The value of the angle c will be 50°. Option C is correct.
What is angle measurement?An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).
If the two line segment intersects at each other the angle formed by the intersecting lines will be the same.
From the given digrame,∠x =50°
Hence option C is correct.
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What is the slope of the line x=3
Answer: The slope is infinite
Step-by-step explanation:
An infinite slope is simply a vertical line. When you plot it on a line graph, an infinite slope is any line which runs parallel to the y-axis. You can also describe this as any line that doesn't move along the x-axis but stays fixed at one constant x-axis coordinate, making the change along the x-axis.
How do you write intervals of increase and decrease?
For a real-valued function f, it is said that the interval's value increases for every x and y where f (x) f (y) (x). and the interval is referred to as declining if its value is f (x) f (y) for every x y.
What is meant by intervals?An interval is described numerically in mathematics. An interval is any set of numbers that fall between two distinct integers.This range includes all real values that fall between those two. Any kind of number you can think of exists.The distance between the upper and lower class limits is known as the class interval. For instance, the first class's class interval is 30 - 26 = 4, which is a size of 4. Similar to the first class, the second class's class interval measures 31 minus 35, or 4. A range of numbers between two given numbers that contains all of the real numbers in that range is known as an interval.To learn more about intervals, refer to:
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about ____ of the possible outcomes occur within one standard deviation of the mean\
Answer:
68%
Step-by-step explanation:
In normal distribution, the empirical rule (aka 68-95-99.7 rule) describes the approximate proportion of data that falls within certain distances from the mean of a normal distribution. Specifically, the rule states that:
About 68% of the data falls within one standard deviation of the mean.About 95% of the data falls within two standard deviations of the mean.About 99.7% of the data falls within three standard deviations of the mean.A triangle has 3 angles. The measure of angle 1 is 89 degrees. The measure of angle 2 is 36 degrees. What is the measure of the third angle?
Find an equation of the line perpendicular to the line 3x+6y=5 and passing through the point (1,3). Write the equation in the standard form.
The standard form of the equation of a line perpendicular to the line (3x + 6y = 5) and passing through the point (1, 3) is (2x - y = -1)
To determine the equation of a line perpendicular to the line (3x + 6y = 5) and passing through the point (1, 3), we can follow these steps:
1. Obtain the slope of the provided line.
To do this, we rearrange the equation (3x + 6y = 5) into slope-intercept form (y = mx + b):
6y = -3x + 5
y =\(-\frac{1}{2}x + \frac{5}{6}\)
The slope of the line is the coefficient of x, which is \(\(-\frac{1}{2}\)\).
2. Determine the slope of the line perpendicular to the provided line.
The slope of a line perpendicular to another line is the negative reciprocal of the slope of the provided line.
So, the slope of the perpendicular line is \(\(\frac{2}{1}\)\) or simply 2.
3. Use the slope and the provided point to obtain the equation of the perpendicular line.
We can use the point-slope form of a line to determine the equation:
y - y1 = m(x - x1)
where x1, y1 is the provided point and m is the slope.
Substituting the provided point (1, 3) and the slope 2 into the equation, we have:
y - 3 = 2(x - 1)
4. Convert the equation to standard form.
To convert the equation to standard form, we expand the expression:
y - 3 = 2x - 2
2x - y = -1
Rearranging the equation in the form (Ax + By = C), where A, B, and C are constants, we obtain the standard form:
2x - y = -1
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Explain the error in Julie’s work in rewriting the radical expression.
Answer:
The negative numbers do not have square roots. Therefore the question does not have a solution. That is where Julie made a mistake.
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
First, let's take a look at this property:
\( \displaystyle \large{ \sqrt{a} \sqrt{b} = \sqrt{ab} }\)
This only works for a and b ≥ 0.
As for a & b < 0 which results in Imaginary Number, we have to convert in 'i' form.
We know that:-
\( \displaystyle \large{ i = \sqrt{ - 1} }\)
Thus:
\( \displaystyle \large{ \sqrt{ - 3} \cdot \sqrt{ - 12} = \sqrt{3} i \cdot \sqrt{12}i }\)
Then we can multiply 12 & 3 in square root.
\( \displaystyle \large{ \sqrt{ - 3} \cdot \sqrt{ - 12} = \sqrt{36} {i}^{2} }\)
We know that:
\( \displaystyle \large{ {i}^{2} = - 1}\)
Convert i^2 to -1
\( \displaystyle \large{ \sqrt{ - 3} \cdot \sqrt{ - 12} = \sqrt{36}( - 1) } \\ \displaystyle \large{ \sqrt{ - 3} \cdot \sqrt{ - 12} = - \sqrt{36}}\)
Then evaluate √36 which is 6.
\( \displaystyle \large{ \sqrt{ - 3} \cdot \sqrt{ - 12} = - 6}\)
Therefore the answer should be -6.
Conclusion
Julie cannot use the √a√b = √ab property first because a & b both are < 0 and the property applies for a ≥ 0, b ≥ 0.
Can someone help me with this?
Mai  Drew does design shown below each rectangle in the design have the same area each rectangle is a what fraction of the area of the complete design 
Answer:
1/3
Step-by-step explanation:
There are 3 rectangles, so 1 rectangle is 1 out of 3 rectangles. So the fraction would be 1/3.
Each rectangle is 1/3 fraction of the complete design.
What are Fractions?Fractions are type of numbers which are written in the form p/q, which implies that p parts in a whole of q.
Here p, called the numerator and q, called the denominator, are real numbers.
Given is a design drawn by Mai.
The design consists of three rectangles.
Also, given that each of the rectangle has the same area.
This means that if we find one of the rectangle's area, multiply it by 3 and we will get the whole area.
Or in other words, if we find the whole area, then divide it by 3 to get each of the rectangle's area.
So the required fraction is 1/3.
Hence the fraction is 1/3.
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1+ r/9= 4 Find what the variable r equals
Answer:
9+r/9Step-by-step explanation:
\(1+ 9r\)
To add or subtract expressions, expand them so their denominators are the same. Multiply 1 by 99
\(\frac{9}{9} +\frac{r}{9}\)
Since 99and 9 have the same denominator, add their numerators to add them together.
\(\frac{9+r}{9}\)
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How is the sign for PI ???
Answer:
its this symbol
Step-by-step explanation:
Solve 4k−16
the solution is __
2. graph the solution.
why is paying back along with a nominal interest rate of 13.62% if the interest is compounded quarterly, how much greater is white effective interest rate than his nominal interest rate
The required white effective interest rate is 0.71% more than his nominal interest rate.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
Here,
White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent
So
Difference in interest = 14.33%-13.62%
=0.71%
Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.
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im need help please!!!
Answer:
The measure of the missing angle is 61
Step-by-step explanation:
Using the Consecutive Interior Angles theorem, you know that the angles are supplementary (meaning both angles combine to a 180* plane). Using that logic, you may subtract 119 from 180, and you get a 61* angle.
Solve the problem using system of equations -
System 1: 15x + 5y = 2
System 2: -3x = y + 6
Answer:
It would be no solution.
PLSSS HELPPPPP
On the following number line, point C represents the integer -1. Identify the integer that each of the other letters represent.
A:
B:
D:
E:
Answer: B is 0 A is 1 D 2 E 3
Step-by-step explanation:
Answer:
a: 1
b: 0
d:2
e:3
Step-by-step explanation:
Since you already know that C is -1, you can add or subtract along the numberline by ones to get the values of each letter
HELP ME PLEASE I NEED HELP
The domain for the function in this problem is given as follows:
0 ≤ x ≤ 5.
How to obtain the domain and range of a function?The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.The range of a function is defined as the set containing all the values assumed by the dependent variable y of the function, which are also all the output values assumed by the function.The domain of the function in this problem is the number of hours, which is represented by numbers between 0 and 5, as the hours cannot be negative and they played for 5 hours, hence the interval is given as follows:
0 ≤ x ≤ 5.
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Which of these linear equations best describes the given model?
Answer:
it's not in a straigt line so ne
Step-by-step explanation:
CaN YOu HeLP Me PleAse????????
Answer:
Triangle Exterior Angle Theorem
Step-by-step explanation:
The following table shows the number of candy bars bought at a local grocery store and the
total cost of the candy bars:
Candy Bars: 3, 5, 8, 12, 15, 20, 25
Total Cost: $6.65, $10.45, $16.15, $23.75, $29.45, $38.95, $48.45
If B represents the number of candy bars purchased and C represents the total cost of the candy bars, write the linear model that models the cost of any number of candy bars.
The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95
To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.
Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.
To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.
First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):
m = (C2 - C1) / (B2 - B1)
= ($48.45 - $6.65) / (25 - 3)
= $41.80 / 22
≈ $1.90
Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):
b = C - mB
= $6.65 - ($1.90 * 3)
= $6.65 - $5.70
≈ $0.95
Therefore, the linear model that represents the cost of any number of candy bars can be written as:
C = $1.90B + $0.95
This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.
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You invest ten thousand dollars in an account that pays eight percent APR compounded monthly. After how many years will the account have twenty thousand dollars.
As a result, it will take roughly 10.24 years for the account to reach $20,000 in value.
what is percentage ?As a quarter of 100, a number can be expressed as a percentage. It is frequently used to describe distinctions or express changes in numbers. The symbol for percentages is %, and they are frequently utilized to describe ratios, rates, and certain other numerical connections. An 80 percent score on a test, for instance, indicates that the student correctly answered 80 of the 100 questions. Similar to this, if a retailer were offering a 20% discount on a $100 item, the sale price would be $80.
given
With P = 10000, r = 0.08 (8% stated as a decimal), n = 12 (compound monthly), and t to be found when A = 20000, the situation is as follows.
When these values are added to the formula, we obtain:
\(20000 = 10000(1 + 0.08/12)^(12t) (12t)\)
By multiplying both sides by 1000, we obtain:
\(2 = (1 + 0.08/12)^(12t) (12t)\)
When we take the natural logarithm of both sides, we obtain:
ln(2) = 12t ln(1 + 0.08/12)
When we multiply both sides by 12 ln(1 + 0.08/12), we obtain:
t = ln(2) / (12 ln(1 + 0.08/12))
Calculating the answer, we discover:
10.24 years is t.
As a result, it will take roughly 10.24 years for the account to reach $20,000 in value.
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Mrs. Rogers sold 49 out of 78 crafts at the fair. What percent of her crafts did she sell? Show your
proportion or equation set-up.
Answer:
62.8, 63% if you around it off.
Step-by-step explanation: Do 49 Divided by 78, then times it by 100 to get your percentage. I just rounded it off to the nearest tenth and whole number just in case. Hope this helped!
The monthly texting plan of All Star Cell is $11 per month and $0.25 per text. The monthly texting plan of Top Line Cell is $14 per month and $0.15 per text. A student wants to set up a system of equations to find the number of texts for which the total monthly cost of the two companies is the same. He uses the variables x and y. He lets y represent the total monthly cost. What will x represent? x = number of texts x = cost of the total number of texts x = total monthly cost x = cost of each text
Answer:
Your answer is A. x = number of texts
Step-by-step explanation:
I took the quiz, it's correct
Good luck
Answer:
Your answer is A. x = number of texts
Step-by-step explanation:
Have a great day!
HELP HELP HELP I WILL BRAINLIEST U
Answer:
2x+3y-(-4x+3y)=6-12
2x+3y+4x-3y. =-6
6x. = -6
X=-1
no
Answer:
No
Step-by-step explanation:
So, lets go over what we know:
Our x and y values are (0,2)
This means:
x=0
y=2
Lets plug these in for each equations:
2x+3y=6
=
2(0)+3(2)=6
=
0+6=6
=
6=6
So thie first equation is correct.
But we dont know if the second one will check out yet!
Lets plug our values in once more, only on the second equation instead of the first:
-4x+3y=12
=
-4(0)+3(2)=12
0+6=12
6=12
Uh oh...Thats not right.
So this means that (0,2) is not a solution to both equations.
Answer:
No
Hope this helps! :D
In testing for differences between the means of two (2) related populations where the
variance of the differences is unknown, the degrees of freedom are
a. n - 1
b. n1 + n2 - 1
c. n1 + n2 - 2
d. n - 2
The formula for the degrees of freedom is as follows: df = n1 + n2 - 2where n1 and n2 are the sample sizes of the two populations. Therefore, the correct answer is c. n1 + n2 - 2.
In testing for differences between the means of two related populations where the variance of the differences is unknown, the degrees of freedom are n1 + n2 - 2.The degrees of freedom are very important in statistics, as they tell you how much you can trust your results. The degrees of freedom are related to sample size and are used in various statistical tests, including t-tests and chi-square tests. In this particular case, we are interested in testing for differences between the means of two related populations where the variance of the differences is unknown.In this case, we use a t-test to compare the means of the two populations. The formula for the t-test is as follows:t = (x1 - x2) / (s / √n)where x1 is the mean of the first population, x2 is the mean of the second population, s is the standard deviation of the differences between the two populations, and n is the sample size.
In order to calculate the t-value, we need to know the degrees of freedom. The formula for the degrees of freedom is as follows:df = n1 + n2 - 2where n1 and n2 are the sample sizes of the two populations. Therefore, the correct answer is c. n1 + n2 - 2.
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Find the value of x, y, and z.
Round to the nearest tenth if needed.
Please help me
Answer:
x = 26.5
y = 12.0
z = 13.4
Step-by-step explanation:
✔️To find x, apply the leg rule, which is:
Hypotenuse/leg = leg/part
Hypotenuse = 30
Leg = x
Part = 30 - 6 = 24
Plug in the values into the equation
30/x = x/24
Cross multiply
x² = 30*24
x² = 720
x = √720
x = 26.5 (nearest tenth)
✔️Apply the triangle altitude theorem to find y:
Based on the theorem, h = √(ab)
Where,
a = 6
b = 30 - 6 = 24
h = y
Plug in the values
y = √(6*24)
y = √144
y = 12
✔️Apply the leg rule, Hypotenuse/leg = leg/part to find z:
Hypotenuse = 30
Leg = z
Part = 6
Plug in the values into the equation
30/z = z/6
Cross multiply
z² = 30*6
z² = 180
z = √180
z = 13.4 (nearest tenth)
how do i answer this?
The answer of the number simplified in scientific notation is 1 × 10¹.
What is scientific notation of numbersScientific notation is a way of expressing very large or very small numbers using powers of 10. In scientific notation, a number is written as a coefficient multiplied by 10 raised to an exponent.
(2 × 10⁻³)/(2 × 10⁻⁴) = 2¹⁻¹ × 10⁻³⁻⁽⁻⁴⁾
(2 × 10⁻³)/(2 × 10⁻⁴) = 2¹⁻¹ × 10⁻³⁺⁴
(2 × 10⁻³)/(2 × 10⁻⁴) = 2⁰ × 10¹
(2 × 10⁻³)/(2 × 10⁻⁴) = 1 × 10¹ {numbers to the power of zero is equal to 1}
Therefore, the answer of the number simplified in scientific notation is 1 × 10¹.
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why does grim say that max is lucky? question 12 options: he won a hundred dollars he doesn't have to go to school in the fall he lives with gram and grim most people never have a good friend like kevin
The reason grim say that max is lucky is that most people never have a good friend like Kevin.
What was Grim say about Max ?Grim tells Max that he is fortunate to have had a good friend who helped him realize he was intelligent and improved his self-esteem. Max concurs that Grim should get a firearm. Grim admits that he may, but Gram won't be made aware of it. Grim is devastated by the idea because he would never lie to Gram.
Max assures him that he would keep Grim's identity a secret and that he will remain indoors for the upcoming days.
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use l'hospital's rule to find the exact value of the limit. lim x→[infinity] (1+ 6/x)^x
The exact value of the limit is 6.
How to find the exact valueTo find the exact value of the limit using l'Hôpital's Rule, we must first take the derivative of the numerator and denominator of the expression.
Numerator: (1 + 6/x)x
Derivative of numerator: x(1 + 6/x)x-1(6/x2)
Denominator: x
Derivative of denominator: 1
Now we can use l'Hôpital's Rule and take the limit of the new expression:
lim x→[infinity] x(1 + 6/x)x-1(6/x2) / 1
lim x→[infinity] (1 + 6/x)x-16/x
lim x→[infinity] 6
lim x→[infinity] 6 = 6
Therefore, the exact value of the limit is 6.
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a cylinder has a base diameter of 10 inches and a height of 19 inches. what is it's volume in cubic inches, to the nearest tenths place? show all work and explain please !
Answer:
1492.26in
Step-by-step explanation:
If arc QT = (27x + 3) arc RT = (9x – 5) and RST = (102 – 2) find arc RT.
Answer:
Step-by-step explanation:
x = 6
arc RT = 49°
What is tangent?"It is a line that intersects the circle exactly at one point."
What is secant?"It is a line that intersects circle at two points."
For given example,
arc QT = (27x + 3)°
arc RT = (9x – 5)°
∠RST = (10x – 2)°
From figure we can observe that line ST is tangent and line SQ is secant.
∠RST is the angle subtended by tangent ST and secant SQ
We know, the angle subtended by the tangent and the secant is half the difference of the measures of the intercepted arcs.
⇒ ∠RST = (QT - RT)/2
⇒ 10x - 2 = [(27x + 3) - (9x - 5)] /2
⇒ 2(10x - 2) = 27x + 3 - 9x + 5
⇒ 20x - 4 = 18x + 8
⇒ 20x - 18x = 8 + 4
⇒ x = 6
So, arc RT would be,
⇒ 9x - 5 = 9(6) - 5
⇒ 9x - 5 = 49°
Therefore, arc RT = 49°
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