I’ve been able to figure out the rest of the questions but this one has me stumped. I need to solve for x. Can someone please write the steps down so I can learn what to do?
Answers
x+91 and x+111 are supplementary angles (they add up to 180), so you would set an equation by adding both of them to equal 180:
x + 91 + x + 111 = 180
add like terms
2x + 202 = 180
subtract 202 from both sides
2x = -22
divide both sides by 2 to get the answer:
x = -11
Answer:
X= -11
Step-by-step explanation:
Combine the two equations to equal a supplementary line
(X+91)=(x+111)=180
Solve for x by reversing the equation
(x)+(x)=(180-91)+(-111)
x=-22/2
x=-11
then check it
Related Questions
Please help it's urgent!
Answers
An artist makes a batch of orange paint by mixing 3/4 cup of yellow paint whith 3/4 of red paint if mixes 15 batches how many cups of orange paint will have
Answers
Answer:
he would have 22 and 1/2 cups
Step-by-step explanation:
6/4 x 15/1 = 45/2 which also equals 22 1/2
Answer:
22 and 1/2 cups :)
Step-by-step explanation:
(x+2)(x+3)(x+4) can be written in the form \(x^{3}\) + a\(x^{2}\) + bx c where a, b and c are positive integers.
Work out the values of a, b and c.
a = (Answer here) (1)
b = (Answer here) (1)
c = (Answer here) (1)
![(x+2)(x+3)(x+4) can be written in the form [tex]x^{3}[/tex] + a[tex]x^{2}[/tex] + bx c where a, b and](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/IgLtf6WbMuPRVY8lvMiAIUdtSsFfsTnK.png)
Answers
Answer:
a = 9 ; b = 26 ; c = 24
Step-by-step explanation:
(x^2+3x+2x+6)(x+4)
(x^2+5x+6)(x+4)
x^3+5x^2+6x+4x^2+20x+24
x^3+9x^2+26x+24
What is y=4(a)+b
When a=7 and b=2
What is a and b
Answers
Answer: You have awnsered a & b, but when you fill out the equation, you get y=30.
Step-by-step explanation:
* y= 4(7) + 2
* y= 28 + 2
* y= 30
What’s the anwser???
Answers
Answer:
A
Step-by-step explanation:
the area enclosed by Adam's square garden is 144cm square. what is the distance round the gardes
Answers
Identify the location of the values square root of 11, square root of 8, and twenty two ninths on the number line.
Number line with points plotted at two and four tenths labeled Point A, two and eight tenths labeled Point B, and three and three tenths labeled Point C.
Point A is square root of 11, point B is square root of 8, and point C is twenty-two ninths.
Point A is twenty-two ninths, point B is square root of 8, and point C is square root of 11.
Point A is twenty-two ninths, point B is square root of 11, and point C is square root of 8.
Point A is square root of 11, point B is twenty-two ninths, and point C is square root of 8.
Answers
The location of the values square root of 11, square root of 8, and twenty two ninths on the number line is illustrated below.
What is a number line?It should be noted that a number line simply means a straight line that serves as an abstraction for real numbers.
It should be noted that square root of 11 will be 3.316. The square root of 8 is 2.83 and twenty two ninths on the number line will be around 20.22.
This is important to know the place where each falls on the number line.
Note that an overview was given.
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Please help me 20 points
Find m∠A and m∠B =
Answers
Answer:
96 for b 90 for a
Step-by-step explanation:
In a movie, a child who was 32 inches tall was ''blown up'' to be 160 feet tall. Find the scale factor (unitless) needed for the props in the movie. (12 inches:1 foot)
Answers
Answer:
60 or 60:1 (Depending on the answer choices)
Step-by-step explanation:
160 feet = 1920 inches (160 * 12)
\(\frac{1920}{32} = \frac{60}{1}\)
The scale factor required will be 1:60 or 60:1 (actual:movie or movie:actual).
What is a scale factor?The scale factor is the simplest ratio between the actual and the model's size of the same object.
How to solve the question?In the question, we are informed that in a movie, a child who was 32 inches tall was ''blown up'' to be 160 feet tall.
We are asked to determine the scale factor needed for the props in the movie.
To find the scale factor, we first find the size of the child in the movie in inches.
Size = 160 feet = 160*12 inches = 1920 inches.
Now, the scale factor is calculated as the ratio of the actual size to the size in the movie, that is,
Scale factor = 32:1920 = 32/1920 = 1:60.
Therefore, the scale factor required will be 1:60 or 60:1 (actual:movie or movie:actual).
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Find the midpoint given the endpoints (4,-10) (22,-4) Please do not use space when
typing in your answer
Answers
Answer: (13,-7)
Step-by-step explanation:
By using the formula \((x_{m},y_{m}) =(\frac{x_{1}+x_{2} }{2},\frac{y_{1}+y_{2} }{2} )\)
\((x_{m},y_{m})\\\) is the coordinates of the midpoint.
For finding the midpoint X variable do:
\((\frac{4+22}{2})=13\)
For finding the midpoint Y variable do:
\(\frac{-10+(-4)}{2} = -7\) (you can either keep the parenthesis or take them out. Either way, the answer is the same.
Considering coordinate numbers follow the format: (x,y), you'll simply just substitute the numbers found above into their respective places.
x: 13
y: -7
(13,-7).
Please answer in detail Determine whether the following statement is True, False, or Uncertain, and explain your answer. Statement: Flexible exchange rates ...
Answers
The statement "Flexible exchange rates ..." is incomplete, and without further clarification, it is uncertain to determine whether it is true or false. A complete statement is required to provide a clear context for discussing the nature and implications of flexible exchange rates.
Flexible exchange rates refer to a system in which currency exchange rates are determined by market forces, such as supply and demand. Under this system, exchange rates fluctuate freely based on various economic factors, including inflation rates, interest rates, trade balances, and investor sentiment.
Flexible exchange rates offer advantages such as the ability to adjust to changing economic conditions and promote trade balance adjustments. They can also help absorb external shocks and enhance monetary policy autonomy. However, they may also introduce volatility and uncertainty in international trade and investment. To assess the accuracy of the statement, additional information or context is needed.
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Two functions f and g represent the profit of two companies, in millions of dollars, about 13 years after they went into business. Their observed profits for a small time period x are shown in the table. Which is the closest approximation of the time where the two companies have equal profit or loss?
13.253 years
2.3435 years
13.256 years
0.1207 years
Answers
Answer:
13.253 is correct
Step-by-step explanation:
This table shows 0.1203 and 0.1212 having the most correlation since they are the closest to each other which means 13.253 hours is the closest.
Question 11
Erica recorded the number of sales she made during each of the first 4 months when she began her new career. Erica plotted the data on a coordinate grid, and she noted that the data correlate to an exponential equation, as shown What is the domain of the function shown in the graph?
Answers
The domain of the graph is {1, 2, 3, 4}
What is Domain?"All the values" that are input into a function are referred to as the domain of a function. The set of all potential inputs for a function is its domain.
Given:
As, we know domain of a function is the set of all possible inputs for the function.
from the Graph, we can find the coordinates ( 1, 10), (2, 20), (3, 40) and ( 4, 80)
So, the domain of the graph is {1, 2, 3, 4}
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y=kx k=-4 and x= 5/6. find the value of y
Answers
Answer: y= 13
Heart if it helped
Brain if im cool
use slope-intercept form to write the equation of a line that goes through the points (-1,-6) and (3,2)
Answers
Answer:
y=2x-4
Step-by-step explanation:
Use the scale to help you solve the equation.
x + 122
334
e
Answers
Answer:
A. x = 212
Step-by-step explanation:
This scale is showing us that x + 122 is equal to 334 because the scale is balanced and we can see an equal sign (=) in the center. We will set up an equation and solve for x.
[Equation]
x + 122 = 334
[Subtract 122 from both sides]
x = 212
A. x = 212
PLEASE HELP!!! Pleaseee!
Answers
Answer:
a
Step-by-step explanation:
4 (1) if 4 in 47.502 was changed to a 7 how much would the value change? need help asap pls
Answers
Answer:
it would change by 30
Step-by-step explanation:
Hope this helps! Please mark brainliest!
If the function f(x) = x 2 has the domain {0, 1, 4, 9}, what is its range?
Answers
Can someone please help someone who is good at geometry because I’m not sad face :(
Answers
80/16 = 5 :)
Which pair of angles are complementary but not adjacent? A vertical line comes out of a horizontal line. A diagonal line goes through the 2 lines to form 5 angles. From top left, clockwise, the angles are 2 (90 degrees), 1, 5, 4, 3. Angle 1 and Angle 5 Angle 1 and Angle 3 Angle 4 and Angle 1 Angle 4 and Angle 5
Answers
Answer:
1 and 3 i think
Answer:
1 and 3
Step-by-step explanation:
They equal 90 degrees but do not have a common Side, like normal adjacent angles. I can’t decipher the question, so i tried as best as i could! Please let me know if I’m wrong! Thanks!
You own a life insurance company called PeaceOfMind. PeaceOfMind offers only one type of insurance policy that works in the following way. Each policyholder pays PeaceOfMind a fixed "premium" of GHSX per year, starting (for the sake of simplicity) from birth until death. In turn, PeaceOfMind pays each policyholder’s family a "pay-out" of GHS1 million upon the policyholder’s death. The database shows that 60% of PeaceOfMind’s policyholders are male, and 40% are female. Actuarial studies have shown that in this country a man’s life expectancy (also called lifespan) obeys a Normal distribution with mean 75 years and standard deviation 8 years, a women’s life expectancy obeys a Normal distribution with mean 78 and standard deviation 6 years, and all individuals’ life expectancies are independent of one another. Suppose that PeaceOfMind’s policyholders have the same life expectancy distributions as the population of the entire country. PeaceOfMind is not allowed to charge different premiums to men and women because doing so would violate anti-discrimination laws.
c What is the probability that a randomly selected policyholder (who could be either male or female) lives for more than 80 years?
d) A MALE policyholder just turned 80 years old today. Given this fact, what is the probability that he will live for at least three more years?
Answers
(a) The probability that a randomly selected policyholder lives more than 80 years is approximately 0.3106. (b) Given that a male policyholder just turned 80, the probability that he will live for at least three more years is approximately 0.6166.
(a) To find the probability that a randomly selected policyholder lives more than 80 years, we need to calculate the cumulative probability of survival beyond 80 for both males and females separately, and then weigh them based on the gender distribution.
For males: Using the normal distribution with mean 75 and standard deviation 8, we find the probability of survival beyond 80 is approximately 0.3446.
For females: Using the normal distribution with mean 78 and standard deviation 6, we find the probability of survival beyond 80 is approximately 0.2847.
The weighted probability for a randomly selected policyholder is (0.60 * 0.3446) + (0.40 * 0.2847) = 0.3106.
(b) Given that a male policyholder just turned 80 years old today, we can use conditional probability to calculate the likelihood of him living for at least three more years.
Using the normal distribution with mean 75 and standard deviation 8, the probability of survival beyond 83 (80 + 3) is approximately 0.8621.
Therefore, the probability that a male policyholder, who just turned 80, will live for at least three more years is 0.8621.
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During a clothing store’s Bargain Days, the regular price for T-shirts is discounted by $4. There is a state sales tax of 3.5%, and the $4 discount is applied before the sales tax is calculated.
A. Write an expression that shows the regular price r of a T-shirt minus the $4 discount.
B. Write a rule for the function p(r) that expresses the final price p of a T-shirt with the discount applied and sales tax added.
C. How much would you pay during Bargain Days for a shirt regularly priced at $15.50?
I will mark the first correct answer Brainliest!
Answers
Answer:
$4.00+0.035+$4.00=8.035=$8.35
Step-by-step explanation:
What is the inverse of f(x) = x2 + 5
Answers
Answer:
\(f^{-1}\) (x) = \(\sqrt{x-5}\), \(-\sqrt{x-5}\)
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
Answer:
\(f^{-1}\) (x) = \(\sqrt{x-5}\) , - \(\sqrt{x-5}\)
Step-by-step explanation:
Hope this helps!!
A polynomial equation with rational coefficients has:
Answers
Answer:
Every polynomial with rational coefficients has the same roots as one with integer coefficients; just multiply through by the common denominator. The complex roots of such polynomials come as conjugate pairs.
O is the mid point of AC and BD. In ∆ABD, point O is the midpoint of side BD. In ∆CBD, point O is the midpoint of side BD. Hence, the sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its sides.
Answers
We can proved that the sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its sides.
Let's denote the vertices of the parallelogram as A, B, C, and D, with O as the midpoint of AC and BD.
First, we can see that triangles ABO and CDO are congruent by the Side-Side-Side (SSS) postulate, since they share side BD, and both have sides AB and CO of equal length due to O being the midpoint of BD. Therefore, angles AOB and COD are congruent, and we can denote their measure as θ.
Using the Law of Cosines in triangles ABO and CDO, we can express the squares of the diagonals AC and BD in terms of the sides of the parallelogram:
AC² = AB² + BC² - 2(AB)(BC)cosθ
BD² = AB² + BC² + 2(AB)(BC)cosθ
Adding these two equations together, we get:
AC² + BD² = 2(AB² + BC²)
which is the desired result. Therefore, we have shown that the sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its sides.
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Craig and Kelly each have a swimming pool that holds 1,175 gallons of water. Craig’s pool is empty. Kelly’s pool currently has 200 gallons of water. Craig and Kelly will fill their swimming pools. Craig’s pool fills at a rate of 5.5 gallons per minute. Kelly’s pool fills at a rate of 3 gallons per minute.
Write an equation that could be used to determine the amount of water in Craig’s pool at any time while he is putting water in his pool. Let
x
represent time in minutes spent filling the pool today and y represent the total gallons of water in the pool.
Write a similar equation that could be used to determine the amount of water in Kelly’s swimming pool.
Answers
Answer: See photo for details.
Step-by-step explanation:
Un árbol que mide 22 metros de altura está creciendo a un ángulo de 83° con respecto al suelo (ver la figura siguiente). Miranda se para a cierta distancia de la base del árbol, se da cuenta que el ángulo de elevación desde el suelo hasta la parte alta del árbol es 32°. ¿A qué distancia está ella de la base del árbol? Redondear la respuesta a la décima más cercana de un metro.
Answers
Answer: ≈37.8 m
Step-by-step explanation:
The sum of the angles of a triangle is equal to 180°.
⇒ х+32°+83°=180°
х+115°=180°
x+115°-115°=180°-115°
x=65°
The sine theorem goes like this: the sides of a triangle are proportional to the sines of the opposing angles.
\(\displaystyle\\\frac{22}{sin32^0} =\frac{S}{sin65^0} \\\\Multiply\ both \ parts\ of \ the \ equation\ by\ sin65^0:\\\\S=\frac{22(sin65^0)}{sin32^0} \\\\S\approx\frac{22(0.91)}{0.53}\\\\ S\approx37.8 \ m\)
For which domain would f(x) = x be discrete?
Select one:
a.
D = {1, 2, 3, ...}
b.
D={x|0
c.
D = {x|x≥2}
d.
D={all real numbers}
Answers
c
in an arithmetic expression
If t is measured in years, what is theConsider the function y(1.09)percent change in y every year?
Answers
Answer:
Percentage increase every year is 9%
Explanation:
If we have a function of the form
\(y=(1+a)^t\)then a* 100% is the percent increase.
Now, the function
\(y=(1.09)^t\)can be rewritten as
\(y=(1.00+0.09)^t\)meaning a = 0.09; therefore, the percent increase is
\(0.09\cdot100\%\)\(=9\%^{}\)which is our answer!