A square room has a floor area of 49 square meters. The height of the room is 8 meters. What is the total area of all four walls?​

Answers

Answer 1

The total area of all four walls is 224 square meters.

According to the question,

We have the following information:

A square room has a floor area of 49 square meters.

So, we have:

Area of square = 49 square meters

Side*side = 49

Side = [tex]\sqrt{49}[/tex] m

Side of the square = 7 m

Now, the side of the floor will be the width of the wall.

So, we have the width of the wall = 7 m.

The height of the room is 8 meters.

It means that the height of the wall is 8 m.

Area of 1 rectangular wall = length*width

Area of wall = 8*7

Area of 1 wall = 56 square meters

Now, the are of 4 walls will be (4*56) square meters or 224 square meters.

Hence, the total are of all four walls is 224 square meters.

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Related Questions

Write the equation for a circle with the following informationcenter: (5,-3) radius: 7

Answers

Step 1: Problem

To determine the equation of a circle with centre (5, -3) and radius 7

Step 2: Substitute the centre value and radius to the equation

[tex]\begin{gathered} \text{Equation of a circle} \\ (x-a)^2+(y-b)^2=r^2 \\ \text{centre (5,-3) , radius =7} \\ a=5,\text{ b=-3, r=7} \\ (x-5)^2+(y-(-3))^2=7^2 \end{gathered}[/tex]

Step 3: Simplify the above equation

[tex]\begin{gathered} (x-5)(x-5)\text{ + (y+3)(y+3) = 49} \\ x^2-5x-5x+25+y^2+3y+3y+9=49 \\ x^2-10x+25+y^2+6y+9=49 \\ x^2+y^2-10x+6y=49-25-9 \\ x^2+y^2-10x+6y=15 \\ x^2+y^2-10x+6y-15=0 \end{gathered}[/tex]

Hence the equation of the circle is

[tex]x^2+y^2-10x+6y-15=0[/tex]

draw a right triangle with a leg that as a length of 10 and the angle opposite to that side is 55 degrees. find the length of the hypotenuse. round your answer to nearest tenth.

Answers

Question:

Draw a right triangle with a leg that has a length of 10 and the angle opposite to that side is 55 degrees. find the length of the hypotenuse. round your answer to the nearest tenth.​

Solution:

A right triangle with a leg that has a length of 10 and the angle opposite to that side is 55 degrees is given by the following picture:

In this case, the appropriate trigonometric identity is:

[tex]\sin (55^{\circ})\text{ = }\frac{y}{h}[/tex]

where y is the opposite side, and h is the hypotenuse. Now, replacing the given data in the previous equation we obtain:

[tex]\sin (55^{\circ})\text{ = }\frac{10}{h}[/tex]

and solving for h, we get:

[tex]h\text{ = }\frac{10}{\sin (55^{\circ})}\text{ = 12.207}\approx12.21[/tex]

then, the correct answer is:

[tex]h\text{ =}12.21[/tex]

Calculate the five-number summary and the IQR from the following values given: {17, 20, 21, 25, 25, 29, 40}

Answers

Answer:

• 17, 20, 25, 29 and 40

,

• IQR=9

Explanation:

(a)Given the set of values:

{17, 20, 21, 25, 25, 29, 40}​

• The minimum value = 17

The first quartile

The first quartile is the median of the lower half of the data set.

The lower half of the data set = 17, 20, 21

• Therefore, the first quartile =20

The Median

The median is the number in the middle of the set of values.

The number in the middle is 25, therefore:

• Median = 25

The third quartile

The third quartile is the median of the upper half of the data set.

The upper half of the data set = 25, 29, 40

• Therefore, the third quartile =29

Finally, Maximum Value = 40.

The five-number summary of the set of values is: 17, 20, 25, 29 and 40

(b)Interquartile Range

Interquartile Range = Third Quartile - First Quartile

=29 - 20

IQR=9

im confused on what 43/25 as a percent would be

Answers

1------------------------------------>100%

43/25----------------------------->x%

So, using cross multiplication:

[tex]\begin{gathered} \frac{1}{\frac{43}{25}}=\frac{100}{x} \\ \text{solve for x:} \\ x=100\times(\frac{43}{25}) \\ x=172 \end{gathered}[/tex]

A parabola opening up or
equation in vertex form.
down has vertex (-1, 4) and passes through (-2, 17). Write its equation in vertex form.

Answers

Equation of parabola in vertex form is 13x² + 26x + 17

Define Parabola

A symmetrical open plane curve created when a cone and a plane that runs perpendicular to its side collide. Ideally, a projectile traveling under the pull of gravity will travel along a curve similar to this one.

Given,

vertex (h,k) = (-1, 4)

points (x,y) = (-2, 17)

We know, The equation in vertex form is

y = a(x - h)² + k

put the (h,k) values,

y = a(x - (-1))² + 4

y = a(x + 1)² + 4                     --------- eq(i)

Next, find the value of 'a' by plug in the points of (x, y) in eq(i)

y = a(x + 1)² + 4

⇒17 = a(-2 + 1)² + 4

⇒17 = a(-1)² + 4

⇒17 = a + 4

a = 13

Now, substitute 'a' value in eq(i) to find the equation of parabola

y = a(x + 1)² + 4

⇒ y = 13(x + 1)² + 4

⇒ y = 13(x² + 1 +  2x) + 4

⇒ y = 13x² + 13 + 26x + 4

y = 13x² + 26x + 17

Therefore, equation of parabola in vertex form is 13x² + 26x + 17

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Find the trigonometric ratio using the diagram. Write the fraction in itssimplest form.

Answers

Answer

KM = 30 units

Tan M = (8/15)

Explanation

The Pythagoras Theorem is used for right angled triangle, that is, triangles that have one of their angles equal to 90 degrees.

The side of the triangle that is directly opposite the right angle or 90 degrees is called the hypotenuse. It is normally the longest side of the right angle triangle.

The Pythagoras theorem thus states that the sum of the squares of each of the respective other sides of a right angled triangle is equal to the square of the hypotenuse. In mathematical terms, if the two other sides are a and b respectively,

a² + b² = (hyp)²

For this question,

a = KM = ?

b = KL = 16

hyp = LM = 34

a² + b² = (hyp)²

KM² + 16² = 34²

KM² + 256 = 1,156

KM² = 1,156 - 256

KM² = 900

Take the square root of both sides

√(KM²) = √(900)

KM = 30 units

In a right-angle triangle, the side opposite the right angle is the Hypotenuse, the side opposite the given angle that is non-right angle is the Opposite and the remaining side is the Adjacent.

Using M as the given non-right angle,

Hypotenuse = LM = 34

Opposite = KL = 16

Adjacent = KM = 30

Using trignometric identities, we know that TOA means

Tan M = (Opp/Adj)

Tan M = (16/30)

Divide numerator and denominator by 2

Tan M = (16/30) = (8/15)

Hope this Helps!!!

In a certain​ chemical, the ratio of zinc to copper is 4 to 11. A jar of the chemical contains 528 grams of copper. How many grams of zinc does it contain.

Answers

If the ratio of zinc to copper is 4 to 11. A jar of the chemical contains 528 grams of copper. Then 192 grams of zinc does it contain

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that,

In a certain​ chemical, the ratio of zinc to copper is 4 to 11.

i.e 4:11 or 4 /11

If A jar of the chemical contains 528 grams of copper

We need to find how many grams of zinc does it contain.

Let us consider it as x.

Form a equation,

4/11=x/528

4×528=11x

2112=11x

Divide both sides by 11

192=x

Hence 192 grams of zinc does it contain.

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Brody spent $260 on 4 chairs. To find out how much he spent on each chair, he did the following work in long division. 65 4) 260 -24 20 -20 0 Did he do the problem correctly? Why or why not? O A. No, because there is a remainder of o. B. No, because the first digit in the quotient should be 4, not 6. O C. No, because the problem should be 260 14. O D. Yes, he worked the problem correctly.

Answers

He spend $260 on 4 chairs:

To know how much he spent on each chair he must:

Divide 260 into 4

You first pick the firt digit of the dividend (260) and look if you can divide that digit into the divider (4) as in this case the firt digit 2 cannot be divided into 4 you take the first and secon digit (26) and divide it into 4 (how many times fix 4 in 26), this is equal to 6 times (this is the first digit of the quotient), then you multiply the 6 by 4 (6*4=24)and put the result under the 26 to substract it:

Now you lower the zero (of the 260) next to the result of the previous subtraction:

And divide 20 into 4 (how many times fix 4 in 20) this is equal to 5 times (this is the second digit of the quotient ) then you multiply the 5 by 4 (5/4 =20) and put the result under the 20 to substract it:

The remainder of 0 means the division has not decimal result, the result of 260 into 4 is an interger number (65)

The firt digit of the quotient is 6 because 26 into 4 is 6.

So the division he did is the correct form to find how much cost each chair ($65)

About how many points did the four students score in round 1. Estimate by rounding each point total to the nearest whole number

Answers

The total points that the four students score in round 1 is 75 points.

How to calculate the value?

Based on the information given, it's important to convert the numbers to while numbers and then add.

John has 19.5. This will be 20.

Adam had 21.2. This will be 21.

Peter has 23.8. This will be 24.

Grace has 10.2. This will be 10.

The total points will be:

= 20 + 21 + 24 + 10

= 75

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The points of four students are:

John 19.5

Adam 21.2

Peter 23.8

Grace 10.2

About how many points did the four students score in round 1. Estimate by rounding each point total to the nearest whole number

according to recent study 7 out of every 500 Americans aged 13-17, years are vegetarian.in a group of 350 13 to 17- years old about how many would you expect to he vegetarian

Answers

7 out of every 500 Americans aged 13 -17 years are vegetarians

This implies that in a group of 500 Americans , 7 Americans that are within the age range of 13 - 17 years are vegetarians

7 ======== 500

x ======== 350

Introduce cross multiplication

7 x 350 = x * 500

2450 = 500x

Divide both sides by 500

2450/500 = 500x/ 500

x = 4.9

Approximately, 5

5 vegetarians aged 13 - 17 years will be present is in a group of 350 Americans

The answer is 5

A 39 -ft ladder leans against a building so that the angle between the ground and the ladder is 85∘

How high does the ladder reach the building? __________ ft

Answers

The height of the building is 38.85 ft.

Given;

length of the ladder, x = 39 ft

the angle between the ground and the ladder, θ = 85°

let the height of the building be h.

Construct this triangle, the ladder forms the hypotenuse side of the right angle triangle, the height of the triangle is the opposite side of the triangle while the base of the triangle is the adjacent side of the triangle.

Apply the following trig ratio to determine the height of the triangle;

sin(θ) = opposite/hypotenuse

sin(85°) = h/39

h = 39sin(85°)

h = 38.85 ft

Therefore, the height of the building is 38.85 ft (approx.).

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A runner has a track lap time of 3 minutes while at a run, 5 minutes while at a jog, and 7 minutes while at a walk. If 2/5 of the lap is paced at a run, 1/2 at a jog, and 1/10 at a walk, what is the total track lap time of the runner? Write the solution as a mixed number or a fraction in lowest terms.

Answers

The total track lap time of the runner is 4 11/15 and it has been written as a mixed number or a fraction in lowest terms.

Mixed fraction:

The fraction represented with its quotient and remainder is known as mixed fraction.

Given,

A runner has a track lap time of 3 minutes while at a run, 5 minutes while at a jog, and 7 minutes while at a walk. If 2/5 of the lap is paced at a run, 1/2 at a jog, and 1/10 at a walk.

Here we need to find the total track lap time of the runner.

Here we can compute the Total Lap Time by multiplying each fraction by its associated lap time, then we get,

   Run Lap Time = (2/5)(3) = 6/5 minutes

   Jog Lap Time = (1/3)(5) = 5/3 minutes

   Walk Lap Time = (4/15)(7) = 28/15 minutes

So, the total lap time is, written as,

   Total Lap Time = 6/5 + 5/3 + 28/15

Now, we have to make the fraction equal to each other,

=> (6x3)/(5x3) + (5x5)/(3x5) + (28 x 1)(15 x1)

=> 18/15 + 25/15 + 28/15  

=> (18 + 25 + 28)/15 = 71/15

Now, we have to convert this into mixed fraction then we get,

=> 71/15 = 4 11/15

Therefore, the total Lap Time is 4 11/15 minutes.

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Find the volume of the cone. Round to the nearest tenth.27 m-45°O 10,306,0 m320,612.0 m341,224.0 m3763.4 m3

Answers

The volume of a cone is given by the formula:

[tex]\begin{gathered} V=\frac{1}{3}\times\pi\times r^2\times h \\ r\text{ is the radius} \\ h\text{ is the height} \end{gathered}[/tex]

From the question, we are provided with following:

[tex]\begin{gathered} h=27m \\ \theta=45^0 \end{gathered}[/tex]

We have to use the given parameters to obtain the radius of the cone.

Thus, we have:

[tex]\begin{gathered} \text{Tan 45}^0=\frac{opposite}{\text{adjacent}} \\ 1=\frac{27}{\text{radius}} \\ \text{Therefore, radius=27m} \end{gathered}[/tex]

Therefore, the volume of the cone is:

[tex]\begin{gathered} V=\frac{1}{3}\times\frac{22}{7}\times27^2\times27 \\ V=20,611.98m^3 \end{gathered}[/tex]

Hence, the correct option is option BH

find the value of expression if d = 10 and c= 5, 5d + c + 2

Answers

[tex]\begin{gathered} d=10 \\ c=5 \\ \text{ find } \\ 5d\div c+2 \\ 5(10)\div5+2 \\ \text{ using pemdas princ}iple \\ 50\div5+2 \\ \frac{50}{5}+2=10+2=12 \end{gathered}[/tex]

write three things you used to do but don't do anymore​

Answers

Answer:

Trusting peoples

Be happy

make friends

how do I find the correct answer? (answers in the dropbox below)

Answers

A rhombus have 4 sides and angles

it first must be proven to have 4 sides, or 4 angles

thats a definition for Quadrilateral

then correct option is D

The population of the state of Colorado was about 5,846,000 people in 2020.
Which number best approximates the population as a single digit times a
power of 10?
OA. 6x 10-6
OB. 6 x 106
C. 5 × 105
D. 5 x 106

Answers

The answer is B. 6 x 10^6

Answer:  [tex]6 \times 10^6[/tex] which is choice B

==========================================

Method 1

5,846,000 rounds to 6,000,000 aka "6 million".

This converts to the scientific notation [tex]6 \times 10^6[/tex]

The first 6 is from "6 million", while the 6 as the exponent tells us to move the decimal point that many places to the right to go from 6.0 to 6,000,000

---------------

Method 2

Place a decimal point between the first two digits of 5,846,000 and erase the zeros at the end.

So we get 5.846

We must move the decimal point 6 spaces to the right to go from 5.846 back to 5,846,000 again

Therefore, [tex]5,846,000 = 5.846 \times 10^6[/tex]

Then the 5.846 rounds to 6.0 or simply 6 when rounding to the nearest whole number. This leads to [tex]6 \times 10^6[/tex]

The science class is taking a trip to the science center. there are 20 students and an unknown number of adult chaperones going. the bus holds at most 35 people.what is the greatest number of adults who can chaperone? I know the answer is 15. however, what they want us to do is create an equation using inequalities (<, >, etc..) That's what I don't know how to do with this problem. I'm trying to explain it to my daughter but I don't know how to do it myself.

Answers

We are given that there are 20 students and an unknown number of adult chaperones.

Let x denotes the unknown number of adult chaperones.

The bus holds at most 35 people

We know that 20 students plus x number of adult chaperones should be at most 35

at most 35 means equal or less than 35

So we can write

[tex]20+x\le35[/tex]

Now we can easily solve for x

[tex]\begin{gathered} 20+x\le35 \\ x\le35-20 \\ x\le15 \end{gathered}[/tex]

Karen is planning to drive 870 miles on a road trip. If she wants to complete the trip in 6 days, how many miles will she need to drive each day??

Answers

Answer:

145 miles

Step-by-step explanation:

870 ÷ 6 = 145

answer step by step please suppose AC is congruent with AD. what information would you need to conclude that ADB is congruent with ACE using ASA theorem?

Answers

Answer:

Angle ABD must be congruent to Angle AEC.

Explanation:

Angle: Triangles ADB and ACE share angle A in common.

Side: AD is congruent to AC.

For Triangles ADB and ACE to be congruent by the ASA Congruence Theorem, then the following must hold:

Angle: Angle ABD must be congruent to Angle AEC.

Jacob is constructing a pentagonal tent for his school carnival. The tent has a side length of 5.13 meters. What is the area of the tent? What is the perimeter of the tent? What is the sum of three of the interior angles in the tent once Jacob obtains the value of its area and perimeter?

Answers

The tent is pentagonal , this means it has 5 sides. The tent have a side length of 5.13 meters.

The area of the pentagon can be calculated below

[tex]\begin{gathered} \text{area of the tent=}\frac{perimeter\times apothem}{2} \\ \tan \text{ 36=}\frac{2.565}{a} \\ a=\frac{2.565}{\tan \text{ 36}} \\ a=\frac{2.565}{0.726542528} \\ a=3.53041962601 \\ \text{perimeter}=\text{ 5.13}\times5=25.65\text{ meters} \\ \text{area =}\frac{25.65\times3.53041962601}{2} \\ \text{area}=\frac{90.5445}{2} \\ \text{area}=45.27225 \\ \text{area}\approx45.27meter^2 \end{gathered}[/tex]

Each interior angle of a pentagon is

[tex]\begin{gathered} \text{ interior angle=}\frac{180\times3}{5}=\frac{540}{5}=108^{\circ} \\ \text{ Sum of thr}ee\text{ interior angles = 108}\times3=\text{ }324\text{ degre}e \end{gathered}[/tex]

Suppose 72% of students chose to study French their freshman year, and that meant that there were 378 such students. How many students chose not to take French their freshman year?

Answers

Answer:

There were 378 students who chose to study French their freshman year. This means that 72% of the total number of students chose to study French their freshman year. Therefore, the total number of students must be 378 / 0.72 = 527.5. This means that there were 148.5 students who chose not to take French their freshman year.

Step-by-step explanation:

what is the final cost of the purchase at discount heaven?

Answers

First, let's sum the single costs of each item.

[tex]32+32+20=84[/tex]

Because they are buying 1 jacket, 2 pairs of jeans, and 1 vest. So, the subtotal of these items is $84. (At Discount Heaven)

Then, we apply a 7% sales tax.

[tex]84+0.07\cdot84=84+5.88=89.88[/tex]

As you can observe, the sales tax is $5.88 for all the items purchased, and the total cost they have to pay is $89.88.

Using the image, identify the opposite rays (choose all that apply).

Answers

Solution

The answer is

the water pressure on Mustafa as he dives is increasing at a rate of 0.992 atmospheres (atm) per meter
What is the rate of increase in water pressure in atm/km

Answers

The rate of increase in water pressure in atm/km = 992 atm/km

what is pressure?

Pressure can be defined as the external or internal force that acts on an area of an object which can be measured in atmosphere per meter.

The rate at which Mustafa dives = 0.992atm/meter.

That is,

0.992 atm = 1 meter

X atm = 1 km

But 1000m = 1 km

make X atm the subject of formula;

x atm = 0.992 × 1000

X atm = 992 atm/km

Therefore, the rate in atm/ km would be = 992 atm/km

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Miscavage Corporation has two divisions: the Beta Division and the Alpha Division.

The Beta Division has:

sales of $320,000,
variable expenses of $158,100,
and traceable fixed expenses of $72,300.
The Alpha Division has:

sales of $630,000,
variable expenses of $343,800,
and traceable fixed expenses of $135,100.
The total amount of common fixed expenses not traceable to the individual divisions is $137,200.

What is the total company's net operating income?

Answers

The total company's net operating income (NOI) is $103,500.

What is a Net operating income?

In accounting, a Net operating income refers to the figure that equals to all revenue from the property minus all reasonably necessary operating expenses.

The computation of the Net operating income is as follows:

= Gross Income - Operating Expenses

= (Sales+Sales) - [(variable expenses + variable expenses) + (fixed expenses + fixed expenses) + 137,200]

= (320,000+630,000) - [(158,100 + 343,800) + (72,300 + 135,100) + 137,200]

= 950,000 - (5,01,900 + 2,07,400 + 137,200)

= 950,000 - 8,46,500

= $1,03,500

In conclusion, the total company's net operating income (NOI) is $103,500.

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35% of the employees in a company receive an incentive in the month of April. What is theprobability that among 4 employees chosen at random, all 4 do not receive the incentive inApril?

Answers

ANSWER :

0.1785

EXPLANATION :

35% will receive an incentive and (100% - 35% = 65%) will NOT receive an incentive.

So an employee has 65% chance of NOT receiving an incentive.

The probability that among 4 employees do not receive the incentive is :

[tex](0.65)^4=0.1785[/tex]

given that the measure of arc AD=(17×+2), measure of arc AC=(7×-10),and measure of angle ABC=(4×+15) find the measure of angle ABC

Answers

In the given figure, angle ABC is formed by a tangent and a secant.

The angle formed by tangent and secant is given by

[tex]m\angle ABC=\frac{1}{2}(m\bar{AD}-m\bar{AC})[/tex]

Where mAD and mAC are the intercepted arcs.

For the given case,

[tex]\begin{gathered} m\angle ABC=(4x+15)\degree \\ m\bar{AD}=(17x+2)\degree \\ m\bar{AC}=(7x-10)\degree \end{gathered}[/tex]

Let us substitute the given values into the above formula and solve for x

[tex]\begin{gathered} m\angle ABC=\frac{1}{2}(m\bar{AD}-m\bar{AC}) \\ (4x+15)\degree=\frac{1}{2}\lbrack(17x+2)\degree-(7x-10)\degree\rbrack \\ 2\cdot(4x+15)\degree=(17x+2)\degree-(7x-10)\degree \\ 8x+30=17x+2-7x+10 \\ 8x-17x+7x=2+10-30 \\ -2x=-18 \\ x=\frac{-18}{-2} \\ x=9 \end{gathered}[/tex]

The value of x is 9

So, the measure of angle ABC is

[tex]\begin{gathered} m\angle ABC=4x+15 \\ m\angle ABC=4(9)+15 \\ m\angle ABC=36+15 \\ m\angle ABC=51\degree \end{gathered}[/tex]

Therefore, the measure of angle ABC is 51°

Find the exact values of the six trigonometric functions of the real number t

Answers

In a unit circle, given the (x,y) coordinate, x corresponds to cosine, and y corresponds to sine.

Then use the trigonometric identity to solve for tangent.

We therefore have the following ratios for sin, cos, and tan.

[tex]\begin{gathered} \sin t=\frac{15}{17} \\ \cos t=-\frac{8}{17} \\ \tan t=\frac{\sin t}{\cos t}=\frac{\frac{15}{17}}{-\frac{8}{17}}=-\frac{15}{8} \\ \\ \text{Therefore,} \\ \sin t=\frac{15}{17} \\ \cos t=-\frac{8}{17} \\ \tan t=-\frac{15}{8} \end{gathered}[/tex]

Solving for the reciprocal of sin, cos, and tan we have

[tex]\begin{gathered} \csc t=\Big(\sin t\Big)^{-1}=\Big(\frac{15}{17}\Big)^{-1}=\frac{17}{15} \\ \sec t=\Big(\cos t\Big)^{-1}=\Big(-\frac{8}{17}\Big)^{-1}=-\frac{17}{8} \\ \cot t=\Big(\tan t\Big)^{-1}=\Big(-\frac{15}{8}\Big)^{-1}=-\frac{8}{15} \\ \\ \text{Therefore,} \\ \csc t=\frac{17}{15} \\ \sec t=-\frac{17}{8} \\ \cot t=-\frac{8}{15} \end{gathered}[/tex]

What is the midpoint of the line segment graphed below?10(5,9)(2-1)-1010- 10O A. (7,8)OB.OC (34)OD (710

Answers

ANSWER:

[tex](\frac{7}{2},4)[/tex]

STEP-BY-STEP EXPLANATION:

To calculate the value of the midpoint, we use the formula of the midpoint which is the following:

[tex](x_m,y_m)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Replacing and solving the midpoint:

[tex]\begin{gathered} (x_m,y_m)=(\frac{5+2_{}}{2},\frac{9-1_{}}{2}) \\ (x_m,y_m)=(\frac{7_{}}{2},\frac{8_{}}{2})=(\frac{7}{2},4) \end{gathered}[/tex]

Other Questions
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