Answers
y = 140, x = 159
Step-by-step explanation:
Angle y:
we can find this angle by subtracting 40 from 180, 180-40 = 140 = y
Angle x:
Some measure of an angle plus angle b is equal to 180 degrees: 180-61 = 119
We can now find the measure of the third angle of the triangle: 180-(119+40) = 21
The third angle plus angle x is equal to 180: 180-21 = 159 = x
\( \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star\)
x = 159°y = 140°\(\textsf{ \underline{\underline{Steps to solve the problem} }:}\)
\(\qquad❖ \: \sf \:y + a = 180\)
( linear pair )
\(\qquad❖ \: \sf \:y + 40 = 180\)
\(\qquad❖ \: \sf \:y = 180 - 40\)
\(\qquad❖ \: \sf \:y = 140 \degree\)
And
\(\qquad❖ \: \sf \:x = a +( 180 - b)\)
( Exterior angle = sum of opposite interior angles )
\(\qquad❖ \: \sf \:x = 40 + (180 - 61)\)
\(\qquad❖ \: \sf \:x = 40 + 119\)
\(\qquad❖ \: \sf \:159 \degree\)
\( \qquad \large \sf {Conclusion} : \)
x = 159°y = 140°Related Questions
T/F: The shapes are similar.
Answers
Shape DCBA ~ Shape SRQP
Hope this helps
Evaluate + for x = 6, y=-4, and z=-2.
09
0 27
0-9
0-27
Answers
Answer:
-27
Hope this helped in anyway
Answer:
the answer to this is -27.
write the mixed number as an improper fraction
Answers
Answer:
\(\frac{19}{6}\)
Step-by-step explanation:
3\(\frac{1}6}\)
\(\frac{6}{6}\) + \(\frac{6}{6}\) + \(\frac{6}{6}\) + \(\frac{1}{6}\) \(\frac{6}{6}\) is another name for 1 How many 6th's do we have?
\(\frac{19}{6}\)
Real estate ads suggest that 62% of homes for sale have garages 28% have swimming pools and 18% have both features. If a home for sale has a garage what’s the probability that it has a pool too?
Answers
Answer:
Step-by-step explanation:
The events are not independentd) The events are not mutually exclusiveStep-by-step explanation:Hi!Lets call: Gar = {homes with garage}Pool
Suppose there is a simple index of two stocks, stock A and stock B. Stock A opens on Monday with 5000 shares at $2.75 per share. Stock B opens on Monday with 3000 shares at $4.30 per share. Stock A opens on Tuesday at $3.10 per share, and stock B opens on Tuesday at $4.85 per share. Both stocks have the same number of shares that they opened with on Monday. What is the rate of change of this simple index over 1 day?
Answers
The rate of change of the simple index over one day is approximately 12.78%.
To calculate the rate of change of the simple index over one day, we need to determine the percent change in the total value of the index between Monday's opening and Tuesday's opening.
On Monday, Stock A has 5000 shares at $2.75 per share, so its total value is:
Total value of Stock A on Monday = 5000 * $2.75 = $13,750
Similarly, on Monday, Stock B has 3000 shares at $4.30 per share, so its total value is:
Total value of Stock B on Monday = 3000 * $4.30 = $12,900
The total value of the index on Monday is the sum of the values of Stock A and Stock B:
Total value of the index on Monday = $13,750 + $12,900 = $26,650
On Tuesday, Stock A opens at $3.10 per share, and Stock B opens at $4.85 per share. Both stocks still have the same number of shares as on Monday.
The total value of Stock A on Tuesday is:
Total value of Stock A on Tuesday = 5000 * $3.10 = $15,500
The total value of Stock B on Tuesday is:
Total value of Stock B on Tuesday = 3000 * $4.85 = $14,550
The total value of the index on Tuesday is the sum of the values of Stock A and Stock B:
Total value of the index on Tuesday = $15,500 + $14,550 = $30,050
To calculate the percent change in the index, we use the formula:
Percent Change = ((New Value - Old Value) / Old Value) * 100
Percent Change = (($30,050 - $26,650) / $26,650) * 100 ≈ 12.78%
For more such question on index. visit :
https://brainly.com/question/15361818
#SPJ8
Sara started with 12 comic books in her collection. She collected the same number of comic books each month until she had 20 comic books in the 4th month. Ashton started with 2 comic books in his collection and continues to collect 3 comic books each month.
I NEED HELP PLEASE IM IN A TEST RN IF YOU GIVE ME THE CORRECT ANSWER I WILL GIVE U 70 PONITS
Answers
Sara and Ashton both have the same number of comic books after 10 months
How to determine when they both have the same number of books?From the question, we have the following parameters that can be used in our computation:
Sara
Initial = 12 comic books
Books at the fourth month = 20
Ashton
Initial = 2 comic books
Books each month = 3
The equations can be represented as
Total number of books = Initial + Books each month * Number of months
Rewrite as
y = Initial + Books each month * x
For Ashton, the equation is
y = 2 + 3x
For Sara, we have
y = 12 + Books each month * Number of months
So, we have
20 = 12 + Books each month * 4
This gives
Books each month = 2
So, the equation is
y = 12 + 2x
Substitute y = 2 + 3x in y = 12 + 2x
2 + 3x = 12 + 2x
Evaluate the like terms
x = 10
This means that
Number of months = 10
Hence, the number of months is 10
Read more about linear equations at
https://brainly.com/question/13738662
#SPJ1
Complete question
Sara started with 12 comic books in her collection. She collected the same number of comic books each month until she had 20 comic books in the 4th month. Ashton started with 2 comic books in his collection and continues to collect 3 comic books each month.
Calculate when they both have the same number of books
Which number is the farthest from -2 on the number line?
1.
6
2.
0
3.
-1
4.
-9
Answers
Answer:
6
Step-by-step explanation:
-2 is 8 away from 6 on the number line. When you see how far away -2 is from all the other numbers, they are less than 8 away. Therefore, 6 is the answer.
I hope this helps!
Need answer asap, correct answer gets brainliest.
Answers
Answer:
X+5
Step-by-step explanation:
2 The temperature in Chicago was - 10 degrees Fahrenheit. It then rose 5 degrees.
a. Write an equation that you can use to find the new temperature.
b. What is the new temperature?
C. Is your answer a positive or negative integer? Why?
Answers
Answer:
Step-by-step explanation:
Given
Initial Temperature = -10
Increment = 5
Required
Solving (a): Write an Equation
The equation is to add the initial temperature and the increment
i.e
Equation = Initial Temperature + Increment
Solving (b): Solve the equation
Substitute values for initial temperature and the increment
Result = -10 + 5
Result = -5
Solving (c):
It's a negative answer because the increment in temperature is not greater than the initial temperature
state the minimum value of f(x) = 3x^2 + 6x - 2
Answers
Answer:
Explanation:
Given:
\(f(x)=3x^2+6x-2\)There are ways to find the minimum value of the given function. We graph it or express it into vertex form:
For the graph:
Based on the graph, the lowest point is at (-1,-5).
We can double check this by expressing it into vertex form:
\(\begin{gathered} 3x^2+6x-2\text{ = }3(x+1)^2-5 \\ \text{where:} \\ h=-1 \\ k=-5 \\ or \\ (-1,-5) \end{gathered}\)Therefore, the minimum value is (-1,-5)
mean of 7
observations was calculated as 40. It was detected on rechecking that the value 63 was
wrongly copied as 36. Find the correct mean?
Answers
Answer:
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Because 63 is a multiple of 7
So.... 63/7
=9
So this shows us 9 is the mean
HOPE IT HELPS YOU!
PLEASE MARK ME AS BRAIN LIST IF MY ANSWER IS HELP FUL
Which graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1?
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0, and the horizontal asymptote is at y = 1.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0, and the horizontal asymptote is at y = negative 1.
Mark this and return
Answers
The correct answer is Option C. The graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1 is On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, the graph of a hyperbola is shown.
In quadrant 1, one curve opens up and to the right, while in quadrant 3, the other curve opens down and to the left.
The vertical asymptote is at x = -1, and the horizontal asymptote is at y = 0. This hyperbola is symmetrical across both the x and y axes.
The function f(x) = 1/x - 1 has a vertical asymptote at x = 0 because the denominator approaches zero as x approaches zero.
A fraction with a denominator of zero cannot exist.
The horizontal asymptote of this function is y = -1 because as x approaches infinity or negative infinity, f(x) approaches -1.
For more questions on graph
https://brainly.com/question/30665392
#SPJ8
how do you slove thia
Answers
finding values of products and quotient functions
\(( \frac{r}{s} )(3) = \)
(3) = [/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/fo6qtw13QDITrL0XHWTkFEFXENPGcfQd.jpeg)
Answers
The product and the quotient of the functions are as follows:
(rs)(4) =8
(r / s)(3) = 2
How to solve function?A function relates input and output. It relates an independent variable with a dependent variable.
Therefore, let's solve the function as follows:
r(x) = 2√x
s(x) = √x
Therefore, let's find
(rs)(4) = r(4) × s(4) = 2√4 × √4 = 4 × 2 = 8
Let's find
(r / s)(3) = r(3) / s(3) = 2√3 / √3 = 2
Therefore,
(rs)(4) =8
(r / s)(3) = 2
learn more on function here: https://brainly.com/question/17430065
#SPJ1
1) -5y+3=2(4y+12)
2) 4 x 2 − 2 x − 2 x − 2 = − 1 2
Answers
Answer:
4x2-2x-2x-2=-12
Step-by-step explanation:
- number's
What is the tan if x?
Answers
\(\qquad\qquad\huge\underline{{\sf Answer}}\)
The given triangle is a right triangle, with one of the acute angle measuring 45°
let's calculate x ~
\(\qquad \tt \dashrightarrow \:x + 45 + 90 = 180\)
\(\qquad \tt \dashrightarrow \:x + 135 = 180\)
\(\qquad \tt \dashrightarrow \:x = 180 - 135\)
\(\qquad \tt \dashrightarrow \:x = 45 \degree\)
So, tan x is :
\(\qquad \tt \dashrightarrow \: \tan(x) = \tan(45 \degree) \)
[ since x = 45° ]
\(\qquad \tt \dashrightarrow \: \tan(x) = 1\)
A rectangle is 1/3 yards long and 2/3 yards wide What is the area of the rectangle? Enter your answer
Answers
Length of a rectangle \( = \tt \frac{1}{3} \: yards \)
Width of a rectangle \( = \tt \frac{2}{3} \: yards \)
We know that :
▪︎Area of rectangle = Length × Breadth
Area of this rectangle :
\( = \tt length \times breadth\)
\( = \tt \frac{1}{3} \times \frac{2}{3} \)
\( \color{plum} = \tt \frac{2}{9} \: yards\)
Therefore, the area of this rectangle \( \color{plum} = \tt \frac{2}{9} \: yards \)
In March of 2018, a survey asked 801 US adults whether they had at least one subscription to a video-streaming service. Of the 801 participants in the survey, 457 indicated they subscribed to at least one video-streaming service. What is the correct 95 percent confidence interval for the proportion of all US adults who would say they subscribe to a video-streaming service?
Answers
Answer:
The 95% confidence interval for the proportion of all US adults who would say they subscribe to a video-streaming service is (0.5362, 0.6048).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).
Of the 801 participants in the survey, 457 indicated they subscribed to at least one video-streaming service.
This means that \(n = 801, \pi = \frac{457}{801} = 0.5705\)
95% confidence level
So \(\alpha = 0.05\), z is the value of Z that has a pvalue of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).
The lower limit of this interval is:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5705 - 1.96\sqrt{\frac{0.5705*0.4295}{801}} = 0.5362\)
The upper limit of this interval is:
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5705 + 1.96\sqrt{\frac{0.5705*0.4295}{801}} = 0.6048\)
The 95% confidence interval for the proportion of all US adults who would say they subscribe to a video-streaming service is (0.5362, 0.6048).
work out the area of a circle with diameter 1.8cm. Take \(\pi\) to be 3.142 and give your answer in 1 decimal place.
Answers
Area of a circle is pi x r ^2
R = diameter/2
R = 1.8/2 = 0.9
Area = 3.142 x 0.9^2
Area = 2.5 square cm.
Some help plz Thanks.
Answers
Answer:
4
Step-by-step explanation: 4/1
Answer:
\(m_{l_{2} }\) = 4
Step-by-step explanation:
( \(x_{1}\) , \(y_{1}\) )
( \(x_{2}\) , \(y_{2}\) )
m = \(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)
Slopes of parallel lines are equal.
~~~~~~~~~~~~
(- 3, 1)
( - 2, 5)
\(m_{l_{1} }\) = \(\frac{1-5}{-3+2}\) = \(\frac{-4}{-1}\) = 4 ⇒ \(m_{l_{2} }\) = 4
A scientist was tracking the diving patterns of whales. A whale was at a depth of 3 meters below sea level and then dove an amount of ten meters twice before ascending four meters. The scientist noted that the whale’s current depth in relation to sea level was -16 m. What error did the scientist make?
A The scientist used a negative amount when it should be positive. The correct answer is 16 m.
B The scientist did not include the whale’s starting depth. The correct answer is -19 m.
C The scientist needed to add all the amounts together. The correct answer is -27 m.
D The scientist did not make an error. The correct answer is -16 m.
Answers
Answer:
the answer is b
Step-by-step explanation:
i got the question correct with the answer b
Kathy and Robert had a pottery stand at the annual craft fair. They sold some of their pottery at the original price of $10.50 each, but later decreased the price of each by $3.00. If they sold all 84 pieces and took in $699.00, find how many sold at the original price and how many they sold at the reduced price
Answers
Initial price: $10.50
final price: $10.50-$3.00 = $7.50
pieces sold: 84
final income: $699
If we establish that 'x' represents the number of items sold at the initial price and that 'y' represents the number of items sold with the final price, we can write the following equations:
equation 1.
\(x+y=84\)equation 2.
\(10.50\cdot x+7.50\cdot y=699\)Now, we have a system of 2 equations with 2 unknowns. We can solve the system as it follows:
\(\begin{gathered} x+y=84\rightarrow x=84-y \\ 10.50x+7.50y=699 \\ 10.50\cdot(84-y)+7.50y=699 \\ 882-10.50y+7.5y=699 \\ 882-699=10.50y-7.5y \\ 183=(10.50-7.50)y \\ 183=3y \\ y=\frac{183}{3} \\ y=61 \end{gathered}\)We obtain that 'y' is equal to 61, which indicates that 61 items were sold with the final or reduced price.
Now let's find the value of x
\(\begin{gathered} x=84-y \\ x=84-61 \\ x=23 \end{gathered}\)We obtained that 'x' equals to 23. Which means that 23 items were sold at the original price.
In conclusion:
23 -> items sold at original price
61 -> items sold at reduced price
what would the speed be if the tailwind of an airplane is 150 mph and the headwind remains at 100 mph
Answers
Answer:
To calculate the speed of the airplane, we need to subtract the speed of the headwind from the speed of the tailwind.
To calculate the speed of the airplane, we need to subtract the speed of the headwind from the speed of the tailwind. Speed of airplane = (Speed of tailwind) - (Speed of headwind)
To calculate the speed of the airplane, we need to subtract the speed of the headwind from the speed of the tailwind. Speed of airplane = (Speed of tailwind) - (Speed of headwind)Speed of airplane = (150 mph) - (100 mph)
To calculate the speed of the airplane, we need to subtract the speed of the headwind from the speed of the tailwind. Speed of airplane = (Speed of tailwind) - (Speed of headwind)Speed of airplane = (150 mph) - (100 mph)Speed of airplane = 50 mph
To calculate the speed of the airplane, we need to subtract the speed of the headwind from the speed of the tailwind. Speed of airplane = (Speed of tailwind) - (Speed of headwind)Speed of airplane = (150 mph) - (100 mph)Speed of airplane = 50 mphTherefore, the speed of the airplane would be 50 mph.
What value of p makes this equation true?
p3−5=4
Drag and drop the number that correctly completes the equation.
p =
24, 25, 26, 27, 28
Answers
The value of p that makes the equation p / 3 - 5 = 4 true is 27.
How to find the value of p that makes the equation true?The value of p that makes the equation p / 3 - 5 = 4 true can be calculated as follows:
We have to find the value of the variable p in the equation. A variable is number represented with letter in an equation.
Therefore,
p / 3 - 5 = 4
add 5 to both sides of the equation
p / 3 - 5 = 4
p / 3 - 5 + 5 = 4 + 5
p / 3 = 9
cross multiply
p = 9 × 3
p = 27
Therefore, 27 makes the equation true.
learn more on equation here: https://brainly.com/question/17743853
#SPJ1
Chana and Josiah started skating at the same time in the same direction, but Josiah had a head start 10
meters past the starting line. Chana skated 3 meters per second and Josiah skated 2 meters per second.
Here's a graph that shows a system of equations for this scenario where x is the number of seconds since
Chana and Josiah started skating and y is the distance in meters from the starting line.
Answers
Answer:
josiahs distance from the starting line at a time when shes behind josiah
Step-by-step explanation: got it right in khan
The correct statement according to scenario
Josiah's distance from the starting line at a time when he is behind Chana.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have,
Josiah's head start = 10 meters from the start
Josiah's speed = 2 m/s
Chana's speed = 3 m/s
Now, the distance travelled as
D= d x s+ t
For Josiah, we have;
D = 10 + 2•t (line a)
For Chana, we have;
D = 0 + 3•t = 3•t (line b)
Thus, Josiah's distance from the starting line at a time when he is behind Chana.
Learn more about Equation here:
https://brainly.com/question/28033985
#SPJ3
Simplify or solve the problems
1) 14a+2a=
2) 4x - 7 - 3 =0
3) 6x + 6 - =o
Answers
2. put variables on side and constants on the other so
4x = 10
x = 5/2
3. I’m confused on this one? Is there supposed to be another number after the subtraction sign ?
Please Help!
I'm in a hurry!
Answers
Answer:
-2 due to the y axis having the line run through the -2
Answer:
Y-intercept is -2. Equation is y=1x-2
Step-by-step explanation:
#NotATest.
You probably don't want an explanation.
The y-intercept is -2 because that is where the line meets the y-axis.
The slope is 1 because the line is going up 1 unit, and over 1 every time.
The last part is -2 because that is the y-intercept.
Hope this helps!
Can someone help me please it's only 2 questions!!!!!
Answers
Problem 1
Answer: -4 + 7Reason: We start at 0 and move 4 units left. This is represented by 0+(-4) or 0-4. That simplifies to -4. Then add on 7 to move 7 units to the right to arrive at 3 as the final destination.
=============================================
Problem 2
Answer: 8 + 3Reason: We start at 0 and move 8 units to the right. That is represented by +8 or simply 8. Then the +3 will move us 3 more units to the right to get to 11 on the number line. This is one visual way to see why 8+3 = 11.
math problem need help give 5 stars and good rating if do
Answers
Answer:
The answer is A, 20%.
Step-by-step explanation:
If you find 30 out of 150, it is 20%. A simple way to do it is add 30 up until you get 150. So in this case it is 5 times. Then you do 100% divided by 5 which is 20%. Hope this helps!
Please help!! Best answer gets brainliest<3
Answers
Answer:
-5.1
Step-by-step explanation:
Since we know the starting temperature was -12.6 and the decrease was 7.5, that gives an equation.
-12.6 - 7.5.
Since we are working in temperature we need to be careful when subtracting.
-12.6 - 7.5 = -5.1
In a calculator, -12.6 - 7.5 would be 20.1 but since we are using temperature the answer is -5.1.
Hope that helps. x