The required angles from smallest to largest are m<M < m<L < m<K
Given the coordinate of the triangle KLM given as K(-2,-2), L(2, 6), M(7, -2)
The angle opposite the side KL is m<MThe angle opposite the side KM is m<LThe angle opposite the side LM is m<KGet the measure of KL, KM and LM using the distance formula as shown:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y)_1)^2}[/tex]
For the length KL with coordinate points K(-2,-2), L(2, 6)
[tex]KL=\sqrt{(2-(-2))^2+(6-(-2))^2}\\KL=\sqrt{4^2+8^2}\\KL=\sqrt{16+64}\\KL=\sqrt{80}\\KL =4\sqrt{5}[/tex]
For the length KM with coordinate points K(-2,-2), M(7, -2)
[tex]KM=\sqrt{(7-(-2))^2+(-2-(-2))^2}\\KM=\sqrt{9^2+0^2}\\KM=\sqrt{81}\\KM=9[/tex]
The length LM with coordinate points L(2,6), M(7, -2)
[tex]LM=\sqrt{(7--2)^2+(-2-6)^2}\\LM=\sqrt{5^2+(-8)^2}\\LM=\sqrt{25+64}\\LM=\sqrt{89}[/tex]
From the distances, we can see that side LM > KM > KL. Hence the required angles from smallest to largest are m<M < m<L < m<K
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The first three terms of an arithmetic sequence are given. Find an expression for Tn in terms of n:
a, 2a, 3a
Answer:
tn = n·a
t10 = 10a
Step-by-step explanation:
We observe that the coefficient of 'a' is the term number:
tn = n·a
t10 = 10a
Step-by-step explanation:
The graph of a proportional relationship passes through (12, 16) and (1, y). Find y.
Answer:y=16
Step-by-step explanation:
Which line is the STEEPEST?
A) y =1/3x-1
B) y = 8x – 1
C) y = 4x – 1
D) y = 2x – 1
How do I solve this
Step-by-step explanation:
exterior angle is the sum of two opposite interior angle
11x+9=3x+12+85
11x-3x=88
8x=88
x=11.
hope this helps you.
Answer:
x=11
Step-by-step explanation:
85 + 3x + 12= 11x+9
97 +3x= 11x+9
-97 -97
3x= 11x - 88
-11x -11x
-8x = -88
/-8 /-8
x=11
can someone pls help me expand and simplify 2(3x+4) - 3 (4x-5)
Answer:
23 - 6x
Step-by-step explanation:
2(3x+4) - 3(4x-5)
6x + 8 - 12x +15 (distributing)
23 - 6x (combining like terms)
giving brainly, show work! teacher said this was wrong, specifically the sheldon calculations part, so what's the correct answer?
Step-by-step explanation:
Sheldon's brother shoveled 2/3 of the driveway
Remaining portion = 1 - ⅔
= (3-2)/3
= 1/3
Sheldon shoveled 3/4 of what was left= ¾ × ⅓
= ¼
Sheldon shoveled ¼ or 0.25 of the driveway
Ahmed shoveled ⁴/5 of half of the driveway = 4/5 × ½
= 2/5
Ahmed shoveled 2/5 or 0.4 of the driveway
0.4 > 0.25
therefore, Ahmed will have the larger area to shovel
Answer:
Ahmed shoveled more
Step-by-step explanation:
you need to do 3/4 - 2/3 which is 1/12 so the you do 1/12 x 3/4 = 3/48
compare with 4/15 and 4/15 is higher so that what you got wrong
Solve (x 3)2 (x 3) â€"" 2 = 0. Let u =.
The solution to the original equation will be -2 and -6
Given the function [tex](x + 3)^2 + (x + 3) - 2 = 0.[/tex]
If u = x + 3, the function in terms of "u" will be;
[tex]u^2+u-2=0[/tex]
Factorize the resulting equation as shown:
[tex]u^2+u-2=0\\u^2+2u-u-2=0\\u(u+2)-1(u+2)=0\\(u-1)(u+3) = 0\\u=1 \ and \ -3[/tex]
Since x + 3 = u
x = u - 3
If u = 1
x = 1 - 3 = -2
If u = -3
x = -3 - 3 = -6
Hence the solution to the original equation will be -2 and -6
Correct question:
Solve (x + 3)^2 + (x + 3) – 2 = 0. Let u = Rewrite the equation in terms of u. (u2 + 3) + u – 2 = 0 u2 + u – 2 = 0 (u2 + 9) + u – 2 = 0 u2 + u + 1 = 0 Factor the equation. What are the solutions of the original equation?
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Write and solve a system of THREE inequalities that models the situation below.
Terrence is going to make and sell cupcakes and giant cookies as a fundraiser to earn money for his bank uniform. He sells the cupcakes for $1.25 each and the cookies for $0.75. He knows he will sell at least 10 cupcakes and 24 cookies. He wants to make at least $50. Find a possible combination of cupcakes and cookies he needs to sell to meet his goal.
Answer:
x = cupcakes
y = cookies
3x + 1y ≥ 205
x cupcakes at $3 each plus y cookies at $1 each is greater than or equal to $205
Step-by-step explanation:
how many solutions does x squared= 4x -5 have
Answer: There are no solutions
Answer:
Two
Step-by-step explanation:
x^2 = 4x - 5 is equivalent to x^2 - 4x + 5 = 0 in standard quadratic form.
All quadratics have exactly two roots/solutions.
In this case the coefficients of the polynomial are 1, -4 and 5, and so the discriminant is b^2 - 4ac, or (-4)^2 - 4(1)(5), or 16 - 20 = -4.
Since the discriminant is negative, we conclude that this polynomial has two complex roots/solutions.
Which of the following is the equation in slope-intercept form for the line that passes through points (- 4, 1) and \ -3,0\; y = - x + 5; y = - x - 3; y = x + 2 None of these choices are correct
Answer:
there y= -x - 3 is correct
Step-by-step explanation:
(-4,1) ; (-3,0)
y= -x - 3
with (-4,1)
1 = -(-4) - 3 = 4 - 3 = 1. left = right
with (-3,0)
0 = -(-3) - 3 = 3 - 3 = 0. left = right
so the line y = -x - 3 is passes through points (-4,1) and (-3,0)
A person at rest typically takes 720 breaths in an hour.At this rate,how many breaths does a person take in 15 minutes?
Answer:
180
Step-by-step explanation:
what does FSS stand for in math
Answer:
frequency-selective surface (FSS)
You are to paint the globe held aloft by a statue of Atlas. The diameter of the globe is 10.5 in. How much surface area must you cover with paint if 27 square inches does not need to be painted (to the nearest hundredth)?
Answer:
Step-by-step explanation:
We have been given that we need to paint the globe held aloft by a statue of Atlas. Its diameter is 10.5 in.
First of all we will find the area of globe using area of sphere formula.
, where r represents the radius of sphere.
Since diameter is 2 times the radius, so the radius of our given globe will be:
Since 27 square inches does not need to be painted, so the area we must cover with paint will be:
Upon rounding our answer to nearest hundredth we will get,
Therefore, we must cover 319.36 square inches with paint.
Factor 42x+28y using the GCF
Answer:
14 (3x+2y)
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
Write an equation of the line that passes through the given point and is (a) parallel and (b)
perpendicular to the given line
Answer:
parallel line: y=-3x+14
perpendicular line: y=1/3x +2/3
Step-by-step explanation:
For the parallel line, use the point-slope formula to find the equation of the parallel line (since the slope is the same as the given line and the point (4,2) is given. For the perpendicular line, use the opposite reciprocal of the slope of the given line and use the point-slope formula again. The point-slope formula is Y-Y1=m(X-X1)
Ummmm would 3x+4 be positive on a graph
Answer:
Part of the time
Step-by-step explanation:
This is a linear line, meaning it is an infinite straight line. Part of the time it will be more than 0, part of the time it will be less than 0.
Answer:
Yes there would be a positive correlation on a graph.
Step-by-step explanation:
Say we use 0 as our X value. We get 4 as our Y value. Another example we can use is 10. We get 34 as our Y intercept.
Need help l don’t understand
Step-by-step explanation:
open brackets and work out
Answer:
x = 12
Step-by-step explanation:
9(x - 11) = 9 ( divide both sides by 9 )
x - 11 = 1 ( add 11 to both sides )
x = 12
A large bowl and a small bowl both contain gems. of the gems in each bowl are red. All the gems from the two bowls are now put into a third bowl. What fraction of the gems in the third bowl will be red?
Help me please! I need help ill give brainliest
Answer:
26 1/4
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
You add up both fractions, sorry for the lazy explanation
HELP WITH THESE 3 QUESTIONS (BRIANLIEST AND 50 POINTS) hint: question 1 is answered (NO LINKS)
Amos scored 100 points while playing 3 rounds of a game.
Round 1 : 30 points
Round 2 : 25 points
Round 3 : ?
How many points did he score in round 3?
Complete the steps to solve the problem
1. What do you need to solve for in this problem? Choose a variable to represent this unknown value. answer: Round 3 = x
x + 30 + 25 = 100
2. Using the variable you chose, write an equation to represent this situation. (Hint: You may want to put the number of points in each round on one side and the total number of points on the other.
3. Solve this equation to find how many points Amos scored in round 3. Show your work.
Answer:
45 points in round 3
Step-by-step explanation:
x + 30 + 25 = 100
combine like terms
30+25 = 55
x + 55 = 100
- 55 - 55
--------------------
x = 45
therefore, Amos scored 45 points in round 3
hope this helps! :D
have a MIRACULOUS day, and brainliest is immensely appreciated!! <3
Answer:
x = 45 points
Round 3 : 45 points
Step-by-step explanation:
Starting Information:
100 points = 3 rounds
Round 1 : 30 points
Round 2 : 25 points
Round 3 : x
Subtraction:
To find x we need to subtract 30 and 25 from 100
100 - 25 - 30 = x points
Combine -30 and -25 into -55
100 - 55 = x
100 - 55 = 45
In round 3 he scored 45 points
Addition:
To find x we need to add 30 + 25 + x and get a sum of 100
25 + 30 + x = 100
Combine 25 and 30
55 + x = 100
Subtract 55 from each side
x = 45
Here are the 2 expressions I used:
25 + 30 + x = 100
100 - 25 - 30 = x
Note:
My work is not number assigned but hopefully you can understand it :)
Which of the following is true of the location of the terminal side of an angle, Theta, whose sine value is One-half? Theta has a reference angle of 30° and is in Quadrant I or II Theta has a reference angle of 30° and is in Quadrant I or IV Theta has a reference angle of 60° and is in Quadrant I or II Theta has a reference angle of 60° and is in Quadrant I or IV.
The sine of the angle theta is given by the ratio of the opposite leg to the hypotenuse side of the right triangle formed by the terminal segment.
The true location of the terminal side of the angle θ is given by the option; Theta has a reference angle of 30° and is in Quadrant I or II.Reasons:
The given parameters are;
The sine value of the given angle = One-half
Required: To select the true statement of the location of the terminal side.
Solution:
Given that sin(θ) = 0.5, we have;
The sine of an angle is positive in Quadrant I and Quadrant II
Given that the value of sin(θ) is positive, we have θ is in Quadrant I or Quadrant IIThe reference angle, is the angle formed between the angle's terminal side and x-axis
By trigonometric ratios, considering the reference angle, we have;
θ = arcsin(0.5) = 30°
Therefore;
The option that gives the true location of the terminal side of an angle, that have a sine value of One-half is; Theta has a reference angle of 30° and is in Quadrant I or II.
Learn more about trigonometric ratios here:
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Answer:
a
Step-by-step explanation:
edge
If l || m, find the value of x
Answer:
x = 27°
Step-by-step explanation:
l ║ m Given
(x + 72) + (3x) = 180° If parallel line then same-side angles = 180°
4x + 72° = 180°
4x = 180° - 72°
4x = 108°
x = 108°/4
x = 27°
WILL GIVE BRAINLIEST
Write the sentence below as an equation or inequality.
Craig has six less than half of the amount of dollars Bo has.
Group of answer choices
x
=
y
2
−
6
x
=
6
−
y
2
x
=
2
y
−
6
x
=
6
−
2
y
Answer:
c = b/2 - 6
Step-by-step explanation:
let 'b' = amount Bo has
let 'c' = amount Craig has
c = b/2 - 6
PLEASE HELP ME I AM STUCK AND I HAVE A HEADACHE I WILL GIVE BRAINLIST!!!!!!!
First, we can eliminate d(x) because we can see it's a linear line. We can also eliminate a(x) because it's also a linear line. Both b(x) and c(x) have an asymptote. on b(x) you can see that x = 3 is the asymptote. For c(x) if it's graphed, it has a horizontal asymptote at y = -1.
Hope this helps!
Select the correct expression
r less than 52
Answer:
no because r is a varible that dont have number
The correct expression of r less than 52 is r<52.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is r less than 52
We have to write in the form of inequality
A relationship between two expressions or values that are not equal to each other is called 'inequality.
The less than represents the relationship between r and 52
In the given expression r is the variable
r<52 is the required expression or inequality
Hence, the correct expression of r less than 52 is r<52.
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What percentage of 50 is 12?
Answer:
that would be 24%
Step-by-step explanation:
Now we can see that our fraction is 24/100, which means that 12/50 as a percentage is 24%.
Answer:
24%
Step-by-step explanation:
the fraction form is 24/100, meaning the percentage is 24% put of 100%
Jada has p pennies and n nickels that add up to more than 40 cents. She has fewer than 20 coins altogether.
A. Write a system of inequalities that represents how many pennies and nickels that Jada could have.
Answer:
5n+p>40
n+p<20
Step-by-step explanation:
Answer:
Answer below
Step-by-step explanation:
The currency called the dollar can be split into smaller forms called nickels, pennies, dimes, and quarters.
The system of inequalities that represents how many pennies and nickels that Jada could have is given as:
p + n < 20
0.01p + 0.05n > 0.40
Let's represent the number of :
pennies = p
nickels = n
It is important to also note that:
1 penny = $0.01
1 nickel = $0.05
40 cents can also be written as: $0.40
Jada has p pennies and n nickels that add up to more than 40 cents.
The word more than means greater than and this can be represented by the inequality sign ">". Hence, our inequality equation is given as:
$0.01 x p + $0.05 x n > $0.40
0.01p + 0.05n > 0.40
She had fewer than 20 coins altogether.
The word fewer means less than and this can be represented by the inequality sign "<". Hence, our inequality equation is given as:
p + n < 20
Therefore, the system of inequalities that represents how many pennies and nickels that Jada could have is given as:
p + n < 200.01p + 0.05n > 0.40
Correct answer is p + n < 20 0.01p + 0.05n > 0.40
_____________________________________________________
(Hope this helps can I pls have brainlist (crown)☺️)
the amount of money M , in dollars, Paul earns can be represented by the equation M=12.5h+11, where h is the number of hours paul works. which answer is the best interpretation of the number 11 in the equation
Answer: 11 represents the extra amount of money he gets.
Step-by-step explanation: I say this because for example, the 11 can represent how much money he gets for being present at work. 11 could also represent the extra money he earns.
The best interpretation of the number 11 in the equation is that 11 represents the extra amount of money he gets.
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation.
Given data the amount of money M , in dollars, Paul earns can be represented by the equation M=12.5h+11, where h is the number of hours paul works.
Now , M=12.5h+11,
On comparing with striaght line equation we can say that the slope is 12.5
So, number 11 in the equation represents the extra amount of money he gets for being present at work.
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PLs HELP I HAVE A HEADACHE I WILL GIVE BRAINLY
Answer:
Have some water and take a short break from the screen if possible, maybe get a few minutes of fresh air
First, and x-intercept at the origin simply means the line passes through 0, 0. On both graphs given we can, we can see that they do not touch 0,0. From the table as well, y at x = 0 does not equal 0. Finally, this leaves c(x). C(x) does pass through 0, 0.
Hope this helps!
An equation of a line through (-12, -12) which is parallel to the line y = 3 x + 2 has slope:
Answer:
3. Parallel lines have the same slope but different y-intercepts, so they never intercept each other.
Step-by-step explanation: