
Answer:
Eighty-Eight thousand three hundred seventeen
Step-by-step explanation:
Answer:
ochenta ochenta mil trescientos diecisiete
Step-by-step explanation:
No estoy seguro de lo que quiere saber. Asumo que estás preguntando cómo escribirlo en palabras. Pero todavía no estoy tan seguro. Por favor, avíseme si necesito resolverlo de otra manera.
If the variance of the data values in a population is 225, what is the standard
deviation of the data values?
a.15
b.17
c.11
d.13
(apex)
Answers
Answer:15
Step-by-step explanation:
Apex
Simplify the following expressions ?
-9x+9x^2+8x^2+4x
Answers
Answer:
-5x+17x^2
Step-by-step explanation:
Hope that helps good luck
9514 1404 393
Answer:
17x^2 -5x
Step-by-step explanation:
"Simplify" in this context means "combine like terms." It can help to group the terms with the same variables.
-9x+9x^2+8x^2+4x
= 9x^2 +8x^2 -9x +4x
= x^2(9+8) +x(-9+4)
= 17x^2 -5x
Helpp me PlzzzzzZZzz
Answers
Answer: B. Distributive Property
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Distributive Property
