The value of A when we rewrite 6^x as A^x/4 is 3/2
What is an algebraic expression?An algebraic expression can simply be defined as a mathematical expression that consists of terms, factors, constants, coefficients and variables.
They are also known as expressions made up of arithmetic operations, such as;
AdditionBracketParenthesesDivisionMultiplicationSubtractionFrom the information given, we have that;
The function is given as;
6^x
Here, the coefficient or rather the base is 6
To determine the value of A when ^^x is given as A^x/4
The value of A would be;
6/4 = 3/2
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The circumference of a circle is 20π in. What is the area, in square inches? Express your answer in terms of � π.
The area of the circle is 100π in².
The area of the circle is the space occupied by the circle in a two-dimensional plane.
The area of the circle is calculated as,
Area = πr²
Given that the circumference of a circle is 20π in.
The radius of the circle is calculated as,
C = 2πr
C = 2 x π x r
20π = 2 x π x r
r = 10 in
The area is calculated as,
Area = πr²
Area = π x ( 10)²
Area = 100π in²
Therefore, the area of the circle will be 100π in².
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Does the equation represent a linear or nonlinear function? y = x² +8
Answer:
nonlinear
Step-by-step explanation:
It is nonlinear (NOT a straight line). It is a open-up parabola with a vertex at (0, 8)
Nancy is studying constellations in science class. Two things are strongly supported by all random samples of the number of stars in a constellation. Most constellations have from three to seven stars in them, and very few constellations have more than nine stars in them. Which of the following could be random samples of the number of stars in a constellation?
Answer: 2, 7, 3, 7, 9, 3, 10, 3, 6, 5, 3, 7, 2, 5, 8
Answer:
2, 7, 3, 7, 9, 3, 10, 3, 6, 5, 3, 7, 2, 5, 8
14, 6, 5, 3, 7, 2, 4, 9, 6, 7, 3, 6, 5, 11, 3
Step-by-step explanation: Study Island
Helpful to try ratios
Example : 10 to 15 has 3-7 stars so that strongly supports random samples
wayne earns 4.6 simple interest for 8 years on 4000. How much interest does he earn and what is the total amount on the account
Answer:
To find the interest earned by Wayne, we can use the simple interest formula:
I = P * r * t
Where:
I = interest earned
P = principal amount
r = interest rate per year
t = time period in years
In this case, we know that:
P = 4000 (the principal amount)
r is unknown (we'll come back to this)
t = 8 years (the time period)
We also know that the interest earned is 4.6, so we can substitute these values into the formula and solve for r:
4.6 = 4000 * r * 8
r = 4.6 / (4000 * 8) = 0.00014375
Now that we know the interest rate per year, we can use the simple interest formula to find the total interest earned by Wayne:
I = P * r * t = 4000 * 0.00014375 * 8 = 4.6
So Wayne earned 4.6 in interest over 8 years.
To find the total amount on the account, we can simply add the interest to the principal:
Total amount = Principal + Interest = 4000 + 4.6 = 4004.6
So the total amount on the account after 8 years is 4004.6.
Answer: The total amount on Wayne's account after 8 years is $5,472.
Step-by-step explanation:
To calculate the interest earned by Wayne, we can use the formula:
I = P * r * t
Where I is the interest, P is the principal amount, r is the interest rate, and t is the time in years.
In this case, Wayne earns 4.6% simple interest for 8 years on 4000. So, P = 4000, r = 0.046 (since 4.6% is equivalent to 0.046), and t = 8.
I = 4000 * 0.046 * 8
I = 1472
Therefore, Wayne earns $1,472 in interest.
To calculate the total amount on the account, we can add the interest to the principal:
Total amount = Principal + Interest
Total amount = 4000 + 1472
Total amount = $5,472
Therefore, the total amount on Wayne's account after 8 years is $5,472.
The lemon cookie is larger than the chocolate cookie but smaller than the ginger cookie. The oatmeal cookie is smaller than the chocolate cookie. Which cookie is the largest?
Answer:
Ginger cookie.
Oatmeal — Chocolate — Lemon — Ginger
Pythagorean identity to find sin(a) if cos(a)=0.4
Answer:
Pythagorean identity: sin²Ф + cos²Ф = 1
Step-by-step explanation:
The sine, cosine, and tangent values of an angle in a right-angled triangle are related by the Pythagorean identity, a fundamental trigonometric identity: sin²Ф + cos²Ф = 1
Given: cos(a) = 0.4 (we can use this to identify sin(a) ),
sin²(a) + (0.4)² = 1
sin²(a) = 1 - (0.4)²
sin²(a) = 1 - 0.16
sin²(a) = 0.84
Taking sq. roots on both sides will give,
sin(a) = ±√0.84
Sine is positive in the first and second quadrants, which leads us to the following conclusion:
sin(a) = +√0.84
Thus, rounding to two decimal places, sin(a) is almost equal to 0.917 or 0.92.
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In the first half of a basketball game, Kevin made 2 of all the free throws he shot, and his free throw success rate was 40% for the first half of the game. In the second half of the basketball game, Kevin made 3 of all the free throws he shot, and his free throw success rate was 20% for the second half of the game. What was Kevin's overall free throw success rate for the entire game?
The overall free throw success rate in the entire game is 25%
What is rate?A rate is a ratio that compares two different quantities which have different units.
Success rate of free = number of free throw made ÷ total number of free throws × 100
In the first half,
represent the total free throw by x
40 = 2/x × 100
40x = 200
x = 200/20
x = 5
In the second half;
20 = 3/x × 100
20x = 300
x = 300/20
x = 15
Therefore the total success rate of free throw = total number of free throw made ÷ total number of free throws × 100
= (3+2)/(15+5)
= 5/20 × 100
= 25%
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given an interest of 11900 at 6% for 50 days, calculate the principal
Answer: P*0.06*(50/360) = 11900
Step-by-step explanation: good luck
Answer:
1428000
Step-by-step explanation:
You want the principal that would result in interest of 11900 at a rate of 6% for a period of 50 days.
Ordinary interestOrdinary interest is calculated on the basis of 360 days per year. The fraction of a year represented by 50 days is 50/360, so the interest formula tells us ...
I = Prt . . . . . . . where P is the principal at rate r for t years
11900 = P·0.06·(50/360)
P = 11900/(0.06·50/360) = 1428000
The principal amount is 1428000.
What is the area of the triangle below?
Answer:
42 m²
Step-by-step explanation:
Area of triangle = 1/2(b · h)
b = 7 m
h = 12 m
Let's solve
1/2(7 · 12) = 42 m²
So, the area of the triangle is 42 m²
A cylindrical soup can has a radius of 1.3 in. and is 5 in. tall. Find the volume of the can.
in
Submit
3
Round your answer to the nearest tenth if necessary.
Assume a company reported the following results:
Sales $300, 000
Net operating income?
Average operating assets $187, 500
Margin ?
Turnover ?
Return on investment (ROI) 70%
The margin is closest to:
A70%, B 40%, C 63%, D 23%
Answer:
Step-by-step explanation:
To find the missing values, we can use the ROI formula:
ROI = Margin x Turnover
We are given that ROI is 70%. We can use this to solve for the missing values:
Margin x Turnover = 70%
We can rearrange this equation to solve for Margin:
Margin = ROI / Turnover
To find Turnover, we can use the formula:
Turnover = Sales / Average Operating Assets
Plugging in the given values, we get:
Turnover = $300,000 / $187,500 = 1.6
Now we can solve for Margin:
Margin = 70% / 1.6 = 43.75%
Therefore, the closest option is B) 40%.
How do u write the number 300, as a Fraction?
Answer: 300/1
Step-by-step explanation:
You take the numerator and divide it by one because it will equal the numerator.
what is the test point and boundary line for 2/3x- 2y ≥ 1
Answer:
The answer is: y ≤ (2/3)x - 1/2
Step-by-step explanation:
Add 2y to both sides of the inequality:
2/3x ≥ 1 + 2y
Subtract 1 from both sides of the inequality:
2/3x - 1 ≥ 2y
Divide both sides by 2 to isolate y:
y ≤ 1/2(2/3x - 1)
This gives you the inequality in slope-intercept form, y ≤ (2/3)x - 1/2, where the slope is 2/3 and the y-intercept is -1/2.
To graph the boundary line, plot the y-intercept at (0, -1/2) and then use the slope to find another point. For example, if you move up 2 units and to the right 3 units from the y-intercept, you'll arrive at the point (3, 1/2). Connect these two points with a straight line to graph the boundary line.
Finally, to shade the region of the coordinate plane that satisfies the inequality, test any point above or below the boundary line to see if it's a solution to the inequality. If the point satisfies the inequality, shade the region that it's in. If it doesn't, shade the opposite region.
Use the pair of functions to find f(g(x)) and g(f(x)). Simplify your answers
f(g(x))=
g(f(x))=
The simplified answers are:
[tex]f(g(x)) = 6x + 2[/tex]
[tex]g(f(x)) = 6x + 9[/tex]
What is function?A function is a rule that assigns a unique output value to each input value. It is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. The input values are often referred to as the domain of the function, while the output values are referred to as the range.
To find f(g(x)), we first need to evaluate g(x) and then use the result as the input for f(x). So:
[tex]f(g(x)) = f(2x - 1)[/tex](substituting [tex]g(x) = 2x - 1)[/tex]
[tex]= 3(2x - 1) + 5[/tex](substituting[tex]f(x) = 3x + 5)[/tex]
[tex]= 6x - 3 + 5[/tex]
[tex]= 6x + 2[/tex]
Therefore, [tex]f(g(x)) = 6x + 2.[/tex]
To find g(f(x)), we follow a similar procedure:
[tex]g(f(x)) = g(3x + 5)[/tex] (substituting[tex]f(x) = 3x + 5)[/tex]
[tex]= 2(3x + 5) - 1[/tex] (substituting [tex]g(x) = 2x - 1)[/tex]
[tex]= 6x + 10 - 1[/tex]
[tex]= 6x + 9[/tex]
Therefore, [tex]g(f(x)) = 6x + 9[/tex].
So, the simplified answers are:
[tex]f(g(x)) = 6x + 2[/tex]
[tex]g(f(x)) = 6x + 9[/tex]
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This season, the probability that the Yankees will win a game is 0.55 and the probability that the Yankees will score 5 or more runs in a game is 0.57. The probability that the Yankees lose and score fewer than 5 runs is 0.33. What is the probability that the Yankees will lose when they score fewer than 5 runs? Round your answer to the nearest thousandth.
On solving the query we can say that The Yankees' chances of losing function when they score fewer than 5 runs are therefore around 0.33, or 33% (rounded to the nearest thousandth).
what is function?Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
P(A), P(B), and P(C) are all equal to 0.55.
The following formula may be used to determine the likelihood that the Yankees will lose when they score fewer than 5 runs:
P(C and not B) / P(not B) = P(C | not B)
We are aware of:
not B = the opposite of the occurrence B is the scenario in which the Yankees fail to score five runs in a game.
P(not B) = P(B) - 1.
Now, we may compute P(C | not B) using the formula below:
P(C and not B) / P(not B) = P(C | not B)
P(C | not B) is equal to 0.1419 / (1 - 0.57).
P(C | not B) = 0.1420 / 0.4330 P(C | not B) = 0.331
The Yankees' chances of losing when they score fewer than 5 runs are therefore around 0.33, or 33% (rounded to the nearest thousandth).
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On solving the query we can say that The Yankees' chances of losing function when they score fewer than 5 runs are therefore around 0.33, or 33% (rounded to the nearest thousandth).
What is function?
Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
P(A), P(B), and P(C) are all equal to 0.55.
The following formula may be used to determine the likelihood that the Yankees will lose when they score fewer than 5 runs:
P(C and not B) / P(not B) = P(C I not B)
We are aware of:
not B = the opposite of the occurrence B is the scenario in which the Yankees fail to score five runs in a game.
P(not B) = P(B)-1.
Now, we may compute P(C I not B) using the formula below:
P(C and not B)/ P(not B) = P(C I not B)
P(C❘ not B) is equal to 0.1419/(1 -0.57).
P(C❘ not B) 0.1420/0.4330 P(C❘ not B) = 0.331
The Yankees' chances of losing when they score
fewer than 5 runs are therefore around 0.33, or
33% (rounded to the nearest thousandth).
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Find the missing side. Round to the nearest tenth
Answer:
A
Step-by-step explanation:
using the sine ratio in the right triangle
sin73° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{20}{x}[/tex] ( multiply both sides by x )
x × sin73° = 20 ( divide both sides by sin73° )
x = [tex]\frac{20}{sin73}[/tex] ≈ 20.9 ( to the nearest tenth )
CAN SOMEONE ANSWER THIS FAST I NEED IT IN 5 MINUTES.
Oak Street and Elm Street run parallel to each other. When Main Street intersects them, it forms interior ∠3, measuring 110°. What is the measure of ∠5?
O A. 70°
O B. 80°
O C. 110°
O D. 20°
Answer:
Step-by-step explanation:
The line for main street is 180 degrees.
If angle 3 is 110 degrees.
Angle 5 would be 180 - 110.
180 - 110
70.
Answer: 70 degrees.
what is the surface area of the figure shown
The surface area of the figure shown is,
⇒ 204 cm²
We have o given that;
Upper cube has side = 3 cm
And, Lower cube has side = 5 cm
We know that;
Surface area of cube = 6a²
Hence,
The surface area of the figure shown is,
⇒ 6 × 3² + 6× 5²
⇒ 6 × 9 + 6 × 25
⇒ 54 + 150
⇒ 204 cm²
Thus, The surface area of the figure shown is,
⇒ 204 cm²
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Write the quadratic function in standard form to represent a parabola with zeros of -4 and 2 and that passes through the point (1,-15)
suppose that a polynomial function of degree 5 with rational coefficients has the given numbers as zeros. find the other zero(s). -2/3,2/3,0,4-i
Answer: -2/3, 2/3, 0, 4-i, and 4+i.
Step-by-step explanation:
A polynomial function of degree 5 with rational coefficients and the given zeros -2/3, 2/3, 0, and 4-i must have a complex conjugate of 4-i as another zero. Complex zeros of a polynomial with real coefficients always come in conjugate pairs. So, the other zero is 4+i.
Now we have all the zeros of the polynomial: -2/3, 2/3, 0, 4-i, and 4+i.
2. Jennifer has a bag containing 40 small wooden blocks.
There are 20 cubes, of which 5 are blue.
There are 20 spheres, of which 6 are blue.
Jennifer randomly selects a cube from the bag. What is the probability that the cube she selects is blue?
The probability that Jennifer selects a blue cube is 1/4 or 25%.
The probability that Jennifer selects a blue cube can be found by dividing the number of blue cubes by the total number of cubes:
P(selecting a blue cube) = number of blue cubes / total number of cubes
We are given that there are 5 blue cubes out of a total of 20 cubes:
P(selecting a blue cube) = 5/20
Simplifying this fraction by dividing both the numerator and denominator by 5, we get:
P(selecting a blue cube) = 1/4
Therefore, the probability that Jennifer selects a blue cube is 1/4 or 25%.
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Find the critical numbers and absolute extrema for y = 2x³ - 39x² + 240x on the interval [4, 9].
Type DNE if an answer does not exist.
Answer:
Critical Numbers: 5 and 8
Minimums is f(4)
Maximum is f(5)
Step-by-step explanation:
Take the derivative of the function using the power rule to get
[tex]6x^2-78x+240\\x^2-13x+40\\(x-5)(x-8)[/tex]
This gives you the critical numbers then you have to evaluate at all points:
[tex]f(4) = 464 \\f(5) = 475\\f(8) = 448\\f(9) = 459[/tex]
Showing the minimum is f(4) and the maximum is f(5)
answer rightly and ill give you brainliest. There are two pictures, answer both.
The statement which is true about the minimum values of the two quadratic functions presented in the question is f(x) and g(x) have the same minimum value. Therefore, the correct option is option C.
When [tex]tan(\theta) = 1[/tex] , the value of [tex]sin(\theta)[/tex] in quadrant III is [tex]\frac{-1}{\sqrt{2} }[/tex]. Therefore the correct option is option B.
First picture
Finding the vertex of each function, to determine the minimum values of functions. The vertex of a quadratic function in the form [tex]f(x) = ax^{2} +bx + c[/tex] can be find by the coordinates [tex](\frac{-b}{\ 2a} , f(\frac{-b}{\ 2a} ))[/tex].
For function [tex]f(x) = x^{2} +4x - 4[/tex], a = 1, b = 4. Substituting these values in vertex formula,
[tex]x = \frac{-b}{\ 2a} = \frac{-4}{\ (2\ *\ 1)} = -2[/tex]
Finding the value of f(-2):
[tex]f(-2) = (-2)^{2} + 4(-2) - 4[/tex]
= 4 - 8 - 4
= -8
So the vertex of f(x) is (-2, -8), and the minimum value is -8.
For function g(x)
From the values, the minimum value of g(x) is -8, which occurs when x = 0.
Comparing the minimum values of f(x) and g(x),
Minimum value of f(x) is -8
Minimum value of g(x) is -8
Therefore, the correct answer is: C. f(x) and g(x) have the same minimum value.
Second picture
In Quadrant III, x-coordinate and y-coordinate both are negative.
[tex]tan(\theta) = \frac{sin(\theta)}{cos(\theta)} = 1[/tex]
Since, [tex]cos(\theta)[/tex] is negative and [tex]tan(\theta) = 1[/tex], using the Pythagorean identity to find [tex]cos(\theta)[/tex],
[tex]cos^2(\theta) = \frac{1 }{(1 + tan^2(\theta))}[/tex]
[tex]cos^2(\theta) = \frac{1}{(1 + 1)}[/tex]
[tex]cos^2(\theta) = \frac{1}{2}[/tex]
[tex]cos(\theta) = \sqrt{\frac{1}{2} }[/tex]
[tex]cos(theta) = -\frac{\ 1}{\sqrt{2} }[/tex]
⇒ [tex]sin(\theta) = tan(\theta) * cos(\theta)[/tex]
[tex]sin(\theta) = 1 * (-\frac{1}{\sqrt{2} } )[/tex]
[tex]sin(\theta) = -\frac{\ 1}{\sqrt{2} }[/tex]
Therefore, in Quadrant III, [tex]sin(\theta) = -\frac{\ 1}{\sqrt{2} }[/tex]
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How many solutions are there to the equation 7m = 49?
2
1
0
infinite
Answer:
There is 1 solution to the equation 7m = 49.
To solve for m, we can divide both sides of the equation by 7:
7m / 7 = 49 / 7
m = 7
Therefore, there is only 1 solution to the equation 7m = 49.
Step-by-step explanation:
How long is the journey from Market Street to Westerham?
Answer:
Step-by-step explanation:
01 hour 33 minutes
I need help with this question
please help urgently! maths trigonometry
Step-by-step explanation:
[tex] \tan( \alpha ) + \frac{1}{ \tan( \alpha ) } [/tex]
[tex] \frac{ { \tan( \alpha ) }^{2} + 1 }{ \tan( \alpha ) } [/tex]
use the identity
[tex] { \tan( \alpha ) }^{2} + 1 = { \sec( \alpha ) }^{2} [/tex]
so we have
[tex] \frac{ { \sec( \alpha ) }^{2} }{ \tan( \alpha ) } [/tex]
now we use the following id.
[tex] \sec( \alpha ) = \frac{1}{ \cos( \alpha ) } \: and \: \: \tan( \alpha) = \frac{ \sin( \alpha ) }{ \cos( \alpha ) } [/tex]
then, back to what we had
[tex] \frac{ \frac{1}{ { \cos( \alpha ) }^{2} } }{ \frac{ \sin( \alpha ) }{ \cos( \alpha ) } } [/tex]
and finally, this equals to what we wanted to prove
[tex] \frac{1}{ \sin( \alpha ) \cos( \alpha ) } [/tex]
Answer:
See below for proof.
Step-by-step explanation:
To prove the given trigonometric equation, we can use the following tangent trigonometric identities:
[tex]\boxed{\tan \theta=\dfrac{\sin \theta}{\cos \theta}}[/tex] [tex]\boxed{\dfrac{1}{\tan \theta}=\dfrac{\cos \theta}{\sin \theta}}[/tex]
Therefore:
[tex]\tan \theta + \dfrac{1}{\tan \theta}=\dfrac{\sin \theta}{\cos \theta}+\dfrac{\cos \theta}{\sin \theta}[/tex]
Add the fractions on the right side of the equation:
[tex]\begin{aligned}\tan \theta + \dfrac{1}{\tan \theta}&=\dfrac{\sin \theta}{\cos \theta}+\dfrac{\cos \theta}{\sin \theta}\\\\ &=\dfrac{\sin \theta \cdot \sin \theta}{\cos \theta \cdot \sin \theta}+\dfrac{\cos \theta \cdot \cos \theta}{\sin \theta \cdot \cos \theta}\\\\ &=\dfrac{\sin^2 \theta }{\sin \theta \cos \theta}+\dfrac{\cos^2 \theta }{\sin \theta \cos \theta}\\\\&=\dfrac{\sin^2 \theta + \cos^2\theta}{\sin \theta \cos\theta}\end{aligned}[/tex]
Apply the identity sin²θ + cos²θ = 1:
[tex]\begin{aligned}\tan \theta + \dfrac{1}{\tan \theta}&=\dfrac{\sin \theta}{\cos \theta}+\dfrac{\cos \theta}{\sin \theta}\\\\ &=\dfrac{\sin \theta \cdot \sin \theta}{\cos \theta \cdot \sin \theta}+\dfrac{\cos \theta \cdot \cos \theta}{\sin \theta \cdot \cos \theta}\\\\ &=\dfrac{\sin^2 \theta }{\sin \theta \cos \theta}+\dfrac{\cos^2 \theta }{\sin \theta \cos \theta}\\\\&=\dfrac{\sin^2 \theta + \cos^2\theta}{\sin \theta \cos\theta}\\\\&=\dfrac{1}{\sin \theta \cos\theta}\end{aligned}[/tex]
Therefore, we have proved that:
[tex]\tan \theta + \dfrac{1}{\tan \theta}=\dfrac{1}{\sin \theta \cos\theta}[/tex]
(14 marks)
Explain what determines if parts match, and if the suggested components fit together.
Provide alternatives to the part(s) that do not fit the build.
1.1
The solution is :
A) Median: 7
Mode: 8
Range: 5
B) Tyler is wrong, the greater the MAD value, the greater the variability
A) Given the data set: 4,6,6,7,7,8,8,8,9
The median is 7 (the middle point in the ordered list)
The mode is 8 (the most repeated number)
The range is 5 (the difference between the highest and lowest values)
B) Tyler is wrong, the greater the MAD value, the greater the variability.
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complete question:
A fitness instructor tested the arm strength of members of a fitness dass to compare their scores to the national average. The test rated members on a scale from 1, the weakest, to 10, the strongest. The scores of 9 members are shown in the data set below. 4,6,6,7,7,8,8,8,9 Part A What is the value of each measure? Answers: Median: Mode: Range: Part B The mean absolute deviation (MAD) value of the data set is about 1.1. Tyler says that the lower the MAD value, the greater the variability. Is Tyler correct? Explain.
please help with problem 7, and 9-12
1. The coordinates of Y is at Y(10, 0).
2. The equation for diagonal is y = 3/2x - 15
3. The equation for diagonal passing through Z is y = 7/2x - 35.
As from the coordinates of Y is at Y(10, 0).
2. The equation for diagonal is
(y - 0)= (4-10)/ (-4-0) (x - 10)
y= (-6)/ (-4) (x-10)
y = 3/2 (x-10)
y = 3/2x - 15
3. The equation for diagonal passing through Z
(y - 0)= (3-10)/ (-2-0) (x - 10)
y= (-7) / (-2) (x-10)
y = 7/2(x-10)
y = 7/2x - 35
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Find the value of x
The value of angle x include the following: A. 34.5°
What is the theorem of intersecting secants?In Mathematics and Geometry, the theorem of intersecting secants states that when two (2) lines intersect outside a circle, the measure of the angle formed by these lines is equal to one-half (½) of the difference of the two (2) arcs it intercepts.
By applying the theorem of intersecting secants, the value of m∠x can be calculated as follows:
m∠x = 1/2(126 - 57)
m∠x = 1/2(69)
m∠x = 34.5 degrees.
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