Write a formal proof
Will give brainliest
Please answer with the full proofs

Write A Formal Proof Will Give Brainliest Please Answer With The Full Proofs

Answers

Answer 1

Answer:

Step-by-step explanation:

In ΔMOT and ΔMPR,

OT║PR and MR is a transverse,

Therefore, ∠MTO ≅ ∠MRP [Corresponding angles]

Similarly, OT║PR and MP is a transverse,

Therefore, ∠MOT ≅ ∠MPR [Corresponding angles]

ΔMOT ~ ΔMPR → [By AA postulate of similarity]

[tex]\frac{MP}{MO}= \frac{MR}{MT}[/tex] [Reason → Corresponding sides of the similar triangles are proportional]

[tex]\frac{MO+OP}{MO}=\frac{MT+TR}{MT}[/tex] [By segment addition postulate]

1 + [tex]\frac{OP}{MO}[/tex] = 1 + [tex]\frac{TR}{MT}[/tex]

[tex]\frac{OP}{MO}=\frac{TR}{MT}[/tex]

In ΔTSR,

∠1 ≅ ∠2 [Given]

Therefore, TR ≅ SR [Sides opposite to the equal angles in a triangle are equal]

Therefore, [tex]\frac{OP}{MO}=\frac{SR}{MT}[/tex]

Or [tex]\frac{MO}{OP}=\frac{MT}{SR}[/tex]

Hence proved.


Related Questions

Every row consists of 2,3 and 2 seats each. If there are 51 horizontal rows, and 13 seats are empty. How many passengers are on board?

Answers

Answer:

344

Step-by-step explanation:

really hard problem need help asap

Answers

Answer:

interior angle sum = (Number of sides x 180°) - 360°

interior angle sum = (6 x 180°) - 360° = 720°

∠CDE = (720° - 90° - 90°)/4 = 135°

Which multiplication problem does the model show?
Please help me it’s-test

Answers

I think the third once because is Making criss-cross

WILL MARK BRAINLIEST TO THE FIRST PERSON

Answers

Answer:

5

Step-by-step explanation:

7^2 = (2(6)^1/2)^2 + BC^2 (Pyth. theorem)

BC = 5

Answer:

its supposed to be 6.08 but we can take of..08 so 6

Step-by-step explanation:

[tex]a + b = c \\ ( 2 \sqrt{6} ) {}^{2} + {b}^{2} = {7}^{2} \\ 2 \times 6 + {b}^{2} = 49 \\ {b}^{2} = 49 - 12 \\ {b }^{2} = 37 \\ \sqrt{b} {}^{2} = \sqrt{37} \\ b = 6.08 \: or \: 6[/tex]

The more often a lie is told, the more people will believe it. Many mathematical models for this psychological ploy exist

Answers

Answer:

hello your question is incomplete attached below is the complete question

answer : The vertical asymptote is not relevant since a negative population holds no relevance ( option 3 )

Step-by-step explanation:

attached below is the Graph of P(x) plotted using online tools as part of the solution requested by the question

From the attached graph vertical asymptote is x  = 0

Also from the graph the x-intercept is (2, 0) which means that whenever  a lie is told twice, Nobody believes the lie ( i.e. y = 0 when x = 2 )

Rakesh Travels 45 km in 54 minutes how much time will he take to travel 70 kilometre ​

Answers

Answer:

84 minutes

Step-by-step explanation:

45:54

70:x

45/54=70/x

45x=70x54         - cross multiply

x=70x54/45        - divide by 45

x=84

Quadrilateral M' is the image of quadrilateral M under a dilation.
What is the center of the dilation?

Answers

Answer:

3

Hope that helps!

Step-by-step explanation:

9514 1404 393

Answer:

  D

Step-by-step explanation:

Draw lines through corresponding vertices. Where those lines meet is the center of dilation. It is point D.

Please help me with question 3 guys

Answers

Equiangular. They are all 90 degrees but they don’t have the same length of sides so they are equiangular meaning equal angles.

Help please! im confused

Answers

Answer:

1/2

Step-by-step explanation:

area of larger square: 12 x 12 = 144

area of smaller square: 6√2 x 6√2 = 72

S/B = 72/144 = 1/2

please help i’m in a test rn. Consider the geometric sequence -7, 14, -28, .... Select all that apply.
A
The 8th term is –7(-2)
B
The common ratio is 2.
С
The 9th term is greater than the 10th term.
D
The 7th term is 4 times the 5th term.
E
The 5th term of the sequence is -112.

Answers

nsweres el dodeel s  Step-by-step explanationen

Maya has 200 songs on her cell phone. 48 songs are K-Pop. What ​percent​ of Maya's songs are K-Pop?

Answers

48 /200 x 100/1 = 24%

Answer: 24%

Step-by-step explanation:

50 is equal to the difference of a number and 17​

Answers

Answer:

67

Step-by-step explanation:

i hope this is right ......

Answer:

50-17=33

33+17=50

could be wrong I don't know

Does anyone know this

Answers

The vertex is (-1,2) thats all i know

HELP ME PLZ

Marta has a bag of 10 orange blocks and 10 purple blocks she selected a block with out looking and return it to the bag she repeats this 20 times ( which charts show result that are most likely )

Answers

i believe it’s 9:11

this is wrong bc i need a problem not only one number what is the problem for "When I triple my number and add four, I get ten. What is my number?" this

Answers

Answer: 2

Step-by-step explanation:

Let's substitute the number as x in the equation.

Triple means you multiply it by 3.

Then you add four, and get 10.

We can write that like this:

3x + 4 = 10

Then subtract 4 from both sides:

3x = 6

And then divide both sides by 3:

x = 2

So the number is 2.

i’ll give a brainiest to the correct answer!!!!

Answers

Answer: 7
Explanation: both triangles are congruent, so the mid segment is half of 14
The answer to this would be 7

12ax² - (9a² - 8b²) x + (2a² + 5ab + 2b²) = 0 solve for x​

Answers

Answer:

[tex]\sqrt{\frac{(8b^2-9a^2)^2}{576a^2}-\frac{2b^2+5ab+2a^2}{12a} } -\frac{8b^2-9a^2}{24a} \\\\or\\-\sqrt{\frac{(8b^2-9a^2)^2}{576a^2}-\frac{2b^2+5ab+2a^2}{12a} } -\frac{8b^2-9a^2}{24a}[/tex]

Step-by-step explanation:

The quadratic formula for

[tex]ax^2+bx+c=0[/tex]

the solution is: (-b±√(b²-4ac))/(2a)

The solution is:

[tex]\sqrt{\frac{(8b^2-9a^2)^2}{576a^2}-\frac{2b^2+5ab+2a^2}{12a} } -\frac{8b^2-9a^2}{24a} \\\\or\\-\sqrt{\frac{(8b^2-9a^2)^2}{576a^2}-\frac{2b^2+5ab+2a^2}{12a} } -\frac{8b^2-9a^2}{24a}[/tex]

Part of a cross-country skier's path can be described with the vector function r = <2 + 6t 2 cos(t), (15 − t)(1 sin(t))> for 0 ≤ t ≤ 15 minutes, with x and y measured in meters.

The derivatives of these functions are given by x′(t) = 6 − 2sin(t) and y′(t) = −15cos(t) + tcos(t) − 1 + sin(t).

Find the slope of the path at time t = 4. Show the computations that lead to your answer.

Find the time when the skier's horizontal position is x = 60.

Find the acceleration vector of the skier when the skier's horizontal position is x = 60.

Find the speed of the skier when he is at his maximum height and find his speed in meters/min.

Find the total distance in meters that the skier travels from t = 0 to t = 15 minutes.

Answers

It is going to be 73

https://www.coursehero.com/tutors-problems/Calculus/16028189-Part-of-a-cross-country-skiers-path-can-be-described-with-the-vector/

Determine which translations would map Figure L onto Figure M. Help please !!!!!!! Will be marking Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

8 points left and 7 points down

Step-by-step explanation:

Get the difference of one point on M and corresponding point on L, and  find the difference of coordinates.

Lets take top right points:

(7, 9) and (-1, 2)

The difference:

-1 - 7 = -8 ⇒ 8 points left2 - 9 = -7 ⇒ 7 points down

If CA= 4x and CB= 8x-12 , what is the length of CA ?

Answers

Answer:

Step-by-step explanation:

CA and CB are both opposite equal 90 degree angles so are equal so we can say

8x-12=4x

4x-12=0

4x=12

x=3, since CA=4x

CA=4(3)=12

The difference between four times a number x and 5 is 24.

Answers

Answer:

4x - 5 = 24

x= 7.25

Step-by-step explanation:

4x - 5 = 24

4x= 24 + 5

x = 29 / 4 = 7.25

I hope im right!!

For the graphed function f(x) = (4)x - 1 + 2, calculate the average rate of change from x = 2 to x = 4.

Answers

Answer:

[tex]Average = 30[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 4^{x - 1} + 2[/tex]

Required

Average [tex]rate\ of\ change[/tex] from 2 to 4

This is calculated using:

[tex]Average = \frac{f(b) - f(a)}{b - a}[/tex]

Where

[tex]a= 2[/tex]  and  [tex]b = 4[/tex]

So:

[tex]Average = \frac{f(4) -f(2)}{4 - 2}[/tex]

[tex]Average = \frac{f(4) -f(2)}{2}[/tex]

Calculate f(2) and f(4)

[tex]f(x) = 4^{x - 1} + 2[/tex]

[tex]f(2) = 4^{2-1} + 2[/tex]

[tex]f(2) = 4 + 2[/tex]

[tex]f(2) = 6[/tex]

[tex]f(4) = 4^{4-1} + 2[/tex]

[tex]f(4) = 4^3 + 2[/tex]

[tex]f(4) = 66[/tex]

So:

[tex]Average = \frac{f(4) -f(2)}{2}[/tex]

[tex]Average = \frac{66 - 6}{2}[/tex]

[tex]Average = \frac{60}{2}[/tex]

[tex]Average = 30[/tex]

i need help here and if you dont help you will be flaged

Answers

Answer:

Answer below (dont flag people if they dont get it right, that's just messed up).

Step-by-step explanation:

The scale factor is 1.5

What is the solution to the system of equations? y = x + 3 3x - 4y = -7

Answers

Answer:

x=-5 & y=-2

Step-by-step explanation:

Step 1: Solve y=x+3 for y:

y=x+3

Step 2: Substitute x+3 for y  in 3x-4y =-7:

3x-4y=-7

3x-4(x+3)=-7

-x-12=-7 (Simplify both sides of the equation)

-x-12+12=-7+12 (Add 12 to both sides)

-x=5

-x/1=-5/-1 (Divide both sides by -1)

Step 3: Substitute -5  for x in y=x+3:

y=x+3

y=-5+3

y=-2 (Simplify both sides of the equation)

x=-5 and y=-2

im in 7th can i get help on these quetion

Answers

Answer:

so what is the question pls brief it up

Answer:

CAN U CUMMM?

Step-by-step explanation:

14. Find x, y, and z in the figure.
900
2ནས་
15. Find x and y in the figure.
3
4yº (5r-20)

Answers

we know that

The sum of the internal angles in the triangle must be  degrees

see the attached figure with letters to better understand the problem

Step

Find the measure of the angle x

In the triangle ABC

solve for x

therefore

the answer Part a)  is

the measure of angle x is

Step

Find the measure of the angle z

we know that

--------> by supplementary angles

substitute the value of x

therefore

the answer Part b)  is

the measure of angle z is

Step

Find the measure of the angle y

In the triangle ACD

solve for y

therefore

the answer Part c)  is

the measure of angle y is

please help!

1. select all solutions to the equation

3x - y = 10

A). Neither

B). only (3, 1)

C). (4, -2)

D). both (4, -2) and (3, 1)

2. which of the following points are NOT
solutions to the equation? (select all that apply)

y = 5x - 7

A). (1, -2)

B). (3, 8)

C). (1, 2)

D). 0, 1)

E). (-1, -2)

F). (0, -7)

Answers

1. B) only (3,1)

2. A), B) and F)

Do you have good methods to calculate double digit multiplication quickly and mentally? Plzzz give me some good tips. WILL GIVE BRAINLIEST!!!!!

Answers

To multiply two 2-digit numbers without showing work, first multiply the ones digits together, then 'cross-multiply,' and finally multiply the tens digits together. Make sure to carry whenever a product exceeds 9. As you will see in the examples below, you must work your way from right to left to perform this trick.HOPE IT HELPS !!!

Answer:

You can use grid method.

That is easy.

what is the name for the median of the lower half of data values?

Answers

I believe it is called the Lower Quartile. I’m not 100% sure but I think it is. :)

people ask me sometimes why can’t you do your homework and I say it’s because I help people with theres and they never help me :((((((

Answers

Answer:

6/6 6= 1

Step-by-step explanation:

may be this Is the ans sorry if l am wrong

36 is divided
6 is divisor
And the =6 is the quotient
Other Questions
is it just me or does anyone else like NF?? Write a 350- to 450-word essay on the advances and limitations of early photography. You may use research but be sure to document your sources. Upload your essay below. At what point is a base no longer added during a titration? A. when the pH increases suddenly in the flask B. when the phenolphthalein remains clear in the flask C. before the solution in the flask reaches the equivalency point D. before half of the base is completely drained from the burette MY TEACHER NEVER TAUGHT US THIS BUT SOMEHOW, EVERYONE ELSE IN THE CLASS KNOWS HOW TO DO THIS!! Complete the sentence with the correct response.You enjoy photography and have a special Pinterest page where you share your images with others. Canon, amanufacturer of cameras, approached you to place advertising on your Pinterest page. This type of marketing by Canonis known as ___advertising. Question 30 (2 points)Which of the following is an example of Robert Merton's institutionalized means to achieve economic success?A.Completing collegeB.Creating diversityC.Having cultural strain deD.Being unemployedE.Being non-adjusting What were the details of the zimmerman Telegram? THIS NOT A QUESTION THAT NEED A ANSWER, THIS IS FOR FUTURE PEOPLE WHO MIGHT NEED IT>3In the cafeteria, there is one large table with 10 seats and many smaller tables with 4 seats. The cafeteria has a fire code restriction that the room can hold a maximum of 70 students. If a student is seated at every seat at each table, how many small tables can be in the cafeteria without breaking the fire code?Which of the following numbers of students would be able to be in the cafeteria? What is social security What is the answer to this question? please help me with this I need it please help do you think that this is good tell me your honest opinion which inequality is graphed below? Find the equation of the line.Use exact numbers.WILL MARK BRAINLIEST 15 POINTS Find the equation for the line that passes through (-9,-5) that has slope - 4/7 give your answer in point-slope form. you do not need to simplify (________) Lydia is organizing a cooking competition at her school. She ordered some basic supplies to share among the teams that are competing. The teams will be bringing other ingredients as well.Lydia decide to provide cheddar cheese for the competition. She buys $4.2 kilograms for $39.90 Part A She estimates the cost of 1 kilograms of cheese to be $1. Is her estimate Reasonable?Part B To find the actual cost of 1 kilograms of cheese, Lydia needs to divide $39.90 by 4.2. How can she change the division problem to an equivalent problem.Part CIf 7 teams share the cheese equally, How much cheese will each team get? Lol i know this is alot What is the solution to ther equation 2(x-4)squared=50 Read the following excerpt from Levitt and Dubner's Freakonomics.The bagel data also reflect how much personal mood seems to affect honesty. Weather, for instance, is :major factor. Unseasonably pleasant weather inspires people to pay at a higher rate. Unseasonably coldweather, meanwhile, makes people cheat prolifically; so do heavy rain and wind. Worst are the holidays.The week of Christmas produces a 2 percent drop in payment rates again, a 15 percent increase in theft,an effect on the same magnitude, in reverse, as that of 9/11. Thanksgiving is nearly as bad; the week ofValentine's Day is also lousy, as is the week straddling April 15. There are, however, a few good holidays:the weeks that include the Fourth of July, Labor Day, and Columbus Day. The difference in the two sets ofholidays? The low-cheating holidays represent little more than an extra dayoff from work. The high-cheating holidays are fraughtwith miscellaneous anxieties and the high expectations of loved ones.The excerpt is an example of inductive reasoning because the authors 7. Most of Mali's people wereA. Berbers.B. traders.C. nomads.D. farmers.