What is the area of triangle rst? 6 square units 9 square units 12 square units 18 square units

Answers

Answer 1

The area of the considered triangle RST is given by: Option A: 9 sq. units.

How to find the area of a triangle?

If we have:

Length of its base = b unitsIts height = h units long,

Then we get:

Area of a triangle = [tex]\dfrac{b \times h}{2} \: \rm unit^2[/tex]

The missing image is attached below.

If we take the base of the triangle as RS, then as the line UT is perpendicular to RS (as RS is parallel to x axis and UT is parallel to y axis) and touching from the base line RS to T, thus, it can be taken as height.

Thus, we have:

Area of RST = half of length of RS (base) times length of UT (height)

As visible from image, we have:

Length of RS = 6 blocks of unit length = 6 units

Similarly, length of UT = 3 units

Thus, we get:

Area of RST = [tex]\dfrac{6 \times 3}{2} = 9 \: \rm unit^2[/tex]

Thus, the area of the considered triangle RST is given by: Option A: 9 sq. units.

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What Is The Area Of Triangle Rst? 6 Square Units 9 Square Units 12 Square Units 18 Square Units

Related Questions

The table shows the number of apples needed to make apple pies and applesauce sold at a farm
store. During a recent picking at the farm, 169 Granny Smith apples and 95 Red Delicious apples
were picked. Write and solve a system to determine how many apple pies and how many batches
of applesauce can be made if every apple is used. (Hint: read across each row to create your equations!)
# Needed # Needed Total
Type of Apple for 1 (Pie) for Sauce
Granny Smith 5
4
169
Red Delicious
3
2
95

Answers

Answer:

pie - 38

sauce - 37.5

Step-by-step explanation:

For the Red Delicious apples you keep subtracting 5 from the total (95) and adding 1 to both of the total numbers of pies and apple-sauce. For the Granny Smith apples you keep subtracting 9 from the total and adding 1 to both of the total numbers of pies and apple-sauce until you get to 7 then you subtract 5 and 1 to the total of pies then you only have 2 left and that is half of the appl-sauce.

The value of x from the equation is 21 pies and the value of y from the equation is 16 batches of apple sauces

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. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total number of apple pies be x

Let the number of batches of apple sauce be y

Now , the system of equations are

5x + 4y = 169   be equation (1)

3x + 2y = 95   be equation (2)

Multiply equation (2) by 2 , we get

6x + 4y = 190   be equation (3)

Subtracting equation (1) from equation (3) , we get

x = 190 - 169

x = 21

Substitute the value of x in equation (2) , we get

3x + 2y = 95

3 ( 21 ) + 2y = 95

63 + 2y = 95

Subtracting 63 on both sides of the equation , we get

2y = 32

Divide by 2 on both sides of the equation , we get

y = 16

Therefore , the value of x and y are 21 and 16 respectively

Hence , the number of apple pies and apple sauces are 21 and 16 respectively

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original price? The discount is 40% in the sale price is $18

Answers

Answer:

$10.8

Step-by-step explanation:

Multiply 18 to .4 to get 7.2. Then subtract the 40% discount from the sale price. 18-7.2 = $10.8

Kim and Steven went to dinner. Kim had a coupon for 25% discount off the price of all meals, not including tax and tip. If the original price of the meals was 75.00, what is the discount price, not including tax and tip.

Answers

Answer:

$56.25

Step-by-step explanation:

75%*75.00 = 56.25

HELP Two workers, if they were working together, could finish a certain job in 24 days. If one of the workers does the first half of the job and then the other one does the second half, the job will take them 50 days. How long would it take each worker to do the entire job by himself?

Answers

this has been already answered.

https://brainly.com/question/15414578

Which expression is equivalent to 173. 1710 ?
A 173+10
th

6 173-10
© 173.10
O
1710

Answers

Answer:

option C

Step-by-step explanation:

hope this help u

What is the slope of the line that passes through the points (9, 2) and (9,27)? write your answer in simplest form.

Answers

Solution :-

[tex]\textsf{The slope of a line passing through two}[/tex]

[tex]\sf{given \: points \:(x_1,y_1) \:and \:(x_2,y_2) \: is \:given \: by - }[/tex]

[tex]\green{ \underline { \boxed{ \sf{ Slope, =\frac{y_2-y_1}{x_2-x_1}}}}} [/tex]

Here,

[tex]\sf{x_1= 9}[/tex][tex]\sf{y_1=2}[/tex][tex]\sf{x_2=9}[/tex][tex]\sf{y_2= 27}[/tex]

Putting Values:-

[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf Slope =\frac{27-2}{9-9} \\\end{gathered} \end{gathered} [/tex]

[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf \frac{25}{0}\quad(not\: defined) \\\end{gathered} \end{gathered}[/tex]

>>The slope of the line that passes through the given points is not defined.

Note- We can conclude that if x-coordinate of the points through which line passes are same , then slope is always not defined .

What is the longest line segment that can be drawn in a right rectangular prism that is 14 cm​ long, 11 cm​ wide, and 9 cm​ tall?

Answers

Answer:

the longest segment is between 14 and 9

Step-by-step explanation:

this is the best answer in my eyes

The length of the diagonal of the rectangular prism will be 19.95 centimeters.

What is the diagonal of the rectangular prism?

A rectangle's longitudinal divides it into two equivalent right triangles. A rectangle's diagonal elements are all the same length. A rectangle is a rectangle whose diagonal elements bisect one another, cross at right angles, and are identical.

The length of the diagonal of the rectangular prism is given as,

D² = L² + W² + H²

The dimensions of the rectangular prism will be 14 cm long, 11 cm wide, and 9 cm tall.

The diagonal length is calculated as,

D² = 14² + 11² + 9²

D² = 196 + 121 + 81

D² = 398

D = 19.95 cm

The length of the diagonal of the rectangular prism will be 19.95 centimeters.

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whats 2 plus 2 i am in first grade

Answers

Answer:

4

Step-by-step explanation:

2+2=4

I hope this helps you!!

What is the value of x? (Please hurry)​

Answers

Answer:

8 root 2 or 11.3

Step-by-step explanation:

square 16 and divide by two to find square of other sides. Then root it to find answer

Answer:   8 root 2 or 11.3

Step-by-step explanation:

square 16 and divide by two to find square of other sides. Then root it to find answer

An employee receives a 2% raise once per year. If the employee's initial salary is $69,400.00, what will the employee's salary be after 17 years?
Please put in answers with no commas and round to 2 decimal places.

Answers

Step-by-step explanation:

first fine 2% of the initial salary since he is paid that every year

2/100×69400=2×694=1388

so for 17 years = 1388×17

=23596

PLS HELPpppppppppppp ;0

Answers

Answer:

reflection

Step-by-step explanation:

by examination

Answer:

A reflection off the x axis

Step-by-step explanation:

Hope this helps!!!

The temperature in some region of Alaska equals 13 F. Convert this temperature to Celsius

Answers

Answer:

10.5* Celsius

Step-by-step explanation:

Its easy to do, this is the right answer

I need help on this question

Answers

Answer:

ans: 4/729

Step-by-step explanation:

here,

-2 ^2 = 4

and

(3^3)^2 = 3^6 = 729

= 4/729

What is the perimeter of a square with a side length of 7 cm?


A. 7 cm
B. 14 cm
C. 21 cm
D. 28 cm

Answers

Answer:

D. 28 cm

Step-by-step explanation:

P=4s

P=4(7)

P=28

Answer:

D. 28cm

Step-by-step explanation:

P = 4s

P = 4(7cm)

P = 28cm

=> D. 28cm

the ratio of 20 paise to Rupees 1 is option 1:5, 2:1 , 20:1, 2:3​

Answers

Answer:

1:5

Step-by-step explanation:

divide by 20 on both sides, 5 : 1.

3.
Which expression is equivalent to -0.4(10.2x - 15 +2.2x)
a. -4.96x + 6
b. -4.96x - 6
C.-4.96x - 6.4
d. -4.96x + 6.4

Answers

Answer: -4.96x + 6

Step-by-step explanation:

In this problem, it wants you to multiply the -0.4 by the numbers in the parentheses. Don’t let the X confuse you. This is just a placeholder for an unknown number. So first you would multiply the -0.4 into the 10.2, And once you get your answer, just add the X to the end. Which is -4.08x. Then, you would do the same thing, multiply the -0.4 (the number outside of the parenthesis, only with the -15 now. Which gets you 6. Lastly, you take the -0.4 once more and multiply it by the 2.2x. Which gets you -0.88.


-0.4 (10.2x-15+2.2x)

= - 4.08x +6 -0.88x

Now that you have this problem, combined like terms. What are the like terms in this problem?

The -4.08x can be combined with the -0.88 which gets you -4.96. Bring the +6 down, and that gets you your answer of -4.96 +6.


-4.08x -0.88x +6

= -4.96x +6


This would be your final answer because nothing further can be done at this point.


hope this helps!

convert 4 hours into minutes
helpp ASAP

Answers

Answer: 240 minutes

Step-by-step

60 times 4 hour = 240 minutes

Write x2 y2 – 18x 8y 5 = 0 in standard form. group terms and move the constant to the other side of the equation. x2 – 18x y2 8y = –5 determine the values that need to be added to both sides of the equation. (–18 ÷ 2)2 = 81 and (8 ÷ 2)2 = 16 add the values to both sides of the equation. write each trinomial as a binomial squared, and simplify the right side. what is the standard form of the equation of a circle given by x2 y2 – 18x 8y 5 = 0? ( )² ( )² =

Answers

The equation of the circle x² + y² – 18x + 8y + 5 = 0 can be written as in the standard form is (x – 9)² + (y + 4)² = 92

What is a circle?

It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The equation of the circle is given below.

x² + y² – 18x + 8y + 5 = 0

Add and subtract 97, then we have

x² – 18x + y² + 8y + 97 – 97 + 5 = 0

x² – 18x + 81 + y² + 8y + 16 – 92 = 0

                        (x – 9)² + (y + 4)² = 92

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Solve:
[tex] \frac{6x + 1}{3} + 1 = \frac{x - 3}{6} [/tex]
→ Don't plagiarism
→ Perfect answer needed. ​

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{6x + 1}{3} + 1 = \dfrac{x - 3}{6} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{6x + 1}{3} - \dfrac{x - 3}{6} =- 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{12x + 2 - x + 3}{6} =- 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{11x + 5}{6} =- 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: {11x + 5}{} =- 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: 11x = -6 - 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = -1 [/tex]

Step-by-step explanation:

[tex] \frac{6x + 1}{3} + 1 = \frac{x - 3}{6} \\ \frac{6x + 1 + 3}{3} = \frac{x - 3}{6} \\ 6( 6x + 4) = 3(x - 3) \\ 36x + 24 = 3x - 9 \\ 36x - 3x = - 9 - 24 \\ 33x = - 33 \\ x = - 1[/tex]

6. The vertex of a parabola is (15,-30) and the y-intercept is (0,25). Is this enough information to write
the equation? If so, do such, if not explain.

Answers

Answer:

[tex]y=\frac{11}{45} x^2-\frac{22}{3}x+25.[/tex]

Step-by-step explanation:

Enough.

The explanation is in the attached picture.

Note, the suggested way is not the only one, and finally a=11/45.

Derek and his friends drove from San Francisco to Lake Tahoe to go skiing. The average speed that they traveled during each leg of the trip is shown on the map. They drove 30 min in the city, 3 h on the highway, and 30 min up the mountain.
Write a piecewise function to represent the distance that Derek traveled during his four hour trip.

Answers

The piecewise function of the travel of the car is now described in detail:

[tex]x (t) = 30\cdot t,\,0 \le t < 0.5[/tex]  

[tex]x(t) = 15 + 60\cdot (t-0.5)[/tex],  [tex]0.5\le t < 3.5[/tex]  

[tex]x(t) = 195 + 45\cdot (t-3.5)[/tex],  [tex]3.5\le t \le 4[/tex]  

How to build a piecewise function

A piecewise function is a group of functions working on certain intervals, which corresponds to three expressions in this case. Likewise, the car moves at constant speed and the resulting distance is equal to the sum of initial position ([tex]x_{o}[/tex]), in miles, and the product of speed (v), in miles per hour, and time (t), in hours.

Then, the piecewise function of the travel of the car is now described in detail:

[tex]x (t) = 30\cdot t,\,0 \le t < 0.5[/tex]   (1)

[tex]x(t) = 15 + 60\cdot (t-0.5)[/tex],  [tex]0.5\le t < 3.5[/tex]   (2)

[tex]x(t) = 195 + 45\cdot (t-3.5)[/tex],  [tex]3.5\le t \le 4[/tex]    (3)

Remark

The map with key information of velocities is missing. We proceed to show the required information:

City - 30 miles per hour

Highway - 60 miles per hour

Mountain - 45 miles per hour

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What is the volume of this prism?
3 cm
3 cm
20 cm
13 cm
13 cm
6 cm

Answers

Answer:

720

Step-by-step explanation:

break the area into two shapes the triangle and the rectangle

then you good

-2x + 22 < 18

It is an inequality

Answers

Answer:

Solving for x;

-2x + 22 < 18

Get rid of constants:

-22          -22

-2x < -4

Isolate x, by dividing by -2 from both sides since the inverse operation of multiplication is division, and remember when dividing or multiplying by negative integers, you flip the inequality symbol around:

÷-2 ÷-2

x > 2

Answer:

[tex]x > 2[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x > 2\:\\ \:\mathrm{Interval\:Notation:}&\:\left(2,\:\infty \:\right)\end{bmatrix}[/tex]

Given:

-2x + 22 < 18

Solve:

[tex]\mathrm{Subtract\:}22\mathrm{\:from\:both\:sides}[/tex]

[tex]-2x+22-22 < 18-22[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-2x < -4[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]

[tex]\left(-2x\right)\left(-1\right) > \left(-4\right)\left(-1\right)[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]2x > 4[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]

[tex]\frac{2x}{2} > \frac{4}{2}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x > 2[/tex]

~Lenvy~

How many different three digit numbers can be made with 123456789

Answers

Answer:

84

Step-by-step explanation:

Since, the digit should be in ascending order, therefore we have to group 123456789 into 3–3 groups with its digits being in ascending order.

Step 1:

Select 1 as one digit

Step 2:

Select 2 as a 2nd digit.

Step 3:

We have 7 numbers (3,4,5,6,7,8,9) as a 3rd digit of a 3-digit number. Therefore, We have 7 numbers in the form of 12_.

Go back to Step 2 and Select 3 as a 2nd digit. Then, we have 6 numbers (4,5,6,7,8,9) as a 3rd digit of the form 13_.

Continue these steps till you get the number of 3-digit numbers in the form of 1__ to 189 which will be 28 numbers.

Go back to Step 1 now and select 2 as a 1st digit and in Step 2, start with 3 as a 2nd digit.

In step 3, you’ll have 6 numbers (4,5,6,7,8,9) as a 3rd digit of the form 23_.

Continue these steps till you find the number of the 3 digit number of the form 2__ to 289 which will be 21

Repeat the steps again to find the number of 3digit number of the form 3__ to 389 which will be 15.

Then find 4__ to 489, 5__ to 589, ……till 789

the answers will be like this

1__=28

2__=21

3__=15

4__=10

5__=6

6__=3

789 which is 1

Adding all these, you’ll get 84.

The total number of different three digit numbers that can be made using any of the digits 1,2,3,4,5,6,7,8,9 is 729 digits.

What is the rule of product in combinatorics?

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex] distinct ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

We can use the rule of product as:

we can use the analogy of filling each of the 3 places of the three digit number, and this filling doesn't require any ordering like fill the first place and then second etc. We can take those 3 place fillings as 3 different works to be done,e each one doable in 9 different ways.

For this case, the three digit number consider is going to have 3 places in it such that each place can have any of those 9 digits in them.

So each place can be filled in 9 ways.

There are 3 such places, so, using the rule of product, the filling of those places can be done in:

[tex]9 \times 9 \times 9 = 9^3 = 729 \: \rm ways[/tex]

Thus, the total number of different three digit numbers that can be made using any of the digits 1,2,3,4,5,6,7,8,9 is 729 digits.

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Which steps would be used to solve this equation? StartFraction t Over 3 EndFraction = 2. 78 Check all that apply. Multiply by 3 on both sides of the equation. Divide by 3 on both sides of the equation. 2. 78 ÷ 3 = 0. 93, so t = 0. 93. 2. 78 × 3 = 8. 34, so t = 8. 34. Substitute 8. 34 for t to check the solution. Substitute 0. 93 for t to check the solution.

Answers

The value of variable t =8.34.

We have  solve the equation  [tex]\frac{t}{3} = 2.78[/tex]

What is the meaning of equation?

A statement that the values of two mathematical expressions are equal.

We will use the steps below to solve this equation

First, multiply by 3 on both-side of the equation.

[tex]\frac{t}{3} \times 3= 2.78 \times 3[/tex]

[tex]t=8.34[/tex]

[tex]t = 8.34[/tex]

We can further substitute 8.34 for t to check the correctness of the solution that is,

[tex]\frac{8.34}{3}= 2.78[/tex]

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After eating at a restaurant, Mr. Jackson’s bill before tax is $42.50 The sales tax rate is 8%. Mr. Jackson decides to leave a 20% tip for the waiter based on the pre-tax amount. Part A. How much is the tax?

Answers

Answer:

$3.40

Step-by-step explanation:

Look at image above...

johnny is making 30 sundaes with mint, chocolate, and vanilla ice cream. 3 5 of the sundaes are mint ice cream and 1 2 of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla?

Answers

18 mint, 9 chocolate and 9 vanilla

Can someone do this for me

Answers

Answer:

A - 10 feet

D - 5 seconds

Step-by-step explanation:

Insert 12 for r the radius and 1500 for V the volume.

12 = [tex]\sqrt{}\frac{3(1500)}{\pi h}[/tex]

Square both sides

144 = [tex]\frac{4500}{\pi h}[/tex]

Solve 144 = [tex]\frac{4500}{\pi h}[/tex]: h = [tex]\frac{125}{4\pi }[/tex]

h = [tex]\frac{125}{4\pi }[/tex] or 9.9 rounded to the nearest foot,

h = 10

t = [tex]\sqrt\frac{2(200)}{16}[/tex]

t = [tex]\sqrt\frac{400}{16} = 25[/tex]

t = [tex]\sqrt{5^{2} }[/tex]

t = 5

What is the approximate
volume of this cylinder? (radius is 3 cm and the height is 12 cm)

a. 36 cm3
b. 339 cm3
c. 226 cm3 1
d. 324 cm3


Answers

Answer:

a.36 cm³

Step-by-step explanation:

Explanation:- because 3 ×12 =36 so ans is 36cm³..

hope helps u

The path from the whales to the sharks is parallel to the path from the penguins to the stingrays. What is the distance between the penguins and the stingrays? StartFraction 81 Over 7 EndFraction feet 28 feet 45 feet 63 feet.

Answers

The distance between the penguins and the stingrays which is parallel to the path from the whales to the sharks is 28 ft.

What is proportional segment between parallel lines?

In two triangle in which the one side of the first triangle is parallel to the one side of the other triangle, two similar triangle formed.

Due to this similar triangle the segment formed by the parallel line are proportional segment.

The path from the whales to the sharks is parallel to the path from the penguins to the stingrays.

The map of the zoo is attached below.

The distance from whale to shark is 18 ft, and this side is parallel to the path from the penguins to the stingrays. Suppose the distance between the penguins and the stingrays is x meters.

Thus, in the given triangle, the ratio of these two sides will be equal to the ratio of their corresponding sides. Hence,

[tex]\dfrac{x}{18}=\dfrac{42}{27}\\x=\dfrac{42}{27}\times18\\x=28\rm\; ft[/tex]

Thus, the distance between the penguins and the stingrays which is parallel to the path from the whales to the sharks is 28 ft.

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Answer:

28

Step-by-step explanation:

Did on edge 2022

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Overpopulation, pollution and energy consumption have created such planet-wide problems as massive deforestation, ozone depletion, acid rains and the global warming that is believed to be caused by the greenhouse effect. The seas are in danger. They are filled with poison: industrial and nuclear waste, chemical fertilizers and pesticides. The Mediterranean is already nearly dead; the North Sea is following. The Aral Sea is on the brink of extinction'. If nothing is done about it, one day nothing will be able to live in the seas. Air poluttion is a very serious problem. In Cairo just breathing the air is life threatening - equivalent to smoking two packs of cigarettes a day. The same holds true for Mexico City. Industrial enterprises emit tons of harmful substances. These emissions have disastrous consequences for our planet. They are the main reason for the greenhouse effect and acid rains. An even greater environmental threat is nuclear power stations. People are beginning to realise that environmental problems are not somebody else's. They join and support various international organizations and green parties. The increasing price of land in the United States has resulted in an increase in the __________. A. number of small farms B. size of small farms C. number of large farms D. size of large farms Please select the best answer from the choices provided. A BC D PLEASE ACTUALLY HELP AND NOT JUST ANSWER CUZ YOU WANT POINTS! Can you please write the inequalities in algebraic form. EX: the sum of 92 and Z is less than 100 90+Z < 100 1. 24 less than Z is less than 122. the difference when you subtract 12.65 from A is less than or equal to 26,0003. 999 less than Z is less than 5004. the product of -10 and X is 25 or more5. f minus -1 is less than 06. Y over 14 is 0.5 or more 4. is the disappearance of the individual a bad thing? What is the value of x? If necessary express your answer in simplest radical form.A. 18B. 20C.42D. 43 How does Cather's decision to end the story of Clark and Aunt Georgiana at the conclusion of the concert contribute to the story's impact?. Does anyone know how to get past this part in Lego Harry Potter its the one right after Dobby in year 2? Im so stuck!!! An equilateral triangle with side lengths of 8. 7 centimeters is shown. An apothem has a length of a and the radius has a length of 5 centimeters. The apothem and radius form a triangle with a base length of b. Which statements about finding the area of the equilateral triangle are true? Select three options. The apothem can be found using the Pythagorean theorem. The apothem can be found using the tangent ratio. The perimeter of the equilateral triangle is 15 cm. The length of the apothem is approximately 2. 5 cm. The area of the equilateral triangle is approximately 65 cm2. What is the most likely reason why one of the otherparticipants would ask a follow-up question?O to make connections with prior knowledgeO to paraphrase details to show understandingO to highlight the speaker's main pointsO to clarify something confusing or unclear