Answers
The value of x is 15. The measurement of m∠M = 20°
What is an equilateral triangle?
An equilateral triangle in geometry is a triangle with equal-length sides on all three sides. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60° and congruent with the others.
The length each side of △ABC is 9 units.
Thus it is an equilateral triangle. The measurement of each angle is 60°.
Given that, ∠ABC = 4x°.
Therefore, 4x° = 60°
Divide both sides by 4:
x = 15
43)
Given that, △LMN and △QRS are congruent triangle.
∠MNL = ∠QRS = 90°.
∠MLN = ∠QSR = 70°
and ∠NML = ∠RQS = x° (say)
The sum of all three angles of a triangle is 180°.
∠MNL + ∠MLN + ∠NML = 180°
90° + 70° + x° = 180°
Add like terms:
160° + x° =180°
Subtract 160° from both sides:
x° = 20°
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Related Questions
determine whether the function represents exponential growth or decay calculator
Answers
From the given information, Therefore, the function [tex]= > y = 4(\frac{5}{6} )^x[/tex] is an exponential decay.
What is exponential decay?The process of decreasing a sum at a constant percentage rate over time is referred to in mathematics as exponential decay. It may be written as the formula y=a(1-b)x, where y represents the final amount and a, b, and x, respectively, represent the initial amount and the decay factor.
The formula for an exponential function is where b is a positive integer that is not equal to 1.
Whether a function is an exponential growth or a decay depends on the value of b. If b > 1 or if b< 1, an exponential function exhibits exponential growth and exponential decline, respectively.
given,
[tex]= > y = 4(\frac{5}{6} )^x[/tex]
[tex]= > b = \frac{5}{6} < 1[/tex]
Therefore, the function [tex]= > y = 4(\frac{5}{6} )^x[/tex] is an exponential decay.
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Ticket sales for Six Flags White Water totaled $94,520 this summer. Tickets for the water park cost $17 each. How many tickets were sold?
Answers
The number of tickets that will be sold is 5,560.
What is division?
A division is one of the fundamental mathematical operations that divides a larger number into smaller groups with the same number of components. How many total groups will be established, for instance, if 20 students need to be separated into groups of five for a sporting event? The division operation makes it simple to tackle such issues. Divide 20 by 5 in this case. 20 x 5 = 4 will be the outcome. There will therefore be 4 groups with 5 students each. By multiplying 4 by 5 and receiving the result 20, you may confirm this value.
Ticket sales for Six Flags White Water totaled $94,520 this summer.
Tickets for the water park cost $17 each.
The number of tickets that will be sold is = $94,520/17 = 5,560.
Hence the number of tickets that will be sold is 5,560.
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for any given flight, an airline tries to sell as many tickets as possible. suppose that on average, 10% of ticket holders fail to show up, all independent of one another. knowing this, an airline will sell more tickets than there are seats available, and hope that there is a sufficient number of ticket holders who do not show up to compensate for its overbooking. using the central limit theorem, determine n, the maximum number of tickets an airline should sell on a flight with 300 seats so that it can be approximately 99% confident that all ticket holders who do show up will be able to board the plane. use the 1/2-value-correction (called de moivre-laplace approximation) in your calculation.
Answers
The maximum number of tickets an airline should sell on a flight with 300 seats so that it can be approximately 99% confident that all ticket holders who do show up will be able to board the plane is 324.
The maximum number of tickets an airline should sell on a flight with 300 seats so that it can be approximately 99% confident that all ticket holders who do show up will be able to board the plane is 326. This is calculated using the 1/2-value correction (de Moivre-Laplace Approximation). The 1/2-value correction assumes the normal distribution is symmetric, with the mean in the middle of the distribution. This means that the probability of being above the mean is equal to the probability of being below the mean. Since the airline wants to be 99% confident that all ticket holders who do show up will be able to board the plane, this means that the airline needs to sell enough tickets such that the probability of being above the mean (300 tickets sold) is 99%. Using the 1/2-value correction, the airline needs to sell 326 tickets to achieve this confidence level.
This is calculated as follows: P(x > 300) = 0.99 P(x < 300) = 0.01 Using the 1/2-value-correction:
P(x = 300 + 0.5) = 0.99
Therefore, x = 300 + 0.5=> x = 300.5 => x = 326
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Identify the perimeter and area of the figure.
50 cm; 42 cm2
50 cm; 54 cm2
34 cm; 54 cm2
34 cm; 42 cm2
Answers
Answer:
Perimeter 34 cm
Area 42 [tex]cm^{2}[/tex]
Step-by-step explanation:
Perimeter:
Perimeter is the measurement of the distance around the figure. I started on the far left of the rectangle and then went around counter clockwise.
3 + 3 + 3 + 5 + 3 + 3 (this is not labeled, but I see that the other sides is 3)
+3 + 5 + 3 + 3
8(3) + 2( 5) = 24 + 10 = 34
The perimeter is 34 cm
Area:
Area of the rectangle
a = l x w
a = 10(3) = 30
Area of the triangle
a = 1/2 (l x w)
a = 1/2(4 x 3) = 1/2(12) = 6
There are 2 triangles so the area of both is 12
Total area: 30 + 12 = 42
The area is 42 [tex]cm^{2}[/tex]
For the functions f(t) = 5t and g(t) = sin(t) defined on 0≤t<[infinity], compute f * g in two different ways.a. By directly evaluating the integral in the definition of f * g.b. By computing L−1{F(s)G(s)} where F(s)=L{f(t)} and G(s)=L{g(t)}.
Answers
The laplace inverse transformation L−1{F(s)G(s)} = 5 [tex]\frac{2s}{s^{2} + 1^{2} }[/tex]
If L{f(t)} = F(s), then the inverse Laplace transform of F(s) is
L−1{F(s)} = f(t). (1)
The inverse transform L−1is a linear operator:
L−1{F(s) + G(s)} = L−1{F(s)} + L−1{G(s)}, (2)
andL−1{cF(s)} = cL−1{F(s)}, (3)
for any constant c
given functions are
f(t) =5t ,g(t) = sin(t)
L(f(t)) = F(s)
L{F(s)*G(s)} = L^-1{5tsin(t)}
=5L^-1{tsin(t)}
=5L^-1{[tex]\frac{d}{ds}[/tex] tsin(t)}
= 5 [tex]\frac{2s}{s^{2} + 1^{2} }[/tex]
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$6,000 for six years at 8½% compounded daily will grow to:
Multiple Choice
$9,060.00
$9,788.81
$9,991.15
Answers
It will grow to $9991.15
14. Which of the following is a mixed number?
Α. 2.3
B.5%
C.2%2
D.25
Answers
Answer:
A. 2.3
Step-by-step explanation:
because it become 23/10 when you turn it into a fraction
Which of the following is true about the above arrow diagram? It does not define a function because 2 is not mapped to any element of B It properly defines a function but it is not a one-to-one function It properly defines a function but it is not a one-to-one correspondence It properly defines a function but it is not onto Which of the following functions is a one-to-one function?
f: Z - Z, where f(n) = n2 + 6 f: R → R, where f(x) = 5x + 3 f: Z - Z, where f(n) = In - 1 f: R - R, where f(x) = 4x2
Answers
The given functions we proved and solved.
(1) given mapping is not a function because element 1 in domain has two distinct images 2 and 3.
For the function we must have for every element of domain there must be unique image in co-domain.
It does not define a function......(option First)
(2) As we know mod function always returns with positive sign
Therefore domain and co domain are already given to be integers.
Range set will set of non-negative integers.
(3) Here we have from the graph
f(-2) and f(0)=1
The only map satisfies these two conditions is:
f(x) = x+1
(4) The second function f:R→R such that f(x)=2x+7 is the ony one-one function.
Because f(x)=f(y)
2x+7=2y+7
2x=2y
x=y
Hence f(x) is one one.
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1 Apply Ana is bowling. She pays $4 per game and $7 to rent shoes. After three games, each additional game is free. Is the total cost to bowl a function of the number of games played?
Answers
Answer:
game is free. Is the total cost to bowl a function of the
Step-by-step explanation:
a hypothesis test was performed to decide whether houses are more prone to being lost to fire than condominiums are. the researcher looked at 1500 randomly selected houses and 1200 randomly selected condominiums over a ten year period. then, since over 30 of each were in the sample, the researcher can use a z-test for the difference between two proportions.
o False
o True
Answers
It is false, the researcher cannot use a z-test for the difference between two proportions.
A hypothesis test was performed to decide whether houses are more prone to being lost to fire than condominiums are. the researcher looked at 1500 randomly selected houses and 1200 randomly selected condominiums over a ten year period. then, since over 30 of each were in the sample, the researcher cannot use a z-test for the difference between two proportions.
z = (X - mean)/(SD/√n)
Where SD is the standard deviation and n is the number of observations.
Here, the required value is not provided. So, we cannot use the z - test.
Therefore, the researcher cannot use a z-test for the difference between two proportions, so the given statement is false.
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Solve this system using the substitution method.
-2x – y = -7
x + 7y = 10
Solve using the substitution method and be sure to show all of your work.
Answers
Using the substitution method equation form is x is 3 and y is1
What is substitution method?The algebraic approach to solving simultaneous linear equations is known as substitution method. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies.Finding the value of any variable from one equation in terms of another variable is the first step in the substitution method. For instance, if there are two equations,-2x – y = -7 and x + 7y = 10, Applying the replacement approach begins with this.One of the equations' initial variable should be solved for, and the answer should be inserted into the other equation.Form of Point: (3 , 1 )
Equation Form: x = 3 and y =1
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Which of the following can be a representation of a function?
Answers
All of the above can be a representation of a function:
A graph can be used to visualize a function.A table can be used to show input and output values.An equation can be used to express the relationships between the inputs and the outputs.Which of the following can be a representation of a function?Option D. All of the aboveA function can be represented in a variety of ways, such as:
A graph is a useful tool for visualizing the relationship between inputs and outputs of a function. A table can be used to represent the inputs and outputs of a function.An equation can be used to express the relationship between the inputs and outputs.All of these methods are valid representations of a function and can be used to explore and better understand the function.
Since the question is not complete, here's the full task:Which of the following can be a representation of a function?
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PLEASE HELP! I'LL MARK YOU AS THE BRAINIEST AND I'LL GIVE YOU A LOT OF POINTS!
Answers
Answer:
B) -2x+y=8
Step-by-step explanation:
First I looked at the graph and found the y-intercept and slope.
Y-intercept = 8
I found that because the point was the on the y-axis line like (0,8)
To find the slope I identified the next point. From the Y-intercept (0,8), you have to go down 8 units. Then I saw the point go left 4 units which makes it negative.
Slope = -8/4, which is also -2
Slope Intercept Equation (y=mx+b) would be: y=-2x+8
Then I compared it to the options and that's what I got.
Order the answers of these following expressions from least to greatest. -13 + 12= . -3 - (-2) + 3= . -3 + 9= . 9 + (-15)= . 13 - (-13)= .
Answers
The answers of the given expressions ordered from least to greatest is
-6, -1, 2, 6, 26
Ordering the answers of expressions from least to greatestFrom the question, we are to order the answers of the given expressions from the least to greatest
To do this, we will evaluate the expressions
Evaluating -13 + 12 =-13 + 12 = -1
Evaluating -3 - (-2) + 3-3 - (-2) + 3
-3 + 2 + 3 = 2
Evaluating -3 + 9 =-3 + 9 = 6
Evaluating 9 + (-15)9 + (-15)
9 - 15 = -6
Evaluating 13 - (-13)13 - (-13)
13 + 13 = 26
Hence, ordering the answers from least to greatest, we get
-6, -1, 2, 6, 26
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Question 1 of 10
If two triangles are congruent, which of the following statements must be
true? Check all that apply.
A. The corresponding sides of the triangles are congruent.
B. The triangles have the same shape.
C. The corresponding angles of the triangles are congruent.
D. The triangles have the same size.
Answers
Answer:
b c and d
Step-by-step explanation:
Jada has $260 to spend on flowers for school celebration. She decides that the only flower that she wants to buy are roses and carnations. Roses cost $1.50 each and carnations cost $0.65 each. Jada buys enough roses so that each of the 75 people attending the event can take home at least one rose. Let x be the number of roses and y be the number of carnations.
a. Write an inequity to represent the constant “that every person takes home at least one rose”
b. Write an inequality to represent the cost constraints?
Answers
R ≥75 will be the inequality to symbolize the need that each individual bring home at least one rose, and for the cost requirement, it will be, 1.45R + 0.65C ≤ 200.
What is inequality?
A connection that compares two numbers or other mathematical expressions unequally is known as an inequality in mathematics. Most frequently applied when comparing two numbers on the number line that differ in size.
Given:
Jada has $200 she can use to buy flowers. Each carnation costs $0.65 and a rose costs $1.45, so 75 guests may leave with at least one rose.
Jada has a total of $200.
Let R be the number of roses Jada bought.
There will be 75 persons in all present at the event.
As a result, the cost of R roses at $1.45 each is 1.45R.
Combined with roses C: Jada bought carnations.
Currently, each carnation costs $0.65.
Cost of C carnations at $0.65 per flower, then, equals 0.65C.
Inequality will serve as a restraint that requires everyone to bring home at least one rose,
[tex]R \geq 75[/tex]
There will be inequality that represents the cost limitation.
[tex]1.45R + 0.65C \leq 200[/tex]
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which option proves the following statement by contradiction? for all real numbers r and s, if r is rational and s is irrational, then r 2s is irrational. proof (by contradiction): suppose not. that is, suppose there are real numbers r and s such that r is rational and s is irrational and r 2s is rational. [we must show that this supposition leads logically to a contradiction.] by definition of rational,
Answers
Any whole number, fraction, or decimal that terminates or repeats is a rational number. Any number that cannot be divided into a fraction and hence does not meet the concept of a rational number is said to be irrational.
When it comes to rationality, we have
r + 2s = c/d and r = a/b.
The result of the substitution is a/b + 2s = c/d
2s= c/d-a/b=(bc-ad)/bd
s = (bc-ad)/2bd
Now that both (bc - ad) and (bd) are integers, bd is not equal to 0
As a result, the integer s is a quotient of the two integers (bc - ad) where bd is not equal to 0. So, s is rational according to the definition. This disproves the idea that s is irrational.
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• For which of the following equations is (3, - 1) not a solution?
Answers
Therefore , x +3 =y is the equation which is not the solution of point (3,-1)
What is equation ?Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign. It is demonstrated that the expressions on the left and right are equivalent to one another. LHS = RHS (left hand side = right hand side) appears in all mathematical equations.
Here,
The given equations are ( a) x-4= y (b) 2x -7 =y (c ) x +3 =y ( d) x/3 = -y
Thus from the given equation
We put, values in each of equation to find that values satisfy the equation or not
Thus, we found x +3 =y does not satisfy the point (3,-1)
Therefore , x +3 =y is the equation which is not the solution of point (3,-1)
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The correct question is -
For which of the following equations is (3, - 1) not a solution?
Group of answer choices - y=x-1, -3x=4y-6, 2y-3x=0, 5x+2y=-16
The perimeter of a rectangle 60 and the width is 14, what is the length of the rectangle.
Answers
The required length is 16 units in the given rectangle.
What is the perimeter of the rectangle?The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle = 2(L+W)
Where W is the width of the rectangle and L is the length of the rectangle
We have been given that the perimeter of a rectangle is 60 and the width is 14
To determine the length of the given rectangle.
P = 2(L+W)
Here P = 60, and W = 14
60 = 2(L + 14)
60/2 = L + 14
30 - 14 = L
L = 16
Thus, the required length is 16 units in the given rectangle.
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Multiply (2+3i)(13 – 6i) .
Answers
Answer:
44+27i
Step-by-step explanation:
Multiply using the FOIL method, then combine the real and imaginary parts of the expression.
PLEASEEE HELP THIS IS 3 GRAFE LEVELS ABOVE ME!
Check your answer to problem 4 by solving it using a different strategy Show your work.
Answers
Answer:
you are right
n=1
Step-by-step explanation:
1/2(-3/2n+1)=3/4-n
-3/4n+1/2=3/4-n
-3/4n+2/4=3/4-4/4n
+3/4n +3/4n
2/4=3/4-1/4n
-3/4. -3/4
-1/4= -1/4n
/-1/4. /-1/4
1=n
to check i normally just pop in the value (i know no other way in all my years of school)
1/2(-3/2(1)+1)=3/4-1
1/2(-3/2+1=3/4-1
1/2(-1/2)=-1/4
-1/4= -1/4
hopes this helps please mark brainliest
Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards without replacement from a standard deck. If both cards are diamonds, your friend will pay you $615. Otherwise, you have to pay your friend $37.
Step 2 of 2 :
If this same bet is made 621 times, how much would you expect to win or lose? Round your answer to two decimal places. Losses must be expressed as negative values.
Answers
If this same bet is made 621 times,then we expect to lose of $4514670
Probability
A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.
The bet is done 621 times then expected value is that we may have a loss of $4514670.if the bet is that is heart comes we will get $615 and lose $37 if not comes.
$615 if hearts come and lose $37 when not comes and bet is made 621 times. Calculate the expected win after 621 times.
There are 578 hearts in the standard deck of cards.
Probability is the chance of happening an event among all the events possible. The formula of calculating probability is as under:
Probability= number of items/ total number of items.
When two cards are chosen at random without replacement then the probability of getting two hearts is 578/52*577/51
=333,506/2652
=125.75
When two cards are chosen at random without replacement then the probability of not getting two hearts is 1-125.75
=124.75
When bet is made only 1 time expected value will be 125.75*615-124.75*37
=77,336.25 - 4,615.75
=-72720.5 means we are expecting to lose $2.05.
When bet is made 762 times then the expected value will be -72720*621= 4514670.
Then the expected value when bet is made 621 times is that we will lose $4514670 .
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Compute the surface integral ∫ ∫S F⋅dS, where F = , over the plane
33x−19y+z=1,0≤x,y≤1, oriented by the upward-pointing normal.
Answers
The surface area is 131 square units.
What is Surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies
An upward point normal to the plane 33x−19y+z=1,0≤x,y≤1 is is
N=<33,−19,1>
Therefore F⋅N=33y−19z+x
Since the plane is defined by the equation z=1+19y-33x
the dot product becomes 33x−(33y−19z+x)+x=628x-328y-19
The limits of integration are given as 0≤x≤1, 0≤y≤1
Therefore the surface integral becomes
∫ ∫S F⋅dS= [tex]\int\limits^1_0 \int\limits^1_0{(628x-328y-19)dy} \, dx[/tex]
=[tex]\int\limits^1_0{(628x-183)} \, dx[/tex]
=314x²-183x|₀¹
=131
Hence, the surface area is 131 square units.
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As Mercury revolves around the sun, it travels at a speed of approximately 30 miles per second. Convert this speed to kilometers per second. At this speed, how many kilometers will Mercury travel in 15 seconds? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
Answers
Therefore , 48 kilometers per second is the speed of Mercury as it orbits the Sun. Mercury's distance from Earth is 96 kilometers in 2 seconds.
What are speed and an example?An object's speed can be determined by calculating the distance it covers in a given amount of time. For instance, an automobile is moving at 70 miles per hour if it covers 70 miles in an hour (miles per hour).
Here,
The speed of Mercury as it orbits the Sun is 30 miles per second.
In kilometers/second, Mercury's rate of rotation around the Sun
= 30 1.6 kilometers per second
= 48 kilometers/second
Mercury will move right now in 2 seconds.
=> equals 48 + 2 kilometers
=> 96 kilometers.
Therefore , 48 kilometers per second is the speed of Mercury as it orbits the Sun. Mercury's distance from Earth is 96 kilometers in 2 seconds.
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The integer X, Y and Z each are perfect squares X greater than y greater than z greater than zero if x, y, z from an AP the smallest possible value of X is
Answers
49 is the smallest possible value of x.
Given: x, y, and z are three perfect square numbers.
What is the least x that can be?
Currently, we have three numbers by the stipulation:
x > y > z > 0
and AP has these figures.
Let's now list every perfect square from 1 to 10 in the following order: 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100.
As a result, we can observe that 25 is equal to the product of 1 plus 49.
The possible outcomes are 1, 25, and 49.
If x = 49 and z = 1, then
x + z / 2 = y
49 + 1 / 2 = y
y = 50 / 2
y = 25
Y is therefore 25 and X is 49.
As a result, 49 is the lowest value of x that can exist.
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For Questions 1-4: Evaluate the expression
7x+8xy-72y
O 366
O 376
O-366
O-376
when x=-2 and y=4
Answers
Step-by-step explanation:
7x+8xy-72y
Since x=-2 and y=4
Then u just input it
7(-2)+8(-2)(4)-72(4)
-14-64-288
-366
the area of a rectangle is square feet. determine the length and width if the length is times the width.
Answers
According to the given area of rectangle, the length and width of the rectangle is 7 and 21 respectively.
Area of rectangle
The standard form of calculating the area of the rectangle is written as,
A = l x w
where l refers the length and w refers the width of the rectangle.
Given,
Here we have given that the area of a rectangle is 147 square feet. And we need to determine the length and width if the length is three times the width.
Let us consider length of rectangle is n,
Then the width of rectangle is 3n.
Here we have to remember that the area of a rectangle is
=> A = n x 3n = 3n²
Here we are told that the area,
=> 3n²=147
Then the value of n² = 49
Therefore, the length is 7 and the width is 21.
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Which of the following is √ 48 simplified?
Answers
Answer:
4√3
Step-by-step explanation:
√48
If we factor it out we will get
√4^2 ⋅ 3
Then we pull terms out from under the radical
4√3
So, the answer is 4√3
If you can please give me 5 stars and Brainliest, thank you, and have a good day!
for which equation is 0 not a solution x 5 4 6 x 4 4 3 x 0 x 9 9
Answers
On solving the provided question we can say that the answer is third one , that equation is 3 x = 0.
What is quadratic equation?Any equation that can be written in standard form, with x denoting an unknown value and a, b, and c denoting known integers, is referred to as a quadratic equation in algebra. In general, it is assumed that a > 0; equations with a = 0 are thought to be degenerate since they become linear or even more basic.
Here,
thus ,the given equation :
x - 5 = 4
6 x + 4 = 4
3 x = 0
x + 9 = 9
Thus , the given equation 3 x = 0 have 0 as its solution.
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How to get
The midpoint of GH is M(-6,-3). One endpoint is H (-4,4). Find the coordinates of endpoint G
Answers
The coordinates of point G are (-8, -10)
What is the midpoint of a line?A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments
The midpoint of a line segment is the point on a segment that is at the same distance or halfway between the two ending points.
midpoint(M) = (-6, -3)
H = (-4, 4)
let the coordinates of G be (p,q)
taking the x coordinates for M, G and H
-6 = p -4/2
cross multiply
p -4 = -12
p = -12 + 4
p = -8
taking y-coordinates
-3 = q +4/2
q + 4 = -6
q = -6 -4
q = -10
coordinates of G (-8, -10)
in conclusion the coordinates of G is ( -8, -10)
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