Please help:

Given: ∠4 is congruent to ∠2
Prove: ∠3 and ∠1 are supplementary

Statements and Reasons

Please Help:Given: 4 Is Congruent To 2 Prove: 3 And 1 Are SupplementaryStatements And Reasons

Answers

Answer 1

Answer:

See Below.

Step-by-step explanation:

We can write a two-column proof.

Statements:                                                Reasons:

[tex]\displaystyle 1)\, \angle 4\cong \angle 2[/tex]                                                   Given

[tex]\displaystyle 2)\, \angle 3 \cong \angle 4[/tex]                                                   Vertical Angles are Congruent

[tex]\displaystyle 3) \, \angle 1 + \angle 2 = 180[/tex]                                          Linear Pair

[tex]\displaystyle 4)\, \angle 1 + \angle 4 = 180[/tex]                                          Substitution

[tex]\displaystyle 5) \, \angle 1 + \angle 3 = 180[/tex]                                          Substitution

[tex]\displaystyle 6) \, \text{$\angle 3$ and $\angle 1$ are supplementary}[/tex]                  Definition of Supplementary Angles


Related Questions

Which line is parallel to the line that passes through the points (1,7) and (-3, 4)? A. y=--x-5 B. y=+*+1 y=-x-8 O c. D. 11 v==x+3 4 ​

Answers

Answer:

B

Step-by-step explanation:

because

Find the solution to the system
of equations.
y = 2x + 3
([?], [ ]
2
بیر
2 3 4
-4 -3 -2 -1
-1
-2
3
-4
y=-x
Enter

Answers

Answer:

The two lines meet at (-1,1)

what is equivalent to x-2(3x-1)=3x

Answers

Answer:

1/4 = x

Step-by-step explanation:

x - 2( 3x - 1 ) = 3x

Step 1 :- Distribute 2

x - 2 × 3x - 2 × 1 = 3x

x - 6x + 2 = 3x

Step 2:- Combine like terms

-5x + 2 = 3x

Step 3 :- Add 5x to both sides

-5x + 5x + 2 = 3x + 5x

2 = 8x

Step 4 :- Divide both side by 8

2/8 = 8x / 8

1/4 = x

Omgg please help right now

Answers

Answer:

64in^3

Step-by-step explanation:

6×3 = 18

18×2 = 36

4×7 = 28

36+28 = 64

Hope this helps! :)

evaluate the expression when c= -4 and x=5
x-4c​

Answers

Answer:

21

Step-by-step explanation:

Fill in x into 5 and c into -4

5-4(-4)

21

Answer: -11

Step-by-step explanation:

x=5

and

c=4

the equation written in numbers is:

5-4x4 which simplified equals 5-16

this equals 5-5-11 so it should be -11

XYZ ∆ where Angle Y =90° , XZ= 14 m , XY = 6 m . Find YZ ?

( Show all your workings )

Answers

[tex]4 \sqrt{10} [/tex]

Step-by-step explanation:

Use Pythagoras

A^2 + b^2 = c^2

(6)^2 + b^2 = (14)^2

36 + b^2 = 196

B^2 =160

[tex]b = \sqrt{160} [/tex]

[tex]b = 4 \sqrt{10} [/tex]

You want to buy a $203,000 home. You plan to pay 10% as a down payment, and take out a 30 year loan for the rest. or a) How much is the loan amount going to be? $ b) What will your monthly payments be if the interest rate is 6%? $ c) What will your monthly payments be if the interest rate is 7%?​

Answers

Answer:

The amount of the loan is going to be $ 182,700, and the monthly payments, if the interest is 6%, are going to be $ 537.95, while if the interest is 7%, are going to be $ 543.02.

Step-by-step explanation:

Given that you want to buy a $ 203,000 home, and you plan to pay 10% as a down payment, and take out a 30 year loan for the rest, for A) determine how much is the loan amount going to be, B) determine what will your monthly payments be if the interest rate is 6%, and C) determine what will your monthly payments be if the interest rate is 7%, the following calculations must be made:

A) 100 - 10 = 90

203,000 x 0.90 = X

182,700 = X

B) (182,700 x 1.06) / (30 x 12) = X

193,662 / 360 = X

537.95 = X

C) (182,700 x 1.07) / (30 x 12) = X

195,489 / 360 = X

543.025 = X

Therefore, the amount of the loan is going to be $ 182,700, and the monthly payments, if the interest is 6%, are going to be $ 537.95, while if the interest is 7%, are going to be $ 543.02.

what is g(x)? please help

Answers

Answer:

It's the 4th answer: g(x) = 1/4 x - 3

Step-by-step explanation:

Switch x and y and solve for y

x=4y+12

-4y=-x+12

y = 1/4 x - 3

Mathematics I need help

Answers

(X-3)^2 +4. Is the answer

Test 21,753 for divisibility by 2,3,5,9 and 10

Answers

The answer is three (3) and nine (9)

Explanation:

21,753 ÷ 2 = 10,876.5

21,753 ÷ 3 = 7,251

21,753 ÷ 5 = 4,350.6

21,753 ÷ 9 = 2,417

Answer:

Step-by-step explanation:

21,753

at unit place=3 not an even number,not equal to 5 and not equal to 0

so 21,753 is not divisible by 2,5 and 10

again

2+1+7+5+3=18 divisible by 3 and 9.

so 21,753 is divisible by 3 and 9.

If the profits in your consulting business increase by 8​% one year and decrease by 2% the following​ year, your profits are up by ​6% over two years.

Answers

Answer:

not true....

assume $100 start.

in year 1 you are at $108 (up 8%)

in year 2  $108(.98) ... that is 2% down = 105.84...

thus your profit is up only 5.84% over the two years

Step-by-step explanation:

Which of the following is result of using the remainder theorem to find F(3) for the polynomial function F(x) = x^3 - 9x^2 + 5x - 2


A. -32

B. 11

C. -59

D. -41

Answers

Answer:

-41

Step-by-step explanation:

The remainder theorem states that when a polynomial F(x) is divided by (x - k) the remainder is F(k). In other words, the remainder when f(x) is divided by (x-k) is calculated by simply calculating F(k).

Given:

F(x) = x³ - 9x² + 5x - 2                   -----------------(i)

To calculate F(3), substitute x = 3 into equation (i) as follows;

F(3) = (3)³ - 9(3)² + 5(3) - 2

F(3) = 27 - 81 + 15 - 2

F(3) = -41

This means that if the polynomial F(x) = x³ - 9x² + 5x - 2 is divided by x - 3, the remainder will be -41.

PLEASE HELP!!!! WILL GIVE BRAINLIEST!!!!

Answers

Answer:

9

[tex]3^{\frac{4}{2} }[/tex] = [tex]3^{2} =9[/tex]

Step-by-step explanation:

Happy buys 5 litres of milk on Monday and uses a fifths of it. On Tuesday she uses
half of what is left. How many millilitres are left after Tuesday?​

Answers

it is 2000 ml after she drank it on Tuesday

Answer:

2000 mL

Step-by-step explanation:

1. The amount of milk left after 1/5 is drank is 4 litres, which is 4000 mL.

2. She drinks half of that, so divide 4000 mL by two.

2000 mL are left after tuesday

Please Help NO LINKS

Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by
y
=
x
2
,
y
=
0
, and
x
=
9
,
about the
y
-axis.

V
=

Answers

Answer:

[tex]\displaystyle V = \frac{6561 \pi}{2}[/tex]

General Formulas and Concepts:

Algebra I

FunctionsFunction NotationGraphing

Calculus

Integrals

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                     [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Shell Method:                                                                                                         [tex]\displaystyle V = 2\pi \int\limits^b_a {xf(x)} \, dx[/tex]

[Shell Method] 2πx is the circumference[Shell Method] 2πxf(x) is the surface area[Shell Method] 2πxf(x)dx is volume

Step-by-step explanation:

Step 1: Define

y = x²

y = 0

x = 9

Step 2: Identify

Find other information from graph.

See attachment.

Bounds of Integration: [0, 9]

Step 3: Find Volume

Substitute in variables [Shell Method]:                                                           [tex]\displaystyle V = 2\pi \int\limits^9_0 {x(x^2)} \, dx[/tex][Integrand] Multiply:                                                                                          [tex]\displaystyle V = 2\pi \int\limits^9_0 {x^3} \, dx[/tex][Integral] Integrate [Integration Rule - Reverse Power Rule]:                        [tex]\displaystyle V = 2\pi \bigg( \frac{x^4}{4} \bigg) \bigg| \limits^9_0[/tex]Evaluate [Integration Rule - FTC 1]:                                                                 [tex]\displaystyle V = 2\pi \bigg( \frac{6561}{4} \bigg)[/tex]Multiply:                                                                                                             [tex]\displaystyle V = \frac{6561 \pi}{2}[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Applications of Integration

Book: College Calculus 10e

find the angle between following linesroot 3x-y=2,x-root 3y=7

Answers

Answer:

where I find? where is the directions

in a board game you must roll two 6-sided number cubes. you can only start the game if you roll a 3on at least one of the number cubes.

Answers

Answer:

[tex]1-(5/6)^2[/tex]

31% chance

1 in 3.272727273 rolls

Step-by-step explanation:

Solve using suitable arrangement and properties.
a) 417×1002
b) 4×573×25
c) 8312+284+788+716
d) 125×44+56×125​

Answers

Answer:

Step-by-step explanation:

A- 417 × 1002

  =  417 × (1000+2)

  =  417× 1000+ 417×2

  = 417000+ 834

  = 417834

B- 4× 573×25

    = 4× 25+ 573

    = 100+ 573

   = 57300

C- 8312+284+788+716

   = (8312+284) + (788+716)

   = 8596+ 1504

  = 10,100

D- 125×44+56×125

   = 125× (44+56)

  = 125× 100

  = 12500

Please mark me as brainlist

It took me alot of time to type sorry for that...

Which of the following shows the graph of y = 4^x + 3?

Answers

The images of the graphs are missing and so i have attached them.

Answer:

Graph in option A

Step-by-step explanation:

y = 4^(x) + 3

Let's input some values of x and find the corresponding value of y and see if any of the graph matches the coordinates we get.

At x = 0;

y = 4^(0) + 3

y = 4

At x = 1;

y = 4^(1) + 3

y = 7

At x = 2;

y = 4^(2) + 3

y = 19

Looking at all the graphs, the only one with y = 4 when x = 0 is graph A

how many integers from 1 through a

Answers

Answer:

sorry but I don't understand

Step-by-step explanation:

please forgive me

comment if I am forgiven

(6^2)^4 simplify the expression

Answers

Answer:

36

Step-by-step explanation:

(6^2)^4

(6)^2+4

6^6

36

simplify the expression : (6²)⁴= (36)⁴= 1679616

Or

[tex]{6}^{2 \times 8} = 1679616[/tex]

Isch is taking a class where people say that everyone fails the first exam; however, he got a 93%. Instead of being proud, he thought, It must have been a fluke. Based on this, what can you conclude about Isch

Answers

Answer:

is a smart guy and also don't want others to hate him

What is the slope of the line that passes through (17, −13) and (17, 8)?

(also can you try to explain ive been having trouble with these types of question)

Answers

Answer:

Slope is undefined. Line parallel to y-axis.

Step-by-step explanation:

By Analytic Geometry, we can determine the slope of a line by knowing two distinct lines and using the definition of secant line:

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] (1)

Where:

[tex](x_{1}, y_{1})[/tex] - Coordinates of the initial point.

[tex](x_{2}, y_{2})[/tex] - Coordinates of the final point.

[tex]m[/tex] - Slope.

If we know that [tex](x_{1}, y_{1}) = (17, -13)[/tex] and [tex](x_{2}, y_{2}) = (17, 8)[/tex], then the slope of the line is:

[tex]m = \frac{8-(-13)}{17-17}[/tex]

[tex]m = \frac{21}{0}[/tex]

The slope is undefined, which means that line is parallel to y-axis.

Factorize 5b2-11b+6=0​

Answers

Answer:

5b^2-(5+6)b+6=0

5b^2-5b-6b+6=0

5b(b-1)-6(b-1)=0

(5b-6)(b-1)=0

either

(5b-1)=0

5b=1

b=1/5

or

b-1=0

b=1

Step-by-step explanation:

firstly find out the mid term factor i e in above qn 11 should be break down so that its multiple should be coefficient of b and constant and additiqn should be equals to 11 .so we find out 5 and 6

2(5 – 9x) = -3(x - 2)

Answers

Answer:

[tex]x=\frac{4}{15}[/tex]

Step-by-step explanation:

1. Distributive Property

[tex]10-18x=-3x+6[/tex]

2. Solving for x

[tex]10-6=-3x+18x\\4=15x\\\frac{4}{15} =x[/tex]

Hope this helped! Please mark brainliest :)

I need help on this graphing question if anyone can, please help me

Answers

Answer/Step-by-step explanation:

Given:

f(x) = 2x + 2

Domain = {-5, -1, 2, 3}

To write the range of f using set notation, substitute each domain value into f(x) = 2x + 2 to get each corresponding range value that will make up the set.

Thus:

✔️f(-5) = 2(-5) + 2

= -10 + 2

f(-5) = -8

✔️f(-1) = 2(-1) + 2

= -2 + 2

f(-1) = 0

✔️f(2) = 2(2) + 2

= 4 + 2

f(-1) = 6

✔️f(3) = 2(3) + 2

= 6 + 2

f(3) = 8

Range of f using set notation = {-8, 0, 6, 8}

✔️Graph f by plotting the domain values on the x-axis against the corresponding range values on the y-axis as shown in the attachment below:

*See attachment for the graph of f

If someone can pls give the answer with steps that would be greatly appreciated :)

Answers

Answer:

Step-by-step explanation:

Let C be the number of correct answers

Let B be the number of questions not answered

Let W be the wrong answers

Total = 2*C + B -  W

It's a trinomial. There are three unrelated terms.

If 2x^2 + 3x + 3 = Kx - K has real roots, find the possible values of k.​

Answers

Answer:

Step-by-step explanation:

Dd

A pizza dough recipe calls for 6 1/2 cups of flour. The recipe makes 37 1/2 ounces of dough. How many ounces of dough does 1 cup of flour make?

Answers

Answer:

[tex]n = 5\frac{10}{13}[/tex]

Step-by-step explanation:

Given

[tex]Call = 6\frac{1}{2}[/tex] cups

[tex]Recipe = 37\frac{1}{2}[/tex] ounce

Required

Number of ounces per cup (n)

To do this, we simply divide the Recipe by the call

So, we have:

[tex]n = \frac{Recipe}{Call}[/tex]

[tex]n = 37\frac{1}{2} \div 6\frac{1}{2}[/tex]

Express as improper fraction

[tex]n = \frac{75}{2} \div \frac{13}{2}[/tex]

Rewrite as:

[tex]n = \frac{75}{2} * \frac{2}{13}[/tex]

[tex]n = \frac{75}{13}[/tex]

[tex]n = 5\frac{10}{13}[/tex]

All I need is number two

Answers

3/5 of a gallon or .06

Explanation:

To solve you need to divide the three gallons of paint by the 5 cans. This can be solved in two ways.

Way 1 (fraction)

This is the easiest way, you simply put the first number in the equation on top and the second on the bottom, then simplify if possible. When we do this we get 3/5 and it can’t be simplified so we leave it as the fraction three fifths of 3/5.


Way 2 (decimal)

This way you divide 3 by 5, you can use long division to do this but it takes a long time. The answer is 0.6.


I hope this helps. Please mark me the Brainliest, it’s not necessary but I put time and effort into every answer and I would appreciate it greatly. Have a great day, stay safe and stay healthy ! :)
3/5 if a gallon. Whay
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