solve the problems. write the complete proof in your paper homework and for online (only) complete the probing statement (if any) that is a part of your proof or related to it

Solve The Problems. Write The Complete Proof In Your Paper Homework And For Online (only) Complete The

Answers

Answer 1

Answer:

[tex]m \angle A = m \angle C[/tex] by reason [tex]\overline{AB} \cong \overline{BC}[/tex] and [tex]m \angle B = m \angle M = m \angle P[/tex].

[tex]\triangle AMO \cong \triangle CPO[/tex] SAS Theorem

Step-by-step explanation:

We proceed to demonstrate the statement by Geometric means:

1) [tex]\overline{AB} \cong \overline{BC}[/tex], [tex]\overline {AM} \cong \overline {PC}[/tex], [tex]m\angle AMO = m\angle CPO[/tex] Given.

2) [tex]\frac{AM}{AB} = \frac{PC}{BC}[/tex] Proportionality.

3) [tex]\frac{AM}{AM + MB} = \frac{PC}{BP + PC}[/tex] Definition of line segments.

4) [tex]\frac{1}{1+\frac{MB}{AM} } = \frac{1}{\frac{BP}{PC}+1}[/tex] Algebra.

5) [tex]\frac{BP}{PC} + 1 = 1 +\frac{MB}{AM}[/tex] Algebra.

6) [tex]\frac{BP}{PC} = \frac{MB}{AM}[/tex] Algebra.

7) [tex]BP = BM[/tex] By 1)

8) [tex]m \angle B = m \angle M = m \angle P[/tex] By 1), 7)

9) [tex]\triangle AMO \sim \triangle ABC[/tex], [tex]\triangle CPO \sim \triangle ABC[/tex] By 1), 7), 8). Defintion of simmilarity.

10) [tex]\frac{AM}{MO} = \frac{AB}{BC}[/tex], [tex]\frac{PO}{PC} = \frac{AB}{BC}[/tex] Definition of proportionality.

11) [tex]\frac{AM}{MO} = \frac{PO}{PC}[/tex] Algebra.

12) [tex]AM^{2} = PO\cdot MO[/tex] Algebra.

13) [tex]PO = MO[/tex] By 12) and Algebra.

14) [tex]\overline{PO} \cong \overline{MO}[/tex] By 13).

15) [tex]\triangle AMO \cong \triangle CPO[/tex] SAS Theorem/Result.


Related Questions

Write the correct answer on each blank.
1. Algebra is a continuation of arifmetic
using letters of the
to represent numbers.

Answers

Answer:

Step-by-step explanation:

alphabet to represent numbers.

7
Setting 3 equal to which ratio would result in a valid proportion?
9
49
18
42
织但

Answers

Answer:

000

Step-by-step explanation:

000

Find the 6th term of each geometric sequence. 9, 45, 225, 1125

Answers

Answer:

28125    

Step-by-step explanation:

Refer to the image below.

Find the area of the shaded region

Answers

Answer: Ssh=1323π

Step-by-step explanation:

The point O Centre  big circle r1=2r2=4 then radius small cirler r2=21Then S1=42²π=1764  ; S2=21²π=441 π  S(shaded)=S1-S2=?Ssh=(1764-441)π=1323π

Ba đường phân giác của tam giác ABC gặp nhau tại O phát biểu nào sau đây đúng
A Ao luôn vuông góc với BC
B OA=OB=OC
C Ao luôn đi qua trung điểm BC
D O cách đều ba cạnh của tam giác

Answers

Answer:

D

Step-by-step explanation:

từ O hạ đường vuông góc xuống các cạnh AB, AC, BC các đường vuông góc đó sẽ bằng nhau

A chocolate factory has three classifications for the candies that it makes:
Caramels (12 varieties). please help!!!
Milk Chocolate (6 varieties)
Dark Chocolate (9 varieties)
1. Set up the NOTATION to figure out the different ways to choose 7 of the 12 Caramels
2. Set up the NOTATION to figure out the different ways to choose 3 of the 6 Milk Chocolates
3. Set up the NOTATION to figure out the different ways to choose 5 of the 9 Dark Chocolates
4. A customer has ordered an assortment to consist of seven types of caramels, three types of chocolate, and five types of dark chocolates.
How many such assortments are possible?

Answers

Answer:

1. 792 2. 20. 3. 126. 4.1995840

Step-by-step explanation:

Use the formula C(n,r)= n!/ r/ (n-r)! where n is total quantity of varieties and r is the quantity uou should choose.

1) n=12 (total quantity); r= 7

C(12,7)= 12!/(7! *(12-7)!)= 8*9*10*11*12/ (5*4*3*2)= 8*9*11= 72*11= 792

2) n=6 r=3

C(6,3)= 6!/ (3! * (6-3)!)= 6!/ (3!)^2= 4*5*6/ 3*2= 20.

3) C(9,5)= 9!/ (5!*4!)= 6*7*8*9/ (4*3*2*1)= 2*63= 126

4) You need to choose the whole set which consists of three components that has been defined. Multiply previous results

792*20*126= 1995840.

find the missing side lengths​

Answers

x=6
y=3
if it is a 30-60-90 then the ratio is 1-sqrt3-2 so the side across from the 60 is 3sqrt3 the side across from 30 would be 3 and the side across from 90 would be 6

The sum of two numbers is 75. If one exceeds the other by 35, find the numbers.

Answers

Answer:

20 and 55

Step-by-step explanation:

Let's assume, we have two numbers 'x' and 'y'.

Now, all we know is:

one number exceeds the other by 35 (i.e  their difference is 35)sum of two numbers is 75

So we form two equations:

x + y = 75_____(i)

and x - y =  35

so, x = y+35 _____(ii)

Put the value of x from (ii) into (i)

x + y = 75

y + 35 + y = 75

2y = 40

y = 20

Put value of y back in (ii)

x = y+35

x = 20 + 35

x = 55

The first number is 20, and the second number is 55.

Given that the sum of two numbers is 75, one exceeds the other by 35, we need to find the numbers.

Let's assume the first number is x.

According to the problem, the second number exceeds the first by 35, so the second number can be expressed as (x + 35).

The sum of the two numbers is given as 75, so we can set up the equation:

x + (x + 35) = 75

Simplifying the equation, we get:

2x + 35 = 75

Subtracting 35 from both sides:

2x = 40

Dividing both sides by 2:

x = 20

Therefore, the first number is 20, and the second number is (20 + 35) = 55.

Learn more about numbers click;

https://brainly.com/question/24908711

#SPJ4

Sally decides to buy quarts of ice cream at $5 each and boxes of pizza at $10 each for her softball team.

Part 1) Write an algebraic expression that represents the total cost of the food if Sally buys x quarts of ice cream and y boxes of pizza.

Part 2) What is the total cost of Sally’s purchase if x=4 and y=5? Be sure to show your work.

Answers

Answer:

5x + 10y

5*4 + 10*5

20+50 = $70

Step-by-step explanation:

An equilateral triangle has a perimeter of 18 feet. If a square whose sides have the same length as one side of the triangle is built, what will be the area of the square?

Answers

Answer:

36 ft²

Step-by-step explanation:

equilateral means all sides are equally long.

a triangle has 3 sides.

in our case they are all equally long.

and their sum (all 3 sides together) is the perimeter

P = 18 = 3 × side length

side length = 18/3 = 6 ft

a square with the same side length (6) had then an area of

side length × side length = 6×6 = 6² = 36 ft²

it is important to remember : a length is measured e.g. in feet (ft). an area is then meshed in square-feet (ft²). it is important to add this to the calculated numbers to express the right dimension of these numbers.

Find the area of the figure.

Answers

we observe that this figure could be divided into a triangle and a rectangle.

for the area of the triangle, bxh/2, we have 15 x 12/2 = 90

and for the rectangle, we have 5 x 12 = 60

so, 90 + 60 = 150

hope it helps :)

Find the value of b. PLEASE HELP ASAPPPP!!!!
A. 56
B. 140
C. 230
D. 65

Answers

Answer:

C

Step-by-step explanation:

b=360-2(65)=360-130=230

Answer:

230

Step-by-step explanation:

b= 360-2(65)

=360-130

=230

Sabrina is 4, and her brother Sam is 9 years older than she is. In how many years will Sam be twice as old as Sabrina?​

Answers

5 years hope this helps u good luck

Evaluate the expression. Question 9 options: A) tan π∕56 B) tan 17π∕56 C) –tan 17π∕56 D) –tan π∕56

Answers

Answer:

A

Step-by-step explanation:

Note the expansion

tan(a - b) = [tex]\frac{tana-tanb}{1+tanatanb}[/tex]

We are given the right side of the expansion , then left side is

tan([tex]\frac{\pi }{7}[/tex] - [tex]\frac{\pi }{8}[/tex] )

= tan([tex]\frac{8\pi -7\pi }{56}[/tex] )

= tan ([tex]\frac{\pi }{56}[/tex] ) → A

Question 10 The hypotenuse of a right triangle is I m longer than the longer leg. The other leg is 7 m shorter than the longer leg. Determine the lengths of the three sides of the triangle. (3 marks)​

Answers

Answer:

5, 12, 13

Step-by-step explanation:

let x be the longer leg then x + 1 is the hypotenuse and x - 7 the shorter leg

Using Pythagoras' identity in the right triangle

x² + (x - 7)² = (x + 1)² ← expand using FOIL

x² + x² - 14x + 49 = x² + 2x + 1

2x² - 14x + 49 = x² + 2x + 1 ( subtract x² + 2x + 1 from both sides )

x² - 16x + 48 = 0 ← in standard form

(x - 4)(x - 12) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 12 = 0 ⇒ x = 12

x = 4 , then x - 7 = 4 - 7 = - 3 ← not possible

x = 12, then x - 7 = 12 - 7 = 5 and x + 1 = 12 + 1 = 13

The lengths of the 3 sides are

longer leg = 12 m , shorter leg = 5 m and hypotenuse = 13 m

Can someone help me with this please !!

Answers

Step-by-step explanation:

I need help to...

I keep putting it in and no one has ever answered it and I'm struggling and getting stressed.

factorise the expression 6x²y + 15xy²

Answers

Solution : 3xy(2x + 5y)

Convert 7 6/7 into an improper fraction.

Answers

Answer:

55/7

Explanation:

Step 1

Multiply the denominator by the whole number

7 × 7 = 49

Step 2

Add the answer from Step 1 to the numerator

49 + 6 = 55

Step 3

Write answer from Step 2 over the denominator

Answer = 55/7

I hope you are enjoying your day and that this helps you out! Brainliest would be appreciated :)

Answer:

55/7

Step-by-step explanation:

To convert 7 6/7 to an improper fraction

Start by multiplying the whole number with the denominator 7 x 7 = 49Then add the numerator to the number you get 49 + 6 = 55 The 55 will be your numerator for your improper fraction. 55/7 The denominator will remain the same

Answer pls……………………….

Answers

Answer:

D

Step-by-step explanation:

x^2=y^3

Then x^6=y^9 but x^3z=z^9 so 3z=6, z=2

Answer:

z = 2

Step-by-step explanation:

[tex]x^{3z} = y^{9}\\\\x^{3z} =y^{3*3} \\\\x^{3z}= (y^{3})^{3}\\\\x^{3z}=(x^{2})^{3}\\\\x^{3z} = x^{6}[/tex]

As bases are same, compare the powers

3z = 6

z = 6/3

z = 2

What is the intersecting point of these two lines?
1. y = 3/4x + 6
2. y = x + 1

Answers

The answer is Y=3/4x + 6

For people who have taken PreCalc/Calc (Summer Math Packet)
Find the constant a such that the function is continuous on the entire real line:

Answers

There is no a that will make f(x) continuous.

No matter what value of a you pick, you will always have the one-sided limits,

[tex]\displaystyle \lim_{x\to a^-}f(x) = \lim_{x\to a}(x^2-a^2) = 0[/tex]

[tex]\displaystyle \lim_{x\to a^+}f(x) = \lim_{x\to a}(x^2-a^2) = 0[/tex]

but f(a) = 8 regardless of a.

round to the nearest underlined place 18 904 A. 18,000 B. 19,000 C. 20,000 D. 18,920

Answers

Answer:

B 19,000

Step-by-step explanation:

;------------------------;

Use a calculator to find the mean of the data. {20.9, 24.6, 20.3, 24, 20.9, 24.9, 22.4,
23.5, 21.9, 21.9, 22.3, 21.2, 19.9, 23.2, 23.1, 21.6, 24, 20.8, 24.2, 20.1, 22.9, 25}

Answers

Answer:

The mean will be 22.436363636364.. or 22.4 (rounded to the nearest tenth)

you add them then divide by 22 since it has 22 terms, to find the mean

Answer:

use a calculator and add all values and divide by 22

u et final value as ( as per me not sure..maybe mistake) is

493.6/22 and ans Is 22.4363636364

Do the ratios 9/4 and 18/8 form a proportion?

Answers

Yes

Step-by-step explanation:

I believe so. Hope this helps

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU K NOW THE ANSWER!!
The entire group of objects or individuals under consideration in a survey is the ________________.
A. population
B. establishment
C. corporation
D. entity

Answers

Answer:

A: population

Step-by-step explanation:

Um its just the definition of the word i think.

Population: a collection of persons, things, or objects under study.

Determine the factors of x^2 - 7x - 10.
O (x + 2)(x - 5)
O Prime
O (x-2)(x + 5)
O (x + 10)(x - 1)

Answers

Answer:

O Prime

Step-by-step explanation:

x^2 - 7x - 10

What two numbers multiply to -10 and add to -7

There are no two number that multiply to -10 and add to -7

Answer:

x^2 - 7x - 10

Think about it like this: What two numbers multiply to get -10 and add to get -7?

But no matter what we try, this doesn't work. And that's because x^2 - 7x - 10 is actually prime.

So "Prime" is the correct answer.

Let me know if this helps.

She walks to her school at a distance of 800m from her house in 55 seconds. On reaching, she finds that the school is closed and comes back by car with her friend and reaches home in 25 seconds. Find her average speed in m/s

Answers

Answer:

per second she was walking 14.54m roughly and driving is 32m per second therefore the average is 23.27m/s

Step-by-step explanation:

divide both sides by 55 to get one.

divide both sides by 25 to get one

THEN

to find the average you simply add them and divide by two which is 46.54 which divided by two is roughly 23.27.

please someone help me! asap!!

Answers

Answer:

Last option= 30 minutes

Find the coordinate of J' after a reflection of the triangle about the y-axis. Write your answer in the form (a,b)

Answers

Answer:

A (3,3)

J (5,2)

L (0,0)

Step-by-step explanation:

.........................

Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.

square root of the quantity x plus 7 end quantity minus 1 equals x

Answers

Answer:

x=2  true solution

x=-3 extraneous

Step-by-step explanation:

sqrt(x+7) -1 = x

Add 1 to each side

sqrt(x+7) -1+1 = x+1

sqrt(x+7)  = x+1

Square each side

(sqrt(x+7))^2  = (x+1)^2

x+7 = x^2 +2x+1

Subtract x from each side

7 = x^2 +x +1

Subtract 7 from each side

0 = x^2 +x - 6

Factor

0 = (x+3)(x-2)

Using the zero product property

x+3 = 0   x-2 =0

x=-3  x=2

Check solutions

x=-3

sqrt(-3+7) -1 = -3

sqrt(4) -1 = -3

3 =-3  extraneous

x=2

sqrt(2+7) -1 = 2

sqrt(9) -1 = 2

3 -1 =2

2 =2  true

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