The first step is to copy a segment and an angle, and the second step is to fix the width of the compass to the length of the segment. Then last, draw a perpendicular line.
What is geometry?
Geometry is a branch of mathematics that deals with the study of spatial relationships, shapes, sizes, positions, and dimensions of objects. It involves the study of points, lines, angles, planes, curves, surfaces, and solids, and how they relate to each other in space.
According to the given information:
Considering that, we must define the first stage, which is the process of copying a line segment in order to ensure that the new line segment is the same length as the original line segment. In a first stage, an angle and a segment must be replicated. The illustration depicts the copying construction.
The compass width must then be changed to match the section length. The new angle is now commensurate with the old angle. This is the following step.
The next step is to draw a perpendicular line. It is shown here how to draw a line perpendicular to the specified line across a point.
As a result, the first step is to copy a segment and an angle, and the second step is to set the width of the compass to the length of the segment. Then last, draw a perpendicular line.
To know more about geometry visit :
brainly.com/question/8942537
#SPJ1
Triangle ABC is dilated to create triangle A'B'C'. If AB=12 and A'B'=9, what is the scale factor of the dilation?
If the side AB=12 and side A'B'=9, then the scale factor of the dilation is 3/4.
The "Scale-Factor" of a dilation is the ratio of the corresponding side lengths of the two similar figures.
In this case, we can find the scale factor by dividing the length of side A'B' by the length of the corresponding side AB:
So, scale factor = A'B'/AB,
Substituting the values,
We get,
Scale factor = 9/12,
Scale Factor = 3/4,
Therefore, the scale factor of the dilation is 3/4. This means that all corresponding side lengths of the dilated triangle A'B'C' are 3/4 of the length of the corresponding side lengths of the original triangle ABC.
Learn more about Scale Factor here
https://brainly.com/question/30948953
#SPJ1
need help please
here is the picture is about Row Ops
The result of adding -3 (row 1) to row 2 is determined as (0 10) |-14.
What is the result of the row multiplication?The resultant of the row multiplication in the Matrice is calculated by applying the following method;
row 1 in the given matrices = [1 -4] | 8
To multiply row1 by -3, we will multiply each entity by 3 as shown below;
= -3(1 -4) | 8
= (-3 12) | -24
To add the result to 3;
(-3 12) | -24 + (3 -2)|10
= (0 10) |-14
Thus, the result of the row multiplication is determined by multiplying each entry in row 1, by - 3.
Learn more about row multiplication here: https://brainly.com/question/31531585
#SPJ1
Miguel is 3 years older than Katrice. In 9 years the sum of their ages will be 51. How old is Miguel now?
PLEASE HELP ME!
LaNiyah uses 2 eggs to make brownies, 3 eggs to make a cake, and 6 eggs to make a soufflé. In all, she has one gross of eggs (that’s 144 eggs). If she only makes brownies and soufflés and she uses all the eggs, write an equation to model the eggs used.
An equation that models the eggs used by LaNiyah is 2b + 6s = 144.
What is an equation?An equation is a mathematical statement that shows that two or more mathematical expressions are equal or equivalent.
Equations contain the equal symbol (=), unlike mathematical expressions that combine variables with numbers, and constants using mathematical operands only.
The number of eggs used to make brownies per unit = 2
The number of eggs used to make cakes per unit = 3
The number of eggs used to make soufflés per unit = 6
The total number of eggs used = 144
Let the total number of brownies made = b
Let the total number of soufflés made = s
Equation:2b + 6s = 144
Learn more about equations at brainly.com/question/2972832.
#SPJ1
A sixth-grade class collected data on the number of letters in the first names (name lengths) of all the students in class. Here is the dot plot of the data they collected:
How many students are in the class?
Based on the data displayed in the dot plot, it can be concluded there are 25 students in this class.
How to know the number of students based on the dot plot?Dot plots represent data and trends but using dots. In these types of graphs, each individual is represented with a dot. For example, in the number 3, we can see there are 3 dots, which means three students have a first name made of three letters.
Therefore, you can get the total of students by counting all the dots. Based on this, there are 25 students in this class.
Learn more about dot plots in https://brainly.com/question/22746300
#SPJ1
Find each of the following probabilities for a normal distribution.
a. p(z > 1.25)
b. p(z > –0.60)
c. p(z < 0.70)
d. p(z < –1.30)
The solution is: the following probabilities for a normal distribution is:
a. 0.5434
b. 0.5746
c. 0.2957
d. 0.0902
Here, we have,
Explanation:
To find each probability we need to use the normal distribution table that is accumulated to the left, so each probability is equal to
P(-1.80 < z < 0.20) = P( z < 0.20) - P( z < -1.80)
P(-1.80 < z < 0.20) = 0.5793 - 0.0359
P(-1.80 < z < 0.20) = 0.5434
P(-0.40 < z < 1.40) = P( z < 1.40) - P( z < -0.40)
P(-0.40 < z < 1.40) = 0.9192 - 0.3446
P(-0.40 < z < 1.40) = 0.5746
P(0.25 < z < 1.25) = P(z < 1.25) - P(z < 0.25)
P(0.25 < z < 1.25) = 0.8944 - 0.5987
P(0.25 < z < 1.25) = 0.2957
P(-0.90 < z < -0.60) = P(z < -0.60) - P(z < -0.90)
P(-0.90 < z < -0.60) = 0.2743 - 0.1841
P(-0.90 < z < -0.60) = 0.0902
Therefore, the answers are, the following probabilities for a normal distribution is:
a. 0.5434
b. 0.5746
c. 0.2957
d. 0.0902
To learn more on probability click:
brainly.com/question/11234923
#SPJ1
I really need help please
Valid row operations are:
6R₁+ R₂ → R₃-(1/2) R₁ → R₁R₁ ↔ R₂R₁ ÷ 2 → R₁2R₂ → R₂-1R₃+ R₂ → R₂2R₁ → R₂R₁ + R₂ → R₂What are invalid row operations?Invalid row operations are:
0R₁ → R₁ (this is equivalent to multiplying a row by zero, which is not a valid row operation)
R₃ ÷ 0 → R₃ (division by zero is undefined)
-2 ÷ R₁ → R₁ (division by a variable is not a valid row operation)
2R₁ + R₂ → R₂ (the row operation should be adding multiples of one row to another row, not a combination of multiple rows)
Find out more on valid row operations here: https://brainly.com/question/26320234
#SPJ1
Please solve this quickly!!!!
The sum expression [tex][2(4 + \frac9n)^4](\frac9n) + ... + [2(4 + \frac{9n}n)^4](\frac9n)[/tex] using the sigma notation is [tex]\sum\limits^{n}_{i=1} [2(4 + \frac{9i}n)^4](\frac9n)[/tex]
Writing the sum using the sigma notationFrom the question, we have the following parameters that can be used in our computation:
[tex][2(4 + \frac9n)^4](\frac9n) + ... + [2(4 + \frac{9n}n)^4](\frac9n)[/tex]
From the above expression, we can see that the different expression in each term is
9/n
So, we introduce a variable
Assuming the variable is i, the i-th term of the expression would be[tex]t(i) = [2(4 + \frac{9i}n)^4](\frac9n)[/tex]
When represented using the sigma notation, we have
[tex]\sum\limits^{n}_{i=1} [2(4 + \frac{9i}n)^4](\frac9n)[/tex]
Hence, the sum expression using the sigma notation is [tex]\sum\limits^{n}_{i=1} [2(4 + \frac{9i}n)^4](\frac9n)[/tex]
Read more about summation notation at
https://brainly.com/question/15973233
#SPJ1
Find the value of linear correlation coefficient r (statistics)
Answer:
r=1
Step-by-step explanation:
The Pearson correlation coefficient is used to measure the strength of a linear association between two variables, where the value r = 1 means a perfect positive correlation and the value r = -1 means a perfect negataive correlation. So, for example, you could use this test to find out whether people's height and weight are correlated (they will be - the taller people are, the heavier they're likely to be).
9. Which of the following functions represents a vertical shift of the function f(x) = x? a. f(x) = 2x b. f(x) = x + 5
c. f(x) = x2 d. none of the above 9.____________________
10. Which of the following functions represents a horizontal shift of the function f(x) = x2?
a. f(x) = (x+2)2 b.f(x) = 3x2
c. f(x) = x2 + 2 d. none of the above
b. f(x) = x + 5, which represents a vertical shift of 5 units upwards. f(x-a) = (x-a)^2, where a is a constant.
How to find the functions that represents a vertical shift9) The function f(x) = x represents a linear function with a slope of 1 and y-intercept of 0. To shift the graph vertically, we need to add or subtract a constant from the function. Thus, the function that represents a vertical shift of f(x) = x would be of the form f(x) = x + b, where b is a constant.
Out of the given options, the correct answer is b. f(x) = x + 5, which represents a vertical shift of 5 units upwards.
10) To shift the graph of f(x) = x^2 horizontally, we need to add or subtract a constant inside the function, affecting the position of the vertex of the parabola. Thus, the function that represents a horizontal shift of f(x) = x^2 would be of the form f(x-a) = (x-a)^2, where a is a constant.
Out of the given options, the correct answer is a. f(x) = (x+2)^2, which represents a horizontal shift of 2 units to the left.
Learn more about function at https://brainly.com/question/11624077
#SPJ1
Need the slope(m) of the function.
the y intercept of the function.
and the slope intercept form f(x)=mx+b of the function.
Answer:
We can calculate the slope by taking 2 points on the line. I took A(4,4) and B(-4,0), so we get m=1/2.
2. y-intercept is the point where a line crosses the y-axis which is (0,2)
3. We have f(x)=1/2x +b
By taking a particular point on the line,we get :
2=1/2(0)+b
==》 b=2
So the slope intercept form is
y=1/2x+2
[tex]-2-\frac{5}{4} x=13\\[/tex]
Therefore, the solution to the equation -2 - 5/4x = 13 is x = -12.
What is equation?A mathematical statement proving the equality of two expressions is known as an equation. Variables, numbers, and mathematical operations like addition, subtraction, multiplication, and division are frequently included. In addition to representing a connection between variables, an equation may also be used to find an unknown number. As they enable us to define and evaluate connections between things and make predictions about how they will behave under various circumstances, equations are a crucial tool in many domains, including mathematics, physics, engineering, and many more.
To solve for x in the equation -2 - 5/4x = 13, you can follow these steps:
Add 2 to both sides of the equation to isolate the fraction on the left side:
-2 - 5/4x + 2 = 13 + 2
-5/4x = 15
Multiply both sides of the equation by -4/5 to get x by itself:
(-4/5) * (-5/4x) = (-4/5) * 15
x = -12
Therefore, the solution to the equation -2 - 5/4x = 13 is x = -12.
to know more about equation:
https://brainly.com/question/29657992
#SPJ1
I complete lost on this problem can you help me solve it
The line described by y = 3/4x+5 is tangent to a circle at the point (0, 5). The line described by 3x + 4y = 38 is tangent to the same circle at the point (6, 5). Find the equation of the circle.
Answer:
(x-24/5)^2 + (y-21/5)^2 = (sqrt(481)/5)^2, or (x-24/5)^2 + (y-21/5)^2 = 481/25
Step-by-step explanation:
The equation of a circle can be written in the form (x-a)^2 + (y-b)^2 = r^2, where (a,b) is the center of the circle and r is its radius. Since the lines are tangent to the circle at points (0,5) and (6,5), we can use these points to find the center and radius of the circle.
First, let’s find the slope of each line. The slope of the line y = 3/4x+5 is 3/4. The slope of the line 3x + 4y = 38 can be found by rearranging it into slope-intercept form: y = (-3/4)x + 19/2. So the slope of this line is -3/4.
Since the lines are tangent to the circle, they are perpendicular to the radius at their point of tangency. This means that the center of the circle lies on the line that passes through (0,5) and has a slope of -4/3, and also on the line that passes through (6,5) and has a slope of 4/3.
Let’s find the equation of these two lines. The line passing through (0,5) with a slope of -4/3 has an equation y - 5 = (-4/3)(x - 0), or y = (-4/3)x + 5. The line passing through (6,5) with a slope of 4/3 has an equation y - 5 = (4/3)(x - 6), or y = (4/3)x - 3.
The center of the circle is at the intersection of these two lines. To find it, we can set their right-hand sides equal to each other and solve for x: (-4/3)x + 5 = (4/3)x - 3. Solving this equation gives us x = 24/5. Substituting this value into either equation for y gives us y = (4/3)(24/5) - 3 = 21/5.
So the center of the circle is at (24/5, 21/5). To find its radius, we can use either point of tangency. Let’s use (0,5). The distance between this point and the center is given by sqrt((0-24/5)^2 + (5-21/5)^2), which simplifies to sqrt(481)/5.
Therefore, the equation of the circle is (x-24/5)^2 + (y-21/5)^2 = (sqrt(481)/5)^2, or (x-24/5)^2 + (y-21/5)^2 = 481/25.
Alan and his mom are planting vegetables in their garden. Alan has finished planting 4 rows of carrots so far and is planting new rows at a rate of 2 rows per hour. His mom has finished 7 rows of tomatoes and will continue planting at 1 row per hour. Once the pair get to the point where they have finished the same number of rows, they will take a break and decide what to plant next. How many rows will they each have completed? Write a system of equations, graph them, and type the solution.
Alan and his mom will each have completed 10 rows after 3 hours.
What do you mean by term Expressions ?An expression is a combination of numbers, variables, and/or operations (such as addition, subtraction, multiplication, division, exponents, and roots) that are grouped together to represent a value.
Let x be the number of hours it takes for Alan and his mom to have planted the same number of rows.
Alan will have planted 4 + 2x rows of carrots, and his mom will have planted 7 + x rows of tomatoes.
Setting these two expressions equal to each other gives:
4 + 2x = 7 + x
Solving for x, we get:
x = 3
Thus, after 3 hours, Alan will have planted:
4 + 2(3) = 10 rows of carrots
And his mom will have planted:
7 + (3) = 10 rows of tomatoes
Therefore, they will each have completed 10 rows of vegetables after 3 hours.
To graph these equations, we can plot them on a coordinate plane, where the x-axis represents the number of hours and the y-axis represents the number of rows planted.
Alan's equation is y = 2x + 4, and his mom's equation is y = x + 7.
The graph of these two equations intersect at the point (3, 10), which represents the moment when they have each planted 10 rows.
Therefore, Alan and his mom will each have completed 10 rows after 3 hours
Learn more about Exponents here
brainly.com/question/5497425
#SPJ1
a group of students were asked if they are in the math club and if they are in the literature club. Partial results are shown in the table. What is the value of x+y?
Hence Option A. 22 is correct.
How to solveOf the students in the maths club , 67% are not in the literature club.
So the number of students in Maths club =
[ ( Number of students in maths club but not in the literature club) / 67 ] * 100 % = [ 16 / 67 ] * 100% = 24 (Rounded)
Hence, Number of students in maths club and in the literature club =
x = Total Number of students in Maths club - Number of students in maths club but not in the literature club
x = 24 - 16 = 8
Of the students not in the maths club , 78% are not in the in the literature club.
So, Of the students not in the maths club , 100% - 78% = 22% are in the literature club.
So the number of students not in the Maths club =
[ ( Number of students not in the maths club and in the literature club) / 22 ] * 100 %
= [ 4 / 22 ] * 100% = 18.18 = 18 (Rounded)
Hence, Number of students not in the maths club and not in the literature club =
y = Total Number of students not in the Maths club - Number of students not in the maths club and in the literature club
y = 18 - 4 = 14
So, x + y = 8 + 14 = 22.
Hence Option A. 22 is correct.
Read more about data here:
https://brainly.com/question/30395228
#SPJ1
Solve the equation for x -4X+3=11
Answer:
x = -2
Step-by-step explanation:
-4x + 3 = 11
Subtract 3 from both sides:
-4x = 8
Divide both sides by -4:
x = -2
b/8 < 8 help me please I also need the graphic
The solution of the inequality given is b < 64
the graph is attached
How to solve for bIn the equation, let us replace b with x
To solve the inequality x/8 < 8 for x, we need to isolate x on one side of the inequality.
We can do this by multiplying both sides of the inequality by 8, which will cancel out the 8 in the denominator on the left side:
Therefore, the solution to the inequality x/8 < 8 is x < 64.
This means that any value of x that is less than 64 will make the inequality true.
Learn more about inequality at
https://brainly.com/question/25275758
#SPJ1
Hi can someone please help me? Look in the picture. I’ll give brainly if you explain :)
HELPPPP !!
Mr. Olaffsen opened a sandwich shop and a smoothie stand in his neighborhood.
The following table and equation show function f, representing Mr. Olaffsen's profit, in dollars, x months since opening the sandwich shop.
__________________________________________________________________
x 1 2 3 4 5 6 7
f(x) 12,000 15,500 18,000 19,500 20,000 19,500 18,000
__________________________________________________________________
The following table and equation show function g, representing Mr. Olaffsen's profit, in dollars, x months since opening the smoothie stand.
__________________________________________________________________
x 1 2 3 4 5 6 7
g(x) 9,300 12,000 14,100 15,600 16,500 16,800 16,500
__________________________________________________________________
Select the true statement.
A.) The difference between the maximum profit earned by the sandwich shop and the smoothie stand is $3,000.
B.) The difference between the maximum profit earned by the sandwich shop and the smoothie stand is $3,500.
C. ) The difference between the maximum profit earned by the sandwich shop and the smoothie stand is $3,200.
D. ) The difference between the maximum profit earned by the sandwich shop and the smoothie stand is $2,700.
The true statement is that the difference between the maximum profit earned by the sandwich shop and the smoothie stand is $2,700. (option d).
To determine the maximum profit earned by each business, we need to find the vertex of each quadratic function. The vertex of a quadratic function of the form ax² + bx + c is given by the formula (-b/2a, f(-b/2a)), where f(-b/2a) is the maximum value of the function.
The equations for the two functions are:
f(x) = -500x² + 9000x + 7500 g(x) = -500x² + 7500x + 4200
To find the vertex of f(x), we need to first rewrite the function in standard form:
f(x) = -500(x² - 18x - 15)
Completing the square, we get:
f(x) = -500(x - 9)² + 12000
So the vertex of f(x) is (9, 12000), which represents the maximum profit earned by the sandwich shop.
Similarly, to find the vertex of g(x), we rewrite the function in standard form:
g(x) = -500(x² - 15x - 8.4)
Completing the square, we get:
g(x) = -500(x - 7.5)² + 14100
So the vertex of g(x) is (7.5, 14100), which represents the maximum profit earned by the smoothie stand.
Finally, we can calculate the difference between the maximum profits earned by both businesses as:
12000 - 14100 = -2700
Therefore, the correct answer is option (d).
To know more about quadratic function here
https://brainly.com/question/18958913
#SPJ1
3.4 MIXED FACTORING
1. Utilize all of the strategies for factoring in order to factor the following polynomials.
Reminder: Combine like-terms prior to factoring.
a. x² - 4x-2x+8
Answer:
(x -2)(x -4)
Step-by-step explanation:
You want to factor x² - 4x -2x +8.
Factor by groupingWe recognize that the product of the coefficients of the two linear terms is equal to the contant, so this is more easily factored by not combining like terms prior to factoring.
Grouping the terms in pairs, we find we can factor each pair:
(x² -4x) + (-2x +8)
= x(x -4) -2(x -4) . . . . . these terms have a common factor of (x -4)
= (x -2)(x -4) . . . . . . . factored form of the expression
If g(q) = 2q-4 / q-A
and g(-3) = 2, what is the value of A?
Answer:
To find the value of A, we can substitute g(-3) = 2 into the given equation and solve for A.
g(q) = (2q-4) / (q-A)
2 = (2(-3)-4) / (-3-A)
Multiplying both sides by (-3-A), we get:
2(-3-A) = -10 - 2A
Expanding the left side, we get:
-6 - 2A = -10 - 2A
Adding 2A to both sides, we get:
-6 = -10
This is a contradiction, which means that there is no value of A that satisfies the given conditions. Therefore, the answer to the question is:
There is no value of A that satisfies the given conditions.
Factor Completely
n^4 − 4n^3 − 17n^2 − 36n + 108
Answer:
It can't be factor
Step-by-step explanation:
n^4 − 4n^3 − 17n^2 − 36n + 108
The GCF of this is 1, so the equation can't be factor.
Which transformation would move Point A(-5, -2) to Quadrant IV? Mark all that apply.
To move Point A(-5, -2) to Quadrant IV, we need to apply one or more transformations that result in a reflection about the x-axis and/or a rotation of 180 degrees. The following transformations would move Point A to Quadrant IV:
Reflection about the x-axis: This transformation would change the sign of the y-coordinate, making it positive. So, the image of A after this transformation would be (−5, 2).
Rotation of 180 degrees about the origin: This transformation would change the sign of both the x and y-coordinates, making them positive. So, the image of A after this transformation would be (5, 2).
Therefore, either a reflection about the x-axis or a rotation of 180 degrees would move Point A to Quadrant IV.
Find cos B. a. Cosine B = StartFraction 41 Over 40 EndFraction c. Cosine B = StartFraction 40 Over 41 EndFraction b. Cosine B = StartFraction 9 Over 41 EndFraction d. Cosine B = StartFraction 9 Over 40 EndFraction
The answer choice which correctly represents the value of cos B as required is; Cosine B = StartFraction 40 Over 41 EndFraction.
Therefore Choice B is correct
What is the cosine rule?The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles and it states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.
we know that from the trigonometric ratios that the cosine of an angle is the ratio of its opposite and hypothenuse.
Hence, we can say that:
cos B = 80 / 82
cos B = 40 / 41.
Inn conclusion, the cosine of angle B following from trigonometric ratios as requested is; cos B = 40 / 41.
Learn more about trigonometric ratios at;
https://brainly.com/question/24349828
#SPJ1
#complete question:
Evaluate the function requested. Write your answer as a fraction in lowest terms.
Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is 82, adjacent B C is 18, opposite A C is 80.
Find cos B.
a.
Cosine B = StartFraction 9 Over 41 EndFraction
c.
Cosine B = StartFraction 9 Over 40 EndFraction
b.
Cosine B = StartFraction 40 Over 41 EndFraction
d.
Cosine B = StartFraction 41 Over 40 EndFraction
Please help!!!!!!!!!
Answer: I did not do the math, I just tell people how to do it
Hope I helped.
Step-by-step explanation:
Multiply the number of triangles you created by 180.
Solve for p.
p − 4
2
= 3
The value of p in the expression is 45
What is additive inverse?Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0.
For example a+5 = 2 , by solving this we add the additive inverse of 5 to both sides. The additive inverse of 5 is -5
this means,
a+5-5 = 2-5
a = 2-5
a = -3
Similarly, p-42 = 3 is solved in the same way. we add the additive inverse of -42 which is +42 to both sides,
p-42+42 = 3+42
p = 3+42
p = 45
therefore the value of p is 45
learn more about additive inverse from
https://brainly.com/question/1548537
#SPJ1
help me solve this please 2x+5y
Answer:
35
Step-by-step explanation:
Simply plug in the value of your 'x' and 'y':
x = 4.5
y = 5.2
[tex]2(4.5)+5(5.2)=9+26=35[/tex]
For the functions f and g find a. (f+g)(x), b. (f-g)(x), c. (f
The value of the given functions are:
(a) (f + g)(x) = (x -8 + 14) = x + 6
(b) (f-g)(x) = (x -8 - 14) = x - 22
(c) (f • g)(x) = (x - 8 (14)) = 14x - 112
(d) (f/g)(x) = (x - 8)/ 14
What is function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have the functions are as follows:
f(x)=x - 8,
g(x)=5 + 9
To solve :
a. (f + g)(x),
b. (f-g)(x),
c. (f • g)(x), and
d. (f/g)(x)
Now,
(a) (f + g)(x) = (x -8 + 14) = x + 6
(b) (f-g)(x) = (x -8 - 14) = x - 22
(c) (f • g)(x) = (x - 8 (14)) = 14x - 112
(d) (f/g)(x) = (x - 8)/ 14
Learn more about Function at:
https://brainly.com/question/12431044
#SPJ1
The given question is incomplete, complete question is:
For the functions f and g find a. (f+ g)(x), b. (f-g)(x), c. (f• g)(x), and d. (f/g)(x) f(x)=x - 8, g(x)=5 + 9
What are the values of x
X =
The product of the two external segments and the sum of the lengths of each segment in the circle are equal if two secants are drawn to the circle from a single shared exterior point. The x has a value of 2 units.
What is intersecting secants theorem?If two secant segments are drawn to a circle from an exterior point, the product of the measurements of one secant segment and its external secant segment is equal to the product of the measurements of the second secant segment and its external secant segment.
So, we know that:
BE * AE = CE * DE
Now, insert the values as follows:
(x+1) * (x+12) = (x+4) * (x+5)
x² + x + 12x + 12 = x² + 4x + 5x + 20
13x + 12 = 9x + 20
4x = 8x
x= 2
Then: x = 2 units
Therefore, the product of the two external segments and the sum of the lengths of each segment in the circle are equal if two secants are drawn to the circle from a single shared exterior point. The x has a value of 2 units.
Know more about intersecting secants theorem here:
https://brainly.com/question/30242636
#SPJ1
what is the surface area of 11cn and 14cm
The surface area of the shape will be 46 yards².
What is the surface area?Surface area refers to the total area that the surface of a three-dimensional object covers. It is measured in square units, such as square meters (m²), square centimeters (cm²), square feet (ft²), etc.
The formula for the surface area of the 2 bases is just b*h
12*8=96 yd²
Finding the lateral area:
(10*10)+(10*10)+(12*10)=
100+100+120=
320 yd²
Add the lateral surface area and the surface area of the 2 bases for the total surface area:
320+96=416 yd²
Learn more about area on
https://brainly.com/question/16519513
#SPJ1