Answers
in this case n = 5
so
180(5-2) = 180 (3) = 540
so sum of interior angles = 540
x = 540 -(90+107+144+138)
x = 540 - 479
x = 61
answer
x = 61
Related Questions
If an employer spends $30,000 for weight-lifting equipment for the company gym. The company charges $100 a year to each employee who wants to buy a gym pass. The pass is for an unlimited amount of uses. There are 50 employees that work for this company. How many years will it take to pay off the weight-lifting equipment if half of the employees buy the gym pass each year?
Answers
half of 50 is 25
25 *100 = 2500 a year
30,000 / 2500 = 12
it will take 12 years
Choose the abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent.
Given:
∠C, ∠F are rt.∠'s; AC = DF; BC = EF
Answers
The two legs, ie the sides adjacent to the right angle, for the two triangles are also given to be congruent to one another
leg AC = leg DF
leg BC = leg EF
Because we have two pairs of legs congruent for these two triangle triangles, we use the Leg Leg Theorem which abbreviates to the LL Theorem, or simply LL.
This is why the answer is choice B) LL
Answer:
LA
Step-by-step explanation:
Odyssey
Determine the axis of symmetry the vertex and the x-and y intercepts f(x)=x2+2x-3
Answers
The x- and y intercepts is: x- intercept: (1,0),(-3,0)
y intercept: (0,-3)
Hope this helps!:)
The x- and y intercepts is: x- intercept: (1,0),(-3,0)
y intercept: (0,-3)
Round 256 and 321 ( need to when rounding in the hundreds place do we not change the entire number?
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If they are whole numbers, rounded to the hundreds place would be 300 for both. Rounded to two digits would be 260 and 320, respectively.
Please clarify what you mean.
does velocity or mass impact momentum more and why
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Both mass and velocity equally affect momentum in classical physics. However, at relativistic speeds, velocity has a more significant effect on momentum due to relativistic mass increase.
Explanation:The impact of mass and velocity on momentum depends on the context of the object's motion. In classical physics, momentum is defined as the product of an object's mass and velocity, thus both mass and velocity equally influence momentum. However, for objects moving at relativistic speeds—approaching the speed of light—the effect of velocity on momentum is more pronounced due to the relativistic mass increase. To illustrate, a football player with greater mass has a larger impact due to having more momentum when moving at the same velocity as a player with less mass. In contrast, at relativistic speeds, an increase in velocity would result in an exponentially greater momentum, surpassing the effect of just increasing mass.
Simplify 2y^2-7y-15/3y^2-8y-2 9y^2-1/4y^2-9 / y^2+3y-10/2y^2-9y+9
Answers
Two lines that do not intersect are parallel.alwayssometimesnever
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If I put $1500 into my savings account in earned $180 of an interest at 4% simple interest how long was my money in the bank
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How to solve more complex problems involving angles the backwards Method
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What is the measure of angle Y?
Round your answer to the nearest degree
24
26
69
61
Answers
Answer:
I just took the test the answer is indeed 24
Step-by-step explanation:
A certain elevator can hold no more than 2500 pounds. Define a variable and write an inequality for this situation
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Let x represent the total weight in pounds of people and items. The inequality is x≤2500 for the elevator's weight limit.
Let's define the variable x to represent the weight in pounds of the people and items inside the elevator.
The inequality representing the situation would be:
x≤2500
This states that the weight x must be less than or equal to 2500 pounds for the elevator to safely operate within its weight capacity.
Please help me with 18 and 19
Answers
It took Leo 3.5 hours to complete a route walking at a rate of 4.2 mph. How long would it take Leo to complete the same route walking at a rate of 2.8 mph?
plz give exact answer
Answers
3.5 hrs * 4.2 mph = 14.7 mi
t = S/V
14.7 mi/ 2.8 mph = 5.25 hrs
A cone is 10 inches tall and has a radius of 3 inches. What is the cone’s volume?
Answers
So the volume is ⅓ π×9×10=30 π=94.25 cu in approximately.
94.25 is the cone’s volume according to the given information.
What is volume?Volume is a measurement of three-dimensional space that is inhabited. It is frequently expressed quantitatively utilizing SI-derived units, as well as several imperial or US-standard units. Volume and the of length are connected.
The space covered inside an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the material's potential.
Area of the base is πr² where r is the radius.
Area of the base = πr²
The volume of a cone is ⅓ πr²h where h is the height.
The volume of the cone = ⅓ πr²
The cone and circle will be treated in the same equation
So the volume is
= ⅓ π×9×10
=30 π
= 94.25 approximately.
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What is the value for ƒ(x) = 4²ˣ - 100 when x = 2 ?
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__________________________________________
Given: f(x) = 4^(2x) - 100 ;
__________________________________________
When "x = 2" ;
f(2) =4^(2*2) - 100 = [4^(4) ] - 100 ;
= (4* 4 * 4 * 4) - 100 ;
= (16 * 4 * 4) - 100 ;
= (64 * 4) - 100 ;
= (256) - 100 ;
= 156 .
____________________________________
Answer:
f(x)=156
Step-by-step explanation:
If g(x) = 3x − 4, what is the value of g−1(g(13))?
A. 17/3
B. 35
C. x+4/3
D. 13
Answers
Because we have an inverse, this means we can use the rule
[tex]g^{-1}(g(x)) = x[/tex]
Replace x with 13
[tex]g^{-1}(g(x)) = x[/tex]
[tex]g^{-1}(g(13)) = 13[/tex]
The answer is choice D
what is the greatest common factor of 125, 50, 275
Answers
In a random sample of 55 newborn babies, what is the probability that 44% or fewer of the sample are boys. (use 3 decimal places). hint: you are asked to find p(p^^\^ < .44 ). to calculate this first find the z-score and then calculate the probability
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There are 34 animals in a farmyard. some are cows and some are chickens. in total there are 104 legs. how many chickens are there?
Answers
Using a system of equations, the number of chickens that are there is calculated as: 16.
How to find how many chickens are there using system of equations?Let's set up and solve the system of equations:
C + Ch = 34 (Total number of animals)
4C + 2Ch = 104 (Total number of legs)
Use a method like substitution or elimination to solve the system. Let's use elimination:
Multiply equation 1 by 2 to make the coefficients of 'Ch' in both equations the same:
2C + 2Ch = 68
Subtract equation 1 from equation 2:
(4C + 2Ch) - (2C + 2Ch) = 104 - 68
This simplifies to:
2C = 36
C = 18
Now that we know there are 18 cows, we can find the number of chickens using equation 1:
18 + Ch = 34
Subtract 18 from both sides:
Ch = 34 - 18
Ch = 16
So, there are 16 chickens on the farm.
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Which of the following is true for the relation f(x) = 3x2 + 5?
Only the inverse is a function.
Neither the equation nor its inverse is a function.
Only the equation is a function.
Both the equation and its inverse are functions.
Answers
Let's find the inverse of y = 3.x²+5
x= 3.y²+5 → 3.y² = x-5 and y²= (x-5)/3 and y = √[(x-5)/3]
Hence the inverse of f(x) which is f⁻¹(x) =√[(x-5)/3] is NOT a function
Only the inverse is a function.WRONG
Neither the equation nor its inverse is a function.WRONG
Only the equation is a function.RIGHT
Both the equation and its inverse are functions.WRONG
How many gallons is 15 percent of 55 gallons?
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Right trapezoid WXYZ is shown. What is the measure of angle WXY?
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Answer: [tex]107^{\circ}[/tex]
Explanation: Here, WXYZ is a quadrilateral where, \angle WZY and \angle ZYX are right angles ⇒[tex]\angle WZY=\angle ZYX =90^{\circ}[/tex]
And, [tex]\angle XWZ= 73^{\circ}[/tex]
Since, The sum of all angles of a quadrilateral is equal to 360^{\circ}
Therefore,
[tex]\angle WXY+\angle XWZ+\angle WZY+\angle ZYX =360^{\circ}[/tex]
⇒[tex]\angle WXY+73^{\circ}+90^{\circ}+90^{\circ}=360^{\circ}[/tex]
⇒[tex]\angle WXY=360^{\circ}-253^{\circ}=107^{\circ}[/tex]
Answer:
C. [tex]107^{\circ}[/tex]
Step-by-step explanation:
We have been given an image of a right trapezoid and we are asked to find the measure of angle WXY.
We can see from our given trapezoid that angle XYZ and angle WZY measures 90 degrees.
Since we know that trapezoid is a quadrilateral and sum of all angles of a quadrilateral equals [tex]360^{\circ}[/tex], so we can set an equation as:
[tex]m\angle WXY+m\angle XYZ+m\angle YZW+m\angle ZWX=360^{\circ}[/tex]
Upon substituting the given measures of our trapezoid we will get,
[tex]m\angle WXY+90^{\circ}+90^{\circ}+73^{\circ}=360^{\circ}[/tex]
[tex]m\angle WXY+253^{\circ}=360^{\circ}[/tex]
[tex]m\angle WXY+253^{\circ}-253^{\circ}=360^{\circ}-253^{\circ}[/tex]
[tex]m\angle WXY=107^{\circ}[/tex]
Therefore, the measure of angle WXY is 107 degrees and option C is the correct choice.
A clinical trial was conducted to test the effectiveness of the drug zopiclone for treating insomnia in older subjects. before treatment with zopiclone, 16 subjects had a mean wake time of 102.8 minutes. after treatment with zopiclone, the 16 subjects had a mean wake time of 98.9 minutes and a standard deviation of 42.3 minutes (based on data from cognitive behavioral therapy vs zopiclone for treatment of chronic primary insomnia in older adults," by silverstein et al., journal of the american medical association, vol. 295, no. 24). assume that the 16 sample values appear to be from a a normally distributed population and construct a 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments. what does the result suggest about the mean wake time of 102.8 minutes before the treatment
Answers
To construct a 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments, use the formula: Confidence interval = sample mean ± (critical value * standard deviation / square root of sample size).
Explanation:To construct a 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments, we can use the formula:
Confidence interval = sample mean ± (critical value * standard deviation / square root of sample size)
Given that the sample mean after treatment with zopiclone is 98.9 minutes, the standard deviation is 42.3 minutes, and the sample size is 16, we need to find the critical value for a 98% confidence level. The critical value can be found using a t-distribution table or calculator.
Once the critical value is obtained, we can plug in the values into the formula to calculate the confidence interval estimate.
If the line -4x+y=2 is tangent to the curve y=1/3x^3+c, find c
Answers
The slope of the curve is y' = x^2
So when y' = 4, x^2 = 4 and x = + or - 2
c is irrelevant as it just raises or lowers the curve in a transformation mode.
Therefore c can be any real number.
MARTIN CHARGES $10 FOR EVERY 5 BAGES OF LEAVES HE RAKES. LAST WEEKEND, HE RAKED 24 BAGES OF LEAVES. HOW MUH MONEY DID HE AERN
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Graph each line y -7 = x + 4
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We should rewrite the equation in "slope-intercept form" ; that is:
" y = mx + b " ;
______________________
in which: "y" remains an isolated variable on the "left-hand side" of the equation (with "no coefficients"—except the "implied coefficient of "1"
{since "1" , multiplied by any value, results in that same value} ;
"m" refers to the "slope" of the line;
and "m" is the coefficient of "x" ;
"b" refers to the "y-intercept" of the graphed (linear) equation; or more precisely, the value of "y" of the coordinate of the [ point on the graphed line of the equation—where the line crossed the "y-axis" ] ; that is; the "y-coordinate of the "y-intercept" ; that is, the value of "y" when "x = 0" ;
______________________________________________________
{Note that: "m" (the slope) may be a negative value; & that: "y" may be a negative value; as regard to the "slope-intercept form" equation:
that is:
"y = mx + b" . }.
______________________________________________________
So; given the equation:
______________________________________________________
" y − 7 = x + 4 " ;
______________________________________________________
Add "7" to each side of the equation;
to isolate "y" on one side of the equation;
→ {specifically, the "left-hand-side" of the equation} ;
and to rewrite the equation in "slope-intercept form" ; that is;
→ to rewrite the equation in the format:
" y = mx + b " ;
_______________________________________________________
As such: "y − 7 = x + 4 " ;
_______________________________________________________
→ Add "7" to each side of the equation:
_______________________________________________________
→ y − 7 + 7 = x + 4 + 7 ;
to get:
_______________________________________________________
→ y = x + 11 ;
_______________________________________________________
Now, let us graph the equation:
_______________________________________________________
Let us make a table:
_______________________________________________________
x ║ (x + 11) ║ y ║
_______________________________________________________
-20 ║ (-20 + 11) ║ -9 ║
-19 ║ (-19 + 11) ║ -8 ║
-18 ║ (-18 + 11) ║ -7 ║
-17 ║ (-17 + 11) ║ -6 ║
-16 ║ (-16 + 11) ║ -5 ║
-15 ║ (-15 + 11) ║ -4 ║
-14 ║ (-14 + 11) ║ -3 ║
-13 ║ (-13 + 11) ║ -2 ║
-12 ║ (-12 + 11) ║ -1 ║
-11 ║ (-11 + 11) ║ 0 ║
-10 ║ (-10+ 11) ║ 1 ║
-9 ║ (-9 + 11) ║ 2 ║
-8 ║ (-8 + 11) ║ 3 ║
-7 ║ (-7 + 11) ║ 4 ║
-6 ║ (-6 + 11) ║ 5 ║
-5 ║ (-5 + 11) ║ 6 ║
-4 ║ (-4 + 11) ║ 7 ║
-3 ║ (-3 + 11) ║ 8 ║
-2 ║ (-2 + 11) ║ 9 ║
-1 ║ (-1 + 11) ║ 10 ║
0 ║ (0 + 11) ║ 11 ║
1 ║ (1 + 11) ║ 12 ║
2 ║ (2 + 11) ║ 13 ║
3 ║ (3 + 11) ║ 14 ║
4 ║ (4 + 11) ║ 15 ║
5 ║ (5 + 11) ║ 16 ║
_________________________________________________
Now, we plot these points on a graph, and draw a line through these points; the slope is "1" ; since the equation is:
" y = x + 11 " ; Note: The slope, "m", is "1", since there is an "implied coefficient of "1" ; i.e. " y = 1x + 11 " .
___________________________________
Graph of: "y = x + 11 " ;
_____________________________________
To graph y - 7 = x + 4, rewrite the equation in slope-intercept form as y = x + 11. Plot the y-intercept at (0, 11), choose another value for x to find a second point, like (1, 12), and draw the line through these points to visualize the dependence of y on x.
Explanation:To graph the line given by the equation y - 7 = x + 4, we first need to write it in the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. So, we add 7 to both sides of the equation to get y = x + 11. This tells us the slope of the line is 1 (since for every increase by 1 in x, y increases by 1) and the y-intercept is 11 (this is where the line crosses the y-axis).
We can then plot the y-intercept on the graph by putting a point at (0, 11). To find another point, we can choose any value for x and solve for y. For example, if we choose x = 1, then y = 1 + 11 = 12, so another point on the line is (1, 12). By plotting these two points and drawing a line through them, we create the graph of the equation.
For more accurate results, plotting more points using various x values and connecting them would be ideal. This graphical representation illustrates the dependence of y on x.
What is a security deposit
Answers
In english class,each student must select 4 short stories from a list of 5 short stories to read. how many different combinations of short stories could a student read? math
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PLEASE HELP ME!
At rugby practice, a group of 8 players stands in a circle and throws the ball from one person to the next. another player is trying to run faster than the ball moves around the circle as it is thrown from one player to the next. After 24 throws, the runner is right next to the ball. If the radius of the circle is 9yd, how many yards has the runner traveled? round your answer to the nearest tenth
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Final answer:
The runner traveled approximately 45.1 yards around the circle during 24 throws at rugby practice.
Explanation:
The runner traveled approximately 45.1 yards.
To solve this, we can consider the circumference of the circle formed by the players, which is 2π times the radius. After 24 throws, the runner would have traveled a distance equivalent to 24 times the circumference of the circle.
So, the total distance the runner traveled would be 24 * (2π * 9) = 24 * 56.5487 = approximately 1357.2yd. Rounding to the nearest tenth, the runner traveled approximately 45.1 yards.
if y=9 When x= -3 find x when y=6
Answers
Answer:
fawfafw
Step-by-step explanation:
awfafafawfa