Mathematics High School

12. In the given figure, RS is parallel to PQ, If RS = 3 cm, PQ = 6 cm and ar(∆TRS) = 15cm³, then ar (∆TPQ) = ? (a) 70 cm² (b) 58 cm² (c) 60 cm² (d) 64 cm²​

12. In The Given Figure, RS Is Parallel To PQ, If RS = 3 Cm, PQ = 6 Cm And Ar(TRS) = 15cm, Then Ar (TPQ)

Answers

Answer 1

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that,

In triangle TPQ,

RS || PQ,

RS = 3 cm,

PQ = 6 cm,

ar(∆ TRS) = 15 sq. cm

As it is given that, RS || PQ

So, it means

⇛∠TRS = ∠TPQ [ Corresponding angles ]

⇛ ∠TSR = ∠TPQ [ Corresponding angles ]

[tex]\rm\implies \: \triangle TPQ \: \sim \: \triangle TRS \: \: \: \: \: \: \{AA \}[/tex]

Now, We know

Area Ratio Theorem,

This theorem states that :- The ratio of the area of two similar triangles is equal to the ratio of the squares of corresponding sides.

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{ar( \triangle \: TRS)} = \dfrac{ {PQ}^{2} }{ {RS}^{2} } [/tex]

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{ {6}^{2} }{ {3}^{2} } [/tex]

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{36 }{9} [/tex]

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = 4 [/tex]

[tex]\rm\implies \:ar( \triangle \: TPQ) = 60 \: {cm}^{2} [/tex]

12. In The Given Figure, RS Is Parallel To PQ, If RS = 3 Cm, PQ = 6 Cm And Ar(TRS) = 15cm, Then Ar (TPQ)

Related Questions

Which sentence best describe multiples of 5

Answers

Multiples of five are the numbers five, 10, 15 and so on, that you get by skipping to every fifth number. to write them, you start with five, then you keep adding five to your last number to get to the next number
First answer is quite reliable tbh

find the product of ​

Answers

what’s the questionnnn
1/2 × 2/3 × 3/4 × 4/5
=1/5
Please mark brainliest

How is email a useful component of online banking?I. Email alerts can be used to warn you before you overdraw your account.II. You can have your bank statements emailed to you, getting them to you faster.III. Only emailed bank statements can be used to support electronically-filed tax returns.a.I onlyb.II onlyc.I and II onlyd.I, II, and III

Answers

Answer:

c

Step-by-step explanation:

Is the following inequality true : 4 <_ 4 ?

Answers

Answer:

Yes

Step-by-step explanation:

This is true because it is asking you if this is less than or EQUAL TO. 4 = 4, making it true.

A boat traveled at a constant speed for six hours, covering a total distance of 58.5 km. To the nearest 10th of a kilometer per hour, how fast was it going?

Answers

Speed=distance/time taken
Speed=585/10/6
Speed=9.75km/h

Hi guys.Hope you are all well…I need your help on this question and I will give you 34 points for it.It doesn’t matter who gets the answer first .It matters on that if you try your best.I will still give you points if you try and think what’s the answer for this question.Thanks…

Answers

Answer:

the size of the angel is 51

Step-by-step explanation:

The size of the angle is 52 p

Which fraction is equivalent to 0.52121212121....?

Answers

Answer:

516/990=0.52121212121212

Step-by-step explanation:

so b is the answer

what is 67 divided by5

Answers

Answer:

13.4 or 13 if rounded to the nearest 10th

Answer: 13.4

Solution

65
(3y +2)
I NEEDDDD HELPPPPPPPPPPPPP

Answers

Answer:

195y+130

Step-by-step explanation:

Answer:

= 195y + 130

Step-by-step explanation:

Apply the distributive law  a(b + c) =ab + ac

[tex]65\left(3y+2\right)=65\cdot \:3y+65\cdot \:2\\=65\cdot \:3y+65\cdot \:2[/tex]

Simplify:

[tex]65*3y+65*2\\195y+130[/tex]

how to write 175% as a decimal​

Answers

you move the decimal 2 spaces to the left 175-> 17.5-> 1.75

So the answer is 1.75 hope this helps <3

Round it to the nearest ten thousand.


835,834


Round it to the nearest hundred.

96,625

Answers

Answer:

the 1st - 840,000 2nd-96,600

Which property is used in the following: (2.3).5=2.(3.5) ?

Answers

Answer:

Associative property

Step-by-step explanation:

you can group factors in any order and the answer will be the same

simplify the expression -8(-w - 2) =

Answers

Answer:

-16(-8w) i think

Step-by-step explanation:

Step-by-step explanation:

-8(-w - 2) = 8w+16.

hope this helps you.

easy one - giving brainly!​

Answers

Answer:

6:9,2:3

Step-by-step explanation:

sorry I Only knew this much

Answer:

well to make life easier

You can always just simplify the given ratio

12:18 is basically 2:3 and we can use that as a base line

so we got

2:3

6:9

12:18

24:36

48: 72

It goes on you can just multiply by 2

Read the questions and choose the best answer.

Answers

Where’s the questions ?

hihihihihiihhiihihihihiihihih

Answers

Answer:

hi

Step-by-step explanation:

Find the value of x that makes p||q

Answers

Answer:

20

Step-by-step explanation:

90-50=40... therefor X must equal 20

Sally brought the pizza shown above for lunch which was cut into 10 equal slides what percentage of the pizza did tell they eat if she had four slices

Answers

Answer:

25%

Step-by-step explanation:

Answer:

Sally ate 40% of the pizza and there was 60% of the pizza leftover.

Step-by-step explanation:

A percentage is a rate, number, or amount in each hundred.

There were 10 slices of pizza, she ate 4.

4/10 = 40/100 multiplied by 10, which would let us find the percentage.

Therefore, Sally ate 40% of the pizza and left 60% back.

Hope This Helps!

if a/b= (3/7)2 ÷ (9/7)0, then find the value of (b/a)2?
pls answer fast​

Answers

[tex]\\ \sf\longmapsto (3/7)2\div (9/7)0[/tex]

Anything multiplied with 0 gives 0

[tex]\\ \sf\longmapsto (3/7)2\div 0[/tex]

[tex]\\ \sf\longmapsto \infty[/tex]

Now

[tex]\\ \sf\longmapsto \dfrac{b}{a}=\dfrac{1}{\infty}=0[/tex]

[tex]\\ \sf\longmapsto (\dfrac{b}{a})^2=0^2=0[/tex]

Write the following as an algebraic expression.
Subtract 3x + 5 from 6x-8.
The answer is
(Simplify your answer.)

Answers

Answer:

-0.002

3x+5=6x-8

Answer:

x=1.4

Step-by-step explanation:

6x-8    -3x+5

+3x   +3x    

So now we have: 9x-8  5 so add 8 on both sides, leaving you with 9x on one and 13 on the other. Now divide 13 by 9, which is 1.4_ so x=1.4

Now do 3 times 1.4 plus 5 and 6 times 1.4 minus 8 and the results you get for each you will need to subtract: (result of 6x-8) - (result of 3x + 5)

GOOD LUCK!!!!!!!!

The length of a rectangle is 3 times as long as the width. If the perimeter of the rectangle is 1000 meters what are the side lengths?

Answers

Answer:

Width = 125 m

Length = 375 m.

Step-by-step explanation:

If the width = w then length l = 3w.

Perimeter = 2(w + l)

= 2(w + 3w)

2(w + 3w) = 1000

2 * 4w = 1000

w = 1000/8 = 125m

l = 3*125 = 375.

Step-by-step explanation:

width = x

length= 3x

perimeter of triangle =2( l + b)

1000 = 2( 3x + x )

1000÷ 2 = 4x

500=4x

x= 500÷ 4 = 125

width = 125

length = 125×3= 375

recheck by filling value

width= x = 125

length = 3x =375

perimeter = 2( l+ b)

= 2(375 + 125)

= 2× 500 = 1000

hence proved

hope it helps : )

how to calculate 9120 divided by 12 in long division

Answers

Answer:

use bus stop method to calculate.

By the way answer is 760

it starts at 10 and stops at 4​

Answers

6 hours
••••••••••••••••••

The movie theater sold 825 tickets to fill 3 theaters how many seats are in each theater

Answers

Answer:

275?

Step-by-step explanation:

I just divided it.. 825÷3

Answer:

The correct answer is 275 seats

Step-by-step explanation:

Since its 3 FULL theaters then we are gonna divide the number of tickets by the number of theaters which is 825÷3.

Do the math (or use a calculator) and your left with 275.

Hope this helps!

What is 2 6/8 in fraction

Answers

1/3ni who’s your not a

Insert 5 geometric means between -4 and -62 500​

Answers

9514 1404 393

Answer:

  Either of ...

{-20, -100, -500, -2500, -12500}{20, -100, 500, -2500, 12500}

Step-by-step explanation:

For some common ratio r, the first of the "geometric means" will be -4r, the next will be -4r^2, and so on. The 5th will be -4r^5, and finally, -62500 will be -4r^6.

Solving this last relation for r gives ...

  -4r^6 = -62500

  r^6 = 15625

Then r can be either of ...

  r = ±15625^(1/6) = ±5

For r = 5, the means are ...

  -4·5 = -20, and -100, -500, -2500, -12500

For r = -5, the means are ...

  -4(-5) = 20, and -100, 500, -2500, 12500

I need help finding what x is

Answers

Step-by-step explanation:

using Trigonometry,

sin40°=CB/x

x=CB/sin40°.

hope this helps you.

Answer x=1

Step-by-step explanation;

sin 90 =x

1=x

sorry im not sure of the answer

can someone helo me with this 4^x x 8^x ^+ ^1 = 2⁴​

Answers

Answer:

c

Step-by-step explanation:

Can someone solve this and thanks​

Answers

Y=mx+b if you do this for all your timetables you will get 2% wrong and 1% right meaning you should instead watch tiktok

Need help asap pls pls pls

Answers

Answer:

bqidhiwodxh

Step-by-step explanation:

627e29302990331 e7894094902

27290[

Other Questions
What is the missing angle Find the indicated values by using the graph.1. h(2)=_____2. h(4)=_____3. h(1)=_____4. h(5)=_____5. h(____)=46. h(____)=17. What are the values for h(____)=2? THIS ABOUT TO BE OVERDUE PLS HELP ME 7. Which group of words sounds the most like a theme?I love my friends.Jess is my best friendEven though we argue, my true friends stay with me through thick and thin.I get angry at my friends. Factor completely: 8x^2-4x-4 Which layer is thin, brittle, solid, and composed primarily of silica?the crustthe mantlethe outer corethe inner core In this clip, Paige describes the central idea that she took away from the story. What was her takeaway? How does she display the characteristics of an effective speaker when presenting her ideas? The PTA makes a $5.00 profit on each school sweatshirt they sell. If they made aprofit of $2,170.00, how many sweatshirts did they sell? What was the doctrine of affections?A document from the church banning polyphony.A philosophy stating that the purpose of the arts was to arouse emotions.A renewal of courtly love songs in the baroque era.A philosophy stating that music should be created for music's sake. young goodman brown audience Explain how the impeachment of Andrew Johnson is an example of the arguments about reunification of the US after the Civil War. Read the excerpt from Warriors Don't Cry.The next day, in the Sunday paper, I saw a pitiful closeup photograph of Elizabeth, walking alone in front of Central on that first day of integration. It pained my insides to see, once again, the twisted, scowling white faces with open mouths jeering, clustered about my friend's head like bouquets of grotesque flowers. It was an ad paid for by a white man from a small town in Arkansas. "If you live in Arkansas," the ad read, "study this picture and know shame. When hate is unleashed and bigotry finds a voice, God help us all."I felt a kind of joy and hope in the thought that one white man was willing to use his own money to call attention to the injustice we were facing. Maybe the picture would help others realize that what they were doing was hurting everybody.What is the central idea of the excerpt? Which factor determines the strength of gravity between Earth and the sun?(1) the degree of tilt of Earth's axis(2) the distance between Earth and the sun(3) Earth's period of rotation on its axis(4) the strength of insolation at Earth's surface Take the opposite position from Tan: that people with poor English skills are not treated differently or that they SHOULD be treated differently. What kinds of arguments would you use? why was the year 1898 a turning point in u.s. history? What name should I pick ranya or nohayla? At age 7, Curt was found guilty of starting a fire that burned the gazebo in the park of his home town in Illinois. At the age of 12, he was found guilty of burning a barn full of hay in a neighboring county. Now at the age of 21, Curt is living in the state of New York and he has been accused of setting the fire that destroyed a motorcycle shop. Can his juvenile records from Illinois be used against him in New York? Walmart is the biggest seller of raw chicken to the top 10 fast food chains in the United States. Walmartpurchases all its raw chicken from Germany. The United States is upset with Germany for Human RightsViolations and has created___________thus preventing Walmart from purchasing any products,including raw chicken from Germany,A.EmbargoB.GlobalizationC.Absolute Advantage why do stem get modified give any three examples and explain how this notification help the plant Directions: Read this short story below then answer the two questions at the bottom.( I will take a picture of the story bc it wont let me type it here) 1. How did Yousef and his family become U.S. citizens? 2. What almost happened to Yousef and his family at the airport?