The option B is correct, The second expression gives the correct value -24.
According to the statement
we have given that the some expression and a = -2 and b = 3 and we have to which expression gives a output of answer -24 after put the values in the expressions.
So, For this purpose
First expression:
[tex]a\sqrt{16} + b - 10[/tex]
Put a = -2 and b = 3
then
[tex]= -2\sqrt{16} + 3 - 10\\= -8 -7\\= 15[/tex]
Second expression:
[tex]a(\sqrt{16} + b) -10[/tex]
Put a = -2 and b = 3
then
[tex]a(\sqrt{16} + b) -10\\-2(4 +3) -10\\-14-10\\-24[/tex]
Now,
Third expression:
[tex]a\sqrt{16} + (b - 10)[/tex]
Put a = -2 and b = 3
then
[tex]a\sqrt{16} + (b - 10)-2*4 + (-7)\\-8-7\\-15[/tex]
Now,
Fourth expression and first expression are same,
So,
Fourth expression:
[tex]a\sqrt{16} + b - 10[/tex]
Put a = -2 and b = 3
then
[tex]= -2\sqrt{16} + 3 - 10\\= -8 -7\\= 15[/tex]
The second expression gives the correct value -24.
So, The option B is correct, The second expression gives the correct value -24.
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Please answer this question
Answer:
1 and 4
Step-by-step explanation:
x-1 = 0
x = 1
x^2 - 5x + 4
(x-4)(x-1) = 0
x can't be 1 or 4
Answer: 1 and 4
Step-by-step explanation:
1. To find excluded values, we need to make the denominator equal to zero.
x² - 5x + 4 = 0
2. Then we need to find the x the product of them was 4, but they add up to -5, which are -4 and -1. We get:
(x - 4)(x - 1) = 0
x - 4 = 0 x - 1 = 0
x = 4 x = 1
These two numbers will make the denominator equal to 0, the denominator cannot be equal to 0, so they are excluded numbers.
The graph below shows a company's profit f(x), in dollars, depending on the price of erasers x, in dollars, sold by the company:
Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)
Part B: What is an approximate average rate of change of the graph from x = 1 to x = 4, and what does this rate represent? (3 points)
Part C: Describe the constraints of the domain. (3 points)
Based on the given graph relating to the company's profit f(x), the x-intercepts are (0, 0) and (0, 8) and the maximum value is 270.
What does the graph show?The x-intercepts are the points where the graph crosses the x axis. It does so at first at (0,0) and then after going up and coming down, it again intersects at (0, 8).
The maximum value the graph reaches is 270 on the y-axis.
The function is increasing at the interval, (0, 4) and decreasing from (4, 8).
What this shows is that an increase in price between 0 and 4 would lead to an increase in profit but between 4 and 8 results in profits dropping.
In part B, the average rate of change from x=1 to x =4 is:
= (270 - 120) / (4 - 1)
= 50
In part c, the constraints are:
x ≥ 0
f(x) x ≤ 8
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A company has two large computers. The slower computer can send all the company's email in 60 minutes. The faster computer can complete the same job in 15 minutes. If both computers are working together, how long will it take them to do the job?
Do not do any rounding
Minutes =
Answer:
15.25 given using both
Step-by-step explanation:
Slow com= 60 all mail
Fast clm= 15 all mail
Given both bejng used
60 min ÷ 15 min = intervall of 4 unbroken min
and
15min÷60min= 0.25
0.25mjn×60sec= 15sec
Sret =15min anfd 15 seconds/ 15.25min
Michael is an art elective programme student who
is working on an assignment. He plans to cover a
rectangular sheet of paper of dimensions 126 cm by
108 cm with identical square patterns.
(i) What is the least number of square patterns
that could be formed on the sheet of paper?
(ii) How do you determine what other shapes
can the patterns be if they are to fit the sheet of
paper perfectly? Explain your answer.
Answer:
Step-by-step explanation:
find the prime factors of given numbers:
126= 2*3*3*7- this side can be cut into any number here or combination of numbers as per factors
108= 2*2*3*3*3 - same as above
As per prime factors, the squares can be of sizes:
2×2, 3×3, 6×6, 9×9 and 18×18
The least number can be obtained with the biggest size option 18×18, this will give 7*6=42 square
find the square roots by division method of 210,681 please tell me
Answer:
459
Step-by-step explanation:
The "long division method" algorithm for square root makes use of the relation described by the square of a binomial.
(a +b)² = a² +2ab +b² = a² +b(2a +b)
StepsThe value for which the root is desired is written with digits marked off in pairs either side of the decimal point.
The initial digit of the root is the integer part of the square root of the most-significant pair. Here that is floor(√21) = 4. This is shown in the "quotient" spot above the leftmost pair. The square of this value is subtracted, and the next pair brought down for consideration. Here, that means the next "dividend" is 506.
The next "divisor" will be 2 times the "quotient" so far, with space left for a least-significant digit. Here, that means 506 will be divided by 80 + some digits. As in regular long division, determining the missing digit involves a certain amount of "guess and check." We find that the greatest value 'b' that will give b(80+b) ≤ 506 is b=5. This is the next "quotient" digit and is placed above the "dividend" pair 06. The product 5(85) = 425 is subtracted from 506, and the next "dividend" pair is appended to the result. This makes the next "dividend" equal to 8181.
As in the previous step, the next "divisor is 2 times the quotient so far: 2×45 = 90, with space left for the least significant digit. 8181 will be divided by 900-something with a "quotient" of 9. So, we subtract the product 9(909) = 8181 from the "dividend" 8181 to get the next "dividend." That result is zero, so we're finished.
The root found here is 459.
__
Additional comment
In practice, roots are often computed using iterative methods, with some function providing a "starter value" for the iteration. Some iterative methods can nearly double the number of good significant digits in the root at each iteration.
Using this "long division method," each "iteration" adds a single significant digit to the root. Its advantage is that it always works, and is generally suitable for finding roots by hand. Once the number of root digits begins to get large, the "divisor" starts to be unwieldy.
A rhombus is a four-sided figure with all sides the same length. Points F(-2,-2), G(-2, 3), and H(2, 6) are three vertices of rhombus FGHJ. Vertex J is directly below vertex H. What is the perimeter of the rhombus? Show your work.
Answer:
20
Step-by-step explanation:
The sides of the 4-sided figure are the same length, so we can find the perimeter (sum of side lengths) by multiplying one side length by 4.
Side lengthPoints F(-2, -2) and G(-2, 3) lie on the same vertical line: x = -2. The distance between them is the difference of their y-coordinates:
FG = (3 -(-2)) = 5
Each side is 5 units long.
PerimeterThe length of the four sides is ...
P = 4s = 4(5) = 20
The perimeter of the rhombus is 20 units.
Someone please help me with this question
Answer: Neither
Step-by-step explanation:
It is not an angle of the quadrilateral, so it is not an interior angle.
It does not form a linear pair with any interior angle of the quadrilateral, so it is not an exterior angle.
If 55 people enrolled in a psychology course but only 25 completed it, what percent of the students completed the course? (Round to the nearest tenth of a percent.)
Answer:
45%
Step-by-step explanation:
Simply, 25/55 which gives you 0.454545.
Convert that to a percentage and you get 45%
What is the difference? \frac{x+5}{x+2}-\frac{x+1}{x^{2}+2x}
Answer:
Step-by-step explanation:
x² + 2x = x(x + 2)
[tex]\sf \dfrac{x +5}{x + 2}-\dfrac{x+1}{x^2+2x}=\dfrac{x + 5}{x +2}-\dfrac{x+1}{x(x+2)}[/tex]
LCM = x(x+2)
[tex]\sf =\dfrac{(x+5)*x}{(x+2)*x}-\dfrac{x+1}{x(x+2)}\\\\=\dfrac{x*x + 5*x}{x^2+2x}-\dfrac{x+1}{x^2+2x}\\\\=\dfrac{x^2+5x - (x+1)}{x^2+2}\\\\=\dfrac{x^2+5x -x - 1}{x^2+2x)}\\\\=\dfrac{x^2+4x-1}{x^2+2x}[/tex]
A movie theater has a seating capacity of 331. The theater charges $5.00 for children, $7.00 for students, and $12.00 for adults. There are half as many adults as there are children. If the total ticket sales was $ 2404, How many children, students, and adults attended?
Answer:
87 adults
174 children
70 students
Step-by-step explanation:
An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so
the equation to solve is 2a + b = 15.7.
ayer/
If we recall that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side,
which lengths make sense for possible values of b? Select two options.
The value of the base b in the isosceles triangle is 3.1 inches.
According to the statement
we have given that the
equation is 2a + b = 15.7 and if one longer sides is 6.3 centimeter.
And we have to find the length of the base. Then
2a + b = 15.7
Here a is 6.3 cm then
Substitute the values in it then
2a + b = 15.7
2(6.3) + b = 15.7
After solving the equation
12.6 + b = 15.7
b = 15.7 - 12.6
Now we get the value of base b which is 3.1.
So, b = 3.1
So, The value of the base b in the isosceles triangle is 3.1 inches.
Disclaimer: This question was incomplete. Please find the full content below.
Question:
This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 can be used to find the side lengths.
If one of the longer sides is 6.3 centimeters, what is the length of the base?
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A bacteria culture starts with 260 bacteria and grows at a rate proportional to its size. After 3 hours there will be 780 bacteria.
(a) Express the population after t hours as a function of t.
population: ? (function of t)
(b) What will be the population after 3 hours?
(c) How long will it take for the population to reach 1870 ?
The solutions to the exponential growth problem are:
A. [tex]P(t) = 260e^0.3662t[/tex]
B.[tex]P(3) = 260e^0.3662(3) = 779[/tex]
C.3.367 hours
What is the formular for the exponential growth problem?The exponential growth problem obeys the equation:
P(t) = P0ekt
P0=population
time t
We can find the value of k At t=3 hours as,
780 = 260e^k(3)
k = (1/3) ln(780/260) hours-1 ≅ 0.3662 hours-1
A. [tex]P(t) = 260e^0.3662t[/tex]
B. [tex]P(3) = 260e^0.3662(3) = 779[/tex]
C. 1870 = 260e^0.3662t
To Solve for t, w2e make t the subject of the formula
t = ln(1870/260) / 0.3662 hours = 3.367 hours
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HELP PLS
Name the intersection of plane K and plane L.
Answer:
line MN
Step-by-step explanation:
If two planes intersect, then the intersection is a line.
Answer: line MN
* Let S = Span {(2,-1, 1), (3, 1, 1), (1, 2, 0)}. (i) Calculate the dimension of S.
1
2
3
9
The span of 3 vectors can have dimension at most 3, so 9 is certainly not correct.
Check whether the 3 vectors are linearly independent. If they are not, then there is some choice of scalars [tex]c_1,c_2,c_3[/tex] (not all zero) such that
[tex]c_1 (2,-1,1) + c_2 (3,1,1) + c_3 (1,2,0) = (0,0,0)[/tex]
which leads to the system of linear equations,
[tex]\begin{cases} 2c_1 + 3c_2 + c_3 = 0 \\ -c_1 + c_2 + 2c_3 = 0 \\ c_1 + c_2 = 0 \end{cases}[/tex]
From the third equation, we have [tex]c_1=-c_2[/tex], and substituting this into the second equation gives
[tex]-c_1 + c_2 + 2c_3 = 2c_2 + 2c_3 = 0 \implies c_2 + c_3 = 0 \implies c_2 = -c_3[/tex]
and in turn, [tex]c_1=c_3[/tex]. Substituting these into the first equation gives
[tex]2c_1 + 3c_2 + c_3 = 2c_3 - 3c_3 + c_3 = 0 \implies 0=0[/tex]
which tells us that any value of [tex]c_3[/tex] will work. If [tex]c_3 = t[/tex], then [tex]c_1=t[/tex] and [tex]c_2 = -t[/tex]. Therefore the 3 vectors are not linearly independent, so their span cannot have dimension 3.
Repeating the calculations above while taking only 2 of the given vectors at a time, we see that they are pairwise linearly independent, so the span of each pair has dimension 2. This means the span of all 3 vectors taken at once must be 2.
Time to use my tools
96 100 132
6 ... 4 ....6
5....7......3
21...32...?
1)32
2)20
3)25
4)30
find the missing one
Answer:
the correct answer is 25
Write the ratio 6 sodas out of 16 drinks.
Answer:
3:8 3 sodas for 8 drinks
Step-by-step explanation:
6/16
3/8
The Department of Motor Vehicles reports that the proportion of all vehicles registered in
California that are imports is 0.22.
ords
1. Is the number 0.22?
a population proportion.
a.
b. a sample proportion.
2. Which of the following use of notation is correct?
a. p=0.22
b. p=0.22
The number 0.22 represents the population proportion and the correct way to represent it is p = 0.22.
What are statistics?Statistics is a mathematical tool defined as the study of collecting data, analysis, understanding, representation, and organization. Statistics is described as the procedure of collecting data, classifying it, displaying that in a way that makes it easy to understand, and analyzing it even further.
It is given that:
It is given that:
The Department of Motor Vehicles reports that the proportion of all vehicles registered in California that are imported is 0.22.
The number 0.22 represent the population proportion.
The population proportion can be represented by the letter p:
p = 0.22
Thus, the number 0.22 represents the population proportion, and the correct way to represent it is p = 0.22.
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train travelling at a uniform speed covers a distance of 255 km in Find the speed of the train and 3 4/5 1 1/2 the distance covered in hours. hours.
The speed of the train is 150 km/hour.
The distance covered by the train in 3 4/5 hours is 570 km.
The speed of a body is calculated using the formula, speed = distance/time.
The distance covered is calculated using the formula, distance = speed*time.
The time taken by a body is calculated using the formula, time = distance/speed.
In the question, we are asked for the speed of a train, when it covers a distance of 225 km in 1 1/2 hours.
Distance = 225 km.
Time = 1 1/2 hours = 1.5 hours.
Speed = Distance/Time = 225/1.5 km/hour = 150 km/hour.
Now, we are asked to calculate the distance covered by the train in 3 4/5 hours.
Speed = 150 km/hour.
Time = 3 4/5 hours = 3.8 hours.
Distance = Speed*Time = 150*3.8 km = 570 km.
Thus, the speed of the train is 150 km/hour.
The distance covered by the train in 3 4/5 hours is 570 km.
The provided question is incorrect. The correct question is:
"A train at a uniform speed covers a distance of 225 km in 1 1/2 hours. Find the speed of the train and the distance covered in 3 4/5 hours.
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Kayla created the graph below to represent the solution to the inequality Negative 8 less-than x.
A number line going from negative 11 to negative 1. A closed circle is at negative 8. Everything to the left of the circle is shaded.
What errors did she make? Select two options.
She should have used an open circle at the end of the ray.
She should have pointed the arrow to the right.
She should have used a circle at –7 as the end of the ray.
She should have used a circle at –9 as the end of the ray.
Kayla made two errors which are as follows :-
She should have used an open circle at the end of the rayShe should have pointed the arrow to the right.How to Graph a Linear Inequality
First, graph the "equals" line, then shade in the correct area.
There are three steps:
Rearrange the equation so "y" is on the left and everything else on the right. Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)Shade above the line for a "greater than" (y> or y≥)
or below the line for a "less than" (y< or y≤).
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Find a potential function for the vector field
The answers to the question are given as x²y + 24x +16y and 87
How to solve for the potential function of the vector field
(2xy + 24, x² + 16)
We have to check in order to be sure that the vector that we have here is a gradient field
we have fx = 2xy + 24 and fy = x² + 16
Such that we would have x²y + 24x +g(y)
for f(y) g' = 16 = 16 + c
Given that there is no lose of generality, we are going to have the following where
x²y + 24x +16y
b. We have to solve this oart by making use of the fundamental theory of integrals
f2,4 = 4*4 + 24*2 + 16*4
= 16 + 48 + 64
= 128
f1,1 = 1*1 + 24*1 + 16*1
= 1 + 24 + 16
= 41
128 - 41 = 87
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To heat up an undetermined volume of water from 20 degrees to 50 degrees takes 5 minutes. What is the heating factor of the element used to heat up water?
Answer:
Step-by-step explanation:
deleted
Heat Factors are determined by the location-specific average daily high and low temperatures during the warmest month of the year.
What is heat?According to thermodynamics, heat is a type of energy that crosses a thermodynamic system's border due to a temperature differential across the barrier. In a thermodynamic system, heat is not present.
But the phrase is also frequently used when referring to the thermal energy that makes up a system's internal energy and is reflected in the system's temperature. Heat is a type of energy in both senses of the word. Heat Factors are determined by the location-specific average daily high and low temperatures during the warmest month of the year.
Therefore, heat Factors are determined by the location-specific average daily high and low temperatures during the warmest month of the year.
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Find the value of x.
The value of x from the given circle is 4
What is intersecting chord theorem?The intersecting chords theorem is a statement in geometry that describes a relation of the four line segments created by two intersecting chords within a circle.
It states that the products of the lengths of the line segments on each chord are equal.
According to the theorem;
x * 3 = 2 * (4 + 2)
3x = 2(6)
3x = 12
Divide both sides by 3
3x/3 = 12/3
x =4
Hence the value of x from the given circle is 4
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H2 Worksheet #8
Complete the table for the following rule
y = 2x + 2.
X
1
3
9
10
y
A1
Answer:
It's easy to solve the problem.
let's start...
given equation:- y = 2x+2
X y
1 (2× 1 )+ 2 = 4 .
3 (3×2)+2 = 8 .
9 (9×2) + 2 = 20 .
10. (10× 2)+2 = 22 .( table completed)
just put the value of X in the expression.
After finishing the prep work, Gilberta and María start removing wallpaper at the same time. Gilberta removes the paper at a constant rate of
4.3
m
2
4.3m
2
4, point, 3, start text, m, end text, squared per hour, while María removes
3.4
m
2
3.4m
2
3, point, 4, start text, m, end text, squared of paper per hour. Gilberta's room starts with
35
m
2
35m
2
35, start text, m, end text, squared of paper, and María's room starts with
30.5
m
2
30.5m
2
30, point, 5, start text, m, end text, squared of paper.
Let
t
tt represent the time, in hours, since Gilberta and María start removing the wallpaper.
Complete the inequality to represent the times when Gilberta has more wallpaper left in her room than María has in hers.
t
tt
select inequality symbol
hours
Show Calculator
Using linear functions, the inequality that represents when Gilberta has more wallpaper left in her room than María has in hers is: t < 5.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For this problem, we consider:
The initial amount as the y-intercept.The rate as the slope.Hence the amounts Gilberta and Maria have left after t hours are given by:
G(t) = 35 - 4.3t.M(t) = 30.5 - 3.4t.Gilberta has more papers when:
G(t) > M(t).
Hence:
35 - 4.3t > 30.5 - 3.4t
-0.9t < -4.5
Multiplying by -1:
0.9t < 4.5
t < 4.5/0.9
t < 5.
Hence the inequality is:
t < 5.
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Answer:
t < 5
Step-by-step explanation:
Other dude is right but here's the version without explanation
What is the behavior of the graph y=−x6−6x5+50x3+45x2−108x−108 at each of its zeros
The behavior of the graph with the equation y=x66x5+50x3+45x2108x108 at each of its zeros will be as follows: two of them will resemble a quadratic function, while one of them will resemble a linear function.
This is further explained below.
What is a graph?Generally, a diagram that illustrates the relationship between variable quantities, usually consisting of two variables, with each variable being measured along one of a pair of axes that are intersected at right angles.
In conclusion, At each of its zeroes, the graph y=x66x5+50x3+45x2108x108 will exhibit one linear behavior and two behaviors that resemble quadratic functions.
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A sprinkler is set to water the backyard flower bed. The stream of water and where it hits the ground at the end of the stream can be modeled by the quadratic equation −2+14+61=0 − x 2 + 14 x + 61 = 0 where x is the distance in feet from the sprinkler. What are the two solutions in exact form?
The solutions to the quadratic equation of the sprinkler in the exact form are x = 7 + 2√110 and x = 7 - 2√110
What are quadratic equations?Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k
How to determine the solution to the quadratic equation?A quadratic equations can be split to several equations and it can be solved as a whole
In this case, the quadratic equation is given as
-x^2 + 14x + 61 = 0
Using the form of the quadratic equation y = ax^2 + bx + c, we have
a = -1, b = 14 and c = 61
The quadratic equation can be solved using the following formula
x = (-b ± √(b^2 - 4ac))/2a
Substitute the known values of a, b and c in the above equation
x = (-14 ± √(14^2 - 4*-1*61))/2*-1
Evaluate the exponent
x = (-14 ± √(196 - 4*-1*61))/2*-1
Evaluate the products
x = (-14 ± √(196 + 244))/-2
Evaluate the sum
x = (-14 ± √(440))/-2
Express 440 as 4 * 110
x = (-14 ± √(4 * 110))/-2
Take the square root of 4
x = (-14 ± 2√110)/-2
Evaluate the quotient
x = 7 ± 2√110
Split the equation
x = 7 + 2√110 and x = 7 - 2√110
Hence, the solutions to the quadratic equation of the sprinkler in the exact form are x = 7 + 2√110 and x = 7 - 2√110
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Study the spinner below. If wedges 2 and 5 are each twice the area of one of
the other wedges, what is the likelihood of landing on 2 or 3?
Using the probability concept, the likelihood of landing on 2 or 3 is given by:
[tex]p = \frac{3}{8}[/tex]
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Researching this problem on the internet, considering the areas of 2 and 5 counting twice, the spinner has 8 areas, out of which 3 are 2 or 3, hence the probability is given as follows:
[tex]p = \frac{3}{8}[/tex]
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f(x) = x². What is g(x)?
5
g(x)
A. g(x)=x²-4
OB. g(x)=x2-4
C. g(x)=-4x2²
OD. g(x)=x²+4
+
f(x)=x²
The function f(x) = x² then the required function exists g(x) = -x²- 4.
What is a function?The function exists described as y = f(x).
In mathematics, a function from a set X to a set Y allocates to each element of X exactly one element of Y. The set X exists named the domain of the function and the set Y exists named the codomain of the function. Functions stood originally for the idealization of how a variable quantity relies on another quantity.
For every x there exists a certain value of y.
From the graph g(x) exists reflection of f(x) at y = -4.
So g(x) = -f(x) - 4, the negative sign for reflection.
g(x) = -x² - 4
The required function exists g(x) = -x² - 4.
Therefore, the correct answer is option D. g(x) = -x² - 4.
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The complete question is:
F(x) = x². What is g(x)?
A. g(x) = x² - 4
B. g(x) = x² + 4
C. g(x) = -4x²
D. g(x) = -x² - 4
A closed box with a square base is to have a volume of 16000 cubic centimeters. The material
for the top and bottom of the box costs $3 per square centimeter while the material for the sides
costs $1.50 per square centimeter. Find the dimensions of the box that will minimize the total
cost of materials. What is the minimum total cost?
The most suitable measurements for a box with a square base are 5cm (width) x 5cm (length) x 640cm (height). This box would be worth $4875
How to calculate the minimum value of the box?To find the minimum value of a box that must have a square base and 16000 cm³, we must try different measurements to find the variable that represents the least value.
In this case, the variable that represents less value is a base of 5cm x 5cm and a height of 640cm. This means that the box would be worth $4875 as shown below.
Base
5cm × 5cm = 25cm²25cm² x 3 = $75Sides
5cm × 640cm = 3200cm²3200cm² × $1.50 = $4800$4,800 + $75 = $4,875Additionally, we can check that the volume of the box is the required 16000cm³, as shown below:
5cm × 5cm × 640cm = 16000cm³Learn more about cubic centimeters in: https://brainly.com/question/9740005
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Question 3 Now change the central angle, ∠CAB, and see how it affects the inscribed angle, ∠CDB. To do this, move point B around the circle without crossing points D and C, and do the same for point C without crossing points B and D. Record five data sets for m∠BAC and m∠BDC in the table.
ANSWER FAST!
By changing the central angle, ∠CAB, the inscribed angle, ∠CDB has the following data sets:
m∠BAC (β) m∠BDC (α)
42° 84°
40° 80°
45° 90°
35° 70°
52° 104°
What is a circle?A circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Also, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).
In Geometry, a circle is considered to be a conic section which is formed by a plane intersecting a double-napped cone that is perpendicular to a fixed point (central axis) because it forms an angle of 90° with the central axis.
What is the inscribed angle theorem?The inscribed angle theorem states that the measure of an inscribed angle is one-half the measure of the intercepted arc in a circle. Thus, this is given by this mathematical expression:
m∠BDC = ½ × m∠BAC.
For this exercise, we would change the central angle, ∠CAB, so that the inscribed angle, ∠CDB can have the following data sets:
m∠BAC (β) m∠BDC (α)
42° 84°
40° 80°
45° 90°
35° 70°
52° 104°
Read more on inscribed angle here: https://brainly.com/question/3538263
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Answer:
plato
Step-by-step explanation:
m∠BAC m∠BDC
50° 25°
70° 35°
90° 45°
125° 62.5°
150° 75°
