The value of x is equal to 127 degrees.
Data;
Outer angle = 233Inner angle = 53unknown angle = xAngle tangent to a circleTo find the angle x which is related to angle 233 to form the outer angle 53, the equation
[tex]\frac{1}{2} (233 - x) = 53[/tex]
We can proceed to solve for x by simplifying the equation which will give us
[tex]\frac{1}{2}(233-x) = 53\\2 * 53 = 233 - x\\106 = 233 - x\\x = 233 - 106\\x = 127^0[/tex]
The value of x is equal to 127 degrees.
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Answer:
Step-by-step explanation:
just took the quiz
can you Solve for c?
Answer:
[tex]3\sqrt{2}[/tex] or [tex]\sqrt{18}[/tex]
Step-by-step explanation:
Use 45-45-90 triangle theorem
3*[tex]\sqrt{2}[/tex]
A linear function g models a relationship in which the dependent variable decreases 3 units for every 5 units the independent variable increases. Graph g when g(0)=-3 . Identify the slope, y-intercept, and x-intercept of the graph.
Answer:
The slope (m = rate of growth) for this function is 3/5. So, m= 3/5.
The y-intercept (b) for this function is located at (0,3). So, b=3.
Therefore, h(x) = 3/5x + 3
Step-by-step explanation:
Let the independent variable be x and dependent variable be y
y=h(x)
h is a linear function so it is represented in the general form of y=mx+c where
m is slope and c is the y-intercept.
Given "the dependent variable decreases 3 units for every 5 units the independent variable increases."
When x increases by 5, y decreases by 3
So the slope = rate of change of y / rate of change of x = -3/5
Given h(0)=3, h(0)=m(0)+c=3
c=3
Combining slope and y-intercept, y=-3/5*x+3
x-intercept is when y=0
0=-3/5*x+3
3/5*x=3
x=3*5/3=5
x-intercept=5
The slope of the linear function 3/5.
The y - intercept of the linear function - 3.
The x - intercept of the linear function - 5.
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
A linear function g models a relationship in which the dependent variable decreases 3 units for every 5 units the independent variable increases.
And, g(0) = - 3
Now,
Since, A linear function g models a relationship in which the dependent variable decreases 3 units for every 5 units the independent variable increases.
So, Slope = Rate of growth
= - 3 / 5
Thus, The slope of the linear function - 3/5.
Hence, The general form of equation of line is,
⇒ y = mx + c
⇒ g (x) = - 3/5x + c
Since, g (0) = - 3
⇒ g (0) = - 3/5 × 0 + c
⇒ - 3 = c
Thus, The y - intercept of the linear function - 3.
Hence, We get the general form of equation of line as;
⇒ g (x) = - 3/5x - 3
For x - intercept put g (x) = 0, we get;
⇒ 0 = - 3/5x - 3
⇒ - 3/5x = 3
⇒ x = - 5
Thus, The x - intercept of the linear function - 5.
Therefore, The slope of the linear function 3/5.
The y - intercept of the linear function - 3.
The x - intercept of the linear function - 5.
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How to find derivative of a curved graph.
Naomi has earned $81 mowing lawns the past two days. She worked 3
1
2
hours yesterday and 3
1
4
hours today. If Naomi is paid the same amount for every hour she works, how much does she earn per hour to mow lawns?
Answer:
She would of made $40.5 because of $81 divided between the 2 days that she worked
can someone please help me :)
Answer:
1/2
Step-by-step explanation:
We have 2 points, (1,3) and (9,7). So, the slope of the line is (7-3)/(9-1)=4/8=1/2
fully simplify 124:72:48
Answer:
31:18:12
............................
A polynomial divided by a polynomial is a polynomial
Answer:
what is this question???
Answer: I think you were trying to ask if this was a true statement, and the answer is yes. If that's what you needed to know?
How do I check my answer?!?? 6.78J-5.2=4.33J+2.15. J=3
Please answer !
The Running Aces card team won $548 dollars playing in poker tournaments last year. The winnings were split evenly among the p players.
How much money did each player receive?
Write your answer as an expression.
Since the question doesnt give the amount of players on the team we can just say that each player was given 548/p dollars.
About 5 out of 10 people entering a community college need to take a refresher mathematics course. If there are 970 entering students, how many will probably need a refresher mathematics course?
I need a answer asap
Let (x) = 6x. The graph of f(x) is transformed into the graph of g(x) by a verticle compression of 1/3 and a translation of 2 units up. What is the equation for g (x)?
Answer:
g(x) = 2x + 2
Step-by-step explanation:
f(x) = 6x
g(x)= 1/3*f(x) + 2
g(x) = 2x + 2
Find the perimeter. Simplify your answer.
Please help me!
Someone help me please :(
Answer:
ok, but i can't even see nothing, though ;-;
What is the value of 3x + 4y² when x = 5 and y = 3?
The value of 3x + 4y² when x = 5 and y = 3 is 51.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given expression is,
3x + 4y²
We have to find the value of the expression when the value of x = 5 and that of y = 3.
For that, substitute x = 5 and y = 3 in place of x and y.
3x + 4y² = (3 × 5) + (4 × 3²)
= 15 + (4 × 9)
= 15 + 36
= 51
Hence the value of the expression is 51.
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Answer:
51
Step-by-step explanation:
How Take a picture of the question
Answer:
uh
Step-by-step explanation:
this is very easy go to your camera
The sum of twice a numbet n, and 14 ls 30 write an equation that models this
statement. Then explain how you might use reasoning to find the value of
Answer:
2n + 14 = 30
n = 8
Step-by-step explanation:
When the question says twice a number n, that means 2 * n = 2n.
Then when it says the sum of 2n and 14, that means 2n + 14.
Then they said that the sum of 2n + 14 = 30
If you want to find the value of n, subtract 14 from both sides:
2n = 16
Then divide by 2 on both sides:
n = 8
I hope this helps!
Solve to get cake, cookies and a hug
Remember y=mx +b Given the following graph what would the equation be?
Answer:
b. y=1/2x-2
Step-by-step explanation:
We can determine b by looking at the y intercept, which, in this case is (0,-2). Now we know that b is -2. To find the slope, we need to look a rise over run which is 1/2 here (1 up, 2 right). So, our final answer is y=1/2x-2
A function is described by the equation
f(x) = 3x – 4. If f(x) = 26, what is the
value of x?
m= -2 b=15 write the equation of the line
Answer:
y=-2x+15
Step-by-step explanation:
Hi there!
We are given that m=-2, b=15, and we want to write the equation of the line, given these values
We can write the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept, since we are given the values of both m and b.
Since we know the values of m and b (-2 and 15 respectively), we can substitute those numbers in as the variables they equal to.
Substitute -2 as m:
y=-2x+b
Substitute 15 as b:
y=-2x+15
Hope this helps!
Based on information from Consumer Reports, a random sample of 35 thirty-gram cookies had a sample mean of 146 calories. The standard deviation is know to be σ = 12. Find a 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies. Round the numbers in your interval to the nearest whole number.
Using the z-distribution, it is found that the 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).
We are given the standard deviation for the population, which is why the z-distribution is used to solve this question.
The information given is:
Sample mean of [tex]\overline{x} = 146[/tex]. Population standard deviation of [tex]\sigma = 12[/tex]. Sample size of [tex]n = 65[/tex].The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
The critical value, using a z-distribution calculator, for a 95% confidence interval is z = 1.645, hence:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 146 - 1.645\frac{12}{\sqrt{35}} = 143[/tex]
[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 146 + 1.645\frac{12}{\sqrt{35}} = 149[/tex]
The 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).
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Three people take 2½ hours to deliver leaflets to 270 houses. Assuming all people deliver leaflets at the same rate, how long will it take five people to deliver leaflets to 405 houses? Give your answer in hours and minutes.
Answer:
3 hours 45 minutes
Step-by-step explanation:
270/2 1/2 = 108. This means they are delivering 108 leaflets an hour. Then you divide 405 by 108 and get 3.75, which is 3 hours and 3 quarters of an hour. since a quarter of an hour is 15 minutes it would be 3 hours 45 minutes.
The number of employees for a certain company has been decreasing each year by 4%. If the company currently has 710 employees and this rate continues, find the number of employees in 11 years.
Answer:
Answer is A
Step-by-step explanation:
there are 30 students in Mr. Robert's classroom. 45% of the students ride the bus how many students ride the buss?
Answer:
About 13 students
Step-by-step explanation:
30*45%=13.5
13.5<14
NO LINKS NO FILES NEED HELP ASAP GET IT RIGHT YOU GET CROWN!!
Seriously no links or files
Answer: A = 27 units^2
Step-by-step explanation: If you cut the shaded region in half it's two rectangles so you have to find the area of it using the formula to find the area of a rectangle.
A = (w)(l) A = (3)(9) A = 27 units^2
Help plzzzz! I rlly need help asap
Answer:
x=0
Step-by-step explanation:
2x-9=0
2x=9
x=9/2
4x+10=0
4x=-10
x=-5/2
2(9/2)-9 =0
4(-5/2)+10=10
Find the area of the parallelogram. b = 90 ft h = 2 yd The area of the parallelogram is __ft² or __yd².
I ain’t giving n9 answer
Factorise. 5a² - 10a
Answer:
5a (a -2)
Step-by-step explanation:
Hey there,
Here, you have to get the common factors out from the brackets.
According to this question,
a and 5 are the common factors.
Therefore, you can write the answer like this,
5a² - 10a
5a (a -2)
Hope this helps you.
Let me know if you have any other questions :-)
The cube less the square of a number is twice the number. If x is a positive integer, what is its value
Answer:
2
Step-by-step explanation:
let 'x' = number
x³ - x² = 2x
x³- x² - 2x = 0
x(x² - x - 2) = 0
x(x - 2)(x + 1) = 0
x = -1, 0, 2
the only positive solution is the number 2
ΔPQR, P = 11, Q =9, and R = 8, so my question is (What are the angles from each side) m∠P=
m∠Q=
m∠R=
I know I need to use the LAW OF SINES and LAW OF COSINES. I know I need a law of cosines but I don't know how to put the numbers in right place.