Answers
Given:
A figure of a circle and two secants on the circle from the outside of the circle.
To find:
The measure of angle KLM.
Solution:
According to the intersecting secant theorem, if two secant of a circle intersect each other outside the circle, then the angle formed on the intersection is half of the difference between the intercepted arcs.
Using intersecting secant theorem, we get
[tex]\angle KLM=\dfrac{1}{2}(Arc(JON)-Arc(KM))[/tex]
[tex](3x-4)=\dfrac{1}{2}(271-(x+6))[/tex]
[tex](3x-4)=\dfrac{1}{2}(271-x-6)[/tex]
Multiply both sides by 2.
[tex]6x-8=265-x[/tex]
Isolate the variable x.
[tex]6x+x=265+8[/tex]
[tex]7x=273[/tex]
Divide both sides by 7.
[tex]x=\dfrac{273}{7}[/tex]
[tex]x=39[/tex]
Now,
[tex]\angle KLM=(3x-4)^\circ[/tex]
[tex]\angle KLM=(3(39)-4)^\circ[/tex]
[tex]\angle KLM=(117-4)^\circ[/tex]
[tex]\angle KLM=113^\circ[/tex]
Therefore, the measure of angle KLM is 113 degrees.
Related Questions
A kg sugar cost $1.40 a kg of socks cost $0.55 what is the total price of two KG of sugar and two KG of salt
Answers
One kg of salt cost $0.55, so two kg of salt costs $0.55 + $0.55 = $1.10
To find the total price, add the cost of 2kg of sugar plus 2kg of salt together.
Total price = $2.80 + $1.10
Total price = $3.90
PLS HELP DUE AT MIDNIGHT
Answers
Answer:
m<BDC = 60 degrees
Step-by-step explanation:
m<EBD is 120, m<EBC = 180 (it's a straight angle) so m<DBC = 180-120= 60 degrees.
All angles in a triangle add up to 180. 60+60+x=180. 180-120=x=60.
Lines m and n are parallel. The measure of angle 6 is 55 114 57.6 3 What is the measure of angle 1? 1552
Answers
Answer:
125 degree
Step-by-step explanation:
As m // n, so angle 2 and angle 6 is the same so angle 2 = 55 degree, then angle 1 + angle 2 = 180 degree, so angle 1 = 180 - 55 = 125 degree.
If it is helpful, please give me Brainliest.
Rewrite using a single positive exponent.
8
.8
-3
Answers
Explanation: I hope this helps you !
Which two lines are parallel?
5y = 2x-5
5y= 4 + 3x
5y- 3x = -1
Answers
Answer:
5y=4+3x, 5y-3x=-1
Step-by-step explanation:
To be parallel they must have different constants but the same slope.
5y-3x=-1
5y=-1+3x and 5y=4+3x fit these requirements.
The quantity of an element is decaying over time such that the amount of material
any time is given by the function F(t) = 6700(0.7)3t. Write an equivalent function
of the form F(t) = abt.
Answers
The equivalent function in the form y = ab^x is [tex]F(t)=2,298.1(0.7)^t[/tex]
Exponential functions:Give the exponential function in a general sense as y = ab^x
Given the exponential function [tex]F(t) = 6700(0.7)^{3t}[/tex]We are to write it in the form [tex]f(t) = ab^t[/tex]
This can be further expressed as;
[tex]F(t) = 6700(0.7)^{3t}\\F(t) = 6700(0.7^3)(0.7^t)\\F(t)=2,298.1(0.7)^t[/tex]
Hence the equivalent function in the form y = ab^x is [tex]F(t)=2,298.1(0.7)^t[/tex]
Learn more on exponential function here: https://brainly.com/question/12940982
sos please help how to do this
Answers
Answer:
±√7
Step-by-step explanation:
[tex]3 {x}^{2} + 7 = 28 \\ 3 {x}^{2} = 21 \\ {x}^{2} = 7 \\ x = \sqrt{7} [/tex]
Use this number line to help you answer the question. What is the opposite of 4? 30 points
Answers
Answer:
The opposite of 4 is -4
Step-by-step explanation:
Hope this helps.
the owner of a food cart sells an average or 120 frozen treats per day during the summer
Answers
Answer:
uhhh ok
Step-by-step explanation:
The straight line y = 3x +2 intersects the curve y = 2x^2 + 7x-11 at two points. Find the coordinates of these two points Give your answers correct to 2 decimal places.
Answers
Given:
The equation are
[tex]y=3x+2[/tex]
[tex]y=2x^2+7x-11[/tex]
To find:
The coordinates of intersection points.
Solution:
We have,
[tex]y=3x+2[/tex] ...(i)
[tex]y=2x^2+7x-11[/tex] ...(ii)
From (i) and (ii), we get
[tex]3x+2=2x^2+7x-11[/tex]
[tex]0=2x^2+7x-11-3x-2[/tex]
[tex]0=2x^2+4x-13[/tex]
If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then by quadratic formula:
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
In the equation [tex]0=2x^2+4x-13[/tex], we have [tex]a=2,b=4,c=-13[/tex].
Using quadratic formula, we get
[tex]x=\dfrac{-4\pm \sqrt{4^2-4(2)(-13)}}{2(2)}[/tex]
[tex]x=\dfrac{-4\pm \sqrt{16+104}}{4}[/tex]
[tex]x=\dfrac{-4\pm \sqrt{120}}{4}[/tex]
Now,
[tex]x=\dfrac{-4+\sqrt{120}}{4}[/tex] and [tex]x=\dfrac{-4-\sqrt{120}}{4}[/tex]
[tex]x=1.7386[/tex] and [tex]x=-3.7386[/tex]
[tex]x\approx 1.74[/tex] and [tex]x\approx -3.74[/tex]
Putting x=1.74 in (i), we get
[tex]y=3(1.74)+2[/tex]
[tex]y=5.22+2[/tex]
[tex]y=7.22[/tex]
Putting x=-3.74 in (i), we get
[tex]y=3(-3.74)+2[/tex]
[tex]y=-11.22+2[/tex]
[tex]y=-9.22[/tex]
Therefore, the coordinates of the intersection points are (1.74, 7.22) and (-3.74,-9.22).
I need help on Part A and Part B pls!!!
The first two photos are part A and the last photo is part B!!!
Answers
2 24-5what is 24 - 2x wanted to 24 - 5 exponent
Answers
Answer:
24-5:x2
Step-by-step explanation:
im not sure
mark brainliest if it helps
1.
Find the value of x in the parallelogram below.
*
65
Enter each line of work as an equation.
Answers
Answer:
x+65=180(being cointerior angle)
x=180-65
x=115
Amy is dressing a mannequin for a store window to show off a
new line of men's clothing. Amy can choose from 4 different T-
shirts and 2 styles of jeans. How many different ways can Amy
dress the mannequin?
Answers
Answer:
8
Step-by-step explanation:
4 different shirts would be 4 combinations. You can have one of each of the jeans on the mannequin, giving 4x2=8.
Answer:
8
Step-by-step explanation:
Anna makes a quilt by sewing together green, white, and yellow fabric. When she finishes, 2/6 of the quilt is green, and 3/6 is yellow. The rest is white. What fraction of the quilt is white? Show your work.
Answers
Answer:fraction of the quilt is white = 1/6
Step-by-step explanation:
Let the total quilt be = 1 ( since we are dealing with fraction)
The portion of quilt that is green 2/6
The portion of quilt that is yellow 3/6
The portion that is white = Total quilt −( portion of quilt that is green and yellow)
=1−( 2/6 + 3/6 )
=1 −5/6
=1/6
The value of 3° is
its from the chapter exponenets
Answers
Answer:
1
Step-by-step explanation:
=>. the value of 3° = 1
=> it is known to us that any number to the
power zero is equals to 1
hope it helps
For all values of x,
f(x) = 2x - 3
and
g(x) = x2 + 1
a) Find fg(x).
Simplify and give your answer in the form ax2 + b
b) Find gf(x).
Simplify and give your answer in the form ax2 + bx + c
I DONT NEED THE ANSWER TO A, I JUST NEED B
Answers
Answer:
The composition g(f(x)) is:
[tex]g(f(x))=4x^{2}-12x+10[/tex]
Step-by-step explanation:
b) g(f(x)) is a function composition.
So we will have:
[tex]g(f(x))=(f(x))^{2}+1[/tex]
[tex]g(f(x))=(2x-3)^{2}+1[/tex]
[tex]g(f(x))=4x^{2}-12x+9+1[/tex]
[tex]g(f(x))=4x^{2}-12x+10[/tex]
Here:
a is 4
b is -12
c is 10
I hope it helps you!
Rewrite the number in standard notation.
8 times 10 ^8
Answers
Answer:
80
Step-by-step explanation:
8 times 10 equals 80
8*10 = 80
Answer:
800000000
Step-by-step explanation:
multiple 8 by 10^8 or 100000000
HELP MEH PLZZZZZZZZZZ
Answers
15y= -3x + 45
y= -3/15x + 3
y= -1/5x + 3
can someone help i have several questions like this i also need the work shown
Answers
Answer:
x = 8
Step-by-step explanation:
Create the expression:
10(x + 10) = 9(9 + 11)
Do PEMDAS (Parenthesis):
10(x + 10) = 9(20)
Do PEMDAS (Multiplication):
10x + 100 = 180
Cancel out:
10x + 100 = 180
-100 -100
10x = 80
Simpilfy:
x = 8
2+5.67890654321678-5432
Answers
Please help me find the value of x in the rectangle ABCD
Answers
Answer:
x = 52
Step-by-step explanation:
Hello there!
All of the angles in a rectangle are right angles
if a right angle has a measure of 90 degrees then we can find x by subtracting the given angle from 90
90 - 38 = 52 so we can conclude that x= 52
Step-by-step explanation:
Each angle in a quadrilateral is 90⁰ therefore 38⁰+x=90⁰
hence x=90⁰-38⁰ which gives you 52⁰
Lilo has 1,000 minutes per month on her cell phone plan. Write and solve an inequality showing the maximum number of minutes that Lilo can use it not be charge extra on her cell phone plan when she only used 615 minutes.
Answers
Answer:
Lilo has a maximum of 385 minutes to use on her cell phone.
A ≤ 385
Step-by-step explanation:
Let letter A represent the additional number of minutes that Lilo can talk
A + 615 ≤ 1,000
subtract 615 from both sides
A + 615 - 615 ≤ 1,000 - 615
A + 0 ≤ 385
A ≤ 385
Lilo has a maximum of 385 minutes to use on her cell phone.
A + 615 ≤ 1,000; A ≤ 385
use the following values for x {-1 ,0 , 1 , 2 } for the function f{x} = 4x+3 to make a function table
please help me , and thanks
Answers
Answer:
f(x)= -1
f(x)= 3
f(x)= 7
f(x)= 11
Step-by-step explanation:
You need to add the values of x into the function
f(x)= 4(-1) + 3
f(x)= 4(0) + 3
f(x)= 4(1) + 3
f(x)= 4(2) + 3
find the unknown value in the pair of equivalent fractions.
5/? = 15/45
Answers
The square root of 5 , has a decimal expansion that does not end or repeat. To which set of numbers does it belong?
A. rational
B. Natural
C. Integer
D. Irrational
Answers
Answer:
Irrational numbers is correct.
The required square root of 5 is an irrational number.
Given that,
The square root of 5, has a decimal expansion that does not end or repeat. To which set of numbers does it belong is to be determined.
In mathematics, a rational number is a number that can be described as the result of a fraction of value or does not have face value.
What are irrational numbers?An irrational number is a type of real number which cannot be represented as a simple fraction or the values that have face value are irrational numbers. Example: √2, √3, and π are all irrational.
Here,
√5 = 2.2360679775..
Which is an irrational number.
Thus, the required square root of 5 is an irrational number.
Learn more about rational numbers here:
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Calculate the geometric mean of 12 and 20
Answers
Answer:
The Geometric mean of two numbers is the square root of their product.
Given numbers are 12,20.
Geometric mean = √(12*20)
= √240.
= 15.49.
= 15.5.
The geometric mean of 12 and 20 is 4√15.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 3 + 3x + 4y = 7 is an expression.
We have,
The geometric mean of a and b is √(ab).
Now,
a = 12 and b = 20
so,
The geometric mean of 12 and 20.
= √(12 x 20)
= √240
= 4√15
Thus,
The geometric mean of 12 and 20 is 4√15.
Learn more about expressions here:
https://brainly.com/question/3118662
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pleaseee help meeee i need help
Answers
Answer:
[tex] \boxed{ \boxed{{x}^{2n- 1} . {y}^{2n - 1} }}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:law of exponentPEMDAStips and formulas:[tex] \frac{ {x}^{m} }{ {x}^{n} } < = > {x}^{m - n} [/tex]let's solve:[tex] \sf use \: the \: formula : \\ \tt \frac{ {x}^{2n + 4}. {y}^{4n} }{ {x}^{5} . {y}^{2n + 1} } \\ \tt {x}^{2n + 4 - 5} . {y}^{4n - 2x - 1} [/tex][tex] \sf simplify \: subtraction : \\ \tt {x}^{2n- 1} . {y}^{2n - 1} [/tex]Find the total surface area of the prism
Answers
Answer:
A. 88 square inches
Step-by-step explanation:
I hope this is right
Answer:
88in^2
Step-by-step explanation:
find the surface area of each surface
4 x 2 = 8
2 x 6 = 12
6 x 4 = 24
there is 2 of each type of surface so multiply by 2 then add all surface areas together
16 + 24 +48 = 88
What is the area of the rectangle below?
Answers
Answer: 270
Step-by-step explanation:
Length x width= area
15x 18= area
15 x 18= 279