What is the sum of the measures of angles 2 and 3? Explain your answer.

What Is The Sum Of The Measures Of Angles 2 And 3? Explain Your Answer.

Answers

Answer 1

Answer:

Sum of angles 2 and 3 will be equal to sum of angles 1 and 4.

As per the opposite angle theoreom: "When two lines cross, four angles are created and the opposite angles are equal" Here:

Angle 1 is opposite of angle 3Angle 2 is opposite of angle 4Angle 2+3 is opposite of angle 1+4

Related Questions

Graph y > 2x - 3 , Is (3 , -1) a possible solution to the inequality graphed above?

Answers

Answer:

No it cant

Step-by-step explanation:

(3,-1) is not a possible solution for the equation y > 2x-3

The points that touch the x and y intercept are (1.5,0) and (0,-3)

Richard and Teo have a combined age of 41. Richard is 11 years older than twice Teo's age. How old are Richard and Teo?
Richard is years old, and Teo is years old.
(Type whole numbers.)

Answers

Richard = R & Teo = T

Richard & Teo are combined 41 it means R + T = 41

R = 8 + 2T

R + T = 41 #1

R = 8 + 2T #2

replace 2 in 1

8 + 2T + T = 41

8 + 3T = 41

3T = 41 -8 = 33

T = 11

R = 8 + 2*11 = 30

result = richard is 30 & teo is 11 years old.

2 times of Teo is 22

and 8 years older it means + 8

= 30

A baseball player starts the season with 77 career home runs. Ten games into the
season, he has hit 2 home runs. Assume he continues at this pace. Write an
equation for the number of career home runs he has hit. How many career home
runs would you expect him to have at the end of the season (162 games)?

Answers

If there are a total of 162 games, and every then games the player hits 2 home runs, we can divide the total amount of games by 10 then multiply the quotient by 2.

162 / 10 is approximately 16.

16 × 2 = 32

32 + 77 = 109 career home runs

Using the slope intercept relation, the required equation and the number of home runs at season end would be ;

y = 0.2x + 77109

Recall :

y = bx + c

c = initial number of hime runs = 77b = slope y = total career home runs x = number of games played

Slope, b = 2 home runs per 10 games = 2/10 = 0.2

The expression can be represented thus:

y = 0.2x + 77

Number of home runs at the end of the season :

x = 162

y = 0.2(162) + 77

y = 32.4 + 77

y = 109.4

y = 109

Hence, Total number of hime runs would be 109.

Learn more : https://brainly.com/question/3565320

I need some help with (−3f−5f+9)−(−6f+2)

Answers

Answer:

the correct answer would be -2f+7

The lengths of the sides of a quadrilateral are 4 consecutive even integers.



The perimeter of the quadrilateral is 20 inches.



What is the length of the longest side?

Answers

Answer: 8 inches

Step-by-step explanation:

A quadrilateral is a shape with four sides. Since the lengths of the sides of the quadrilateral are 4 consecutive even integers, let them be represented by a, a+2, a+4 and a+6.

We then equate the side to the perimeter. This will be:

a + a+2 + a+4 + a+6 = 20

4a + 12 = 20

4a = 20 - 12

4a = 8

a = 8/4

a = 2 inches

The length of the longest side will be:

= a + 6

= 2 + 6

= 8 inches

Javier asks his mother how old a tree in their yard is. His mother says, "The sum of 10 and two-thirds of that tree's age, in years, is equal to 50." Javier writes the equation (10 + two-thirds) a = 50, where a is the tree's age in years. His equation is not correct. What error did he make?

Answers

Answer:

His error is adding 10 and 2/3 before multiplying by a(age of the tree)

Step-by-step explanation:

The sum of 10 and two-thirds of that tree's age, in years, is equal to 50.

Correct equation

Sum = addition (+)

two-thirds = 2/3

The tree's age = a

10 + 2/3a = 50

2/3a = 50 - 10

2/3a = 40

a = 40 ÷ 2/3

= 40 × 3/2

= 60

a = 60 years

Javier writes the equation

(10 + two-thirds) a = 50

(10 + 2/3)a = 50

(30+2/3)a = 50

32/3a = 50

a = 50 ÷ 32/3

= 50 × 3/32

= 150/32

a = 150/32

His error is adding 10 and 2/3 before multiplying by a(age of the tree)

Answer:

His error is adding 10 and 2/3 before multiplying by A...

…So option A is your answer.

Hope it helps!

What is the slope-intercept equation
for the following line?
y = -2x + [?]
What is the intercept?

Answers

Answer:

y = -1/2x - 3

Step-by-step explanation:

On your 16th birthday, you open a savings account with $1000. The account pays 4% compound interest. How much will be in the account on your 50th birthday (the beginning of the 35th year in the account)? i don't really understand compound interest that well

Answers

Answer:

Approximately $4946

Step-by-step explanation:

The compound interest can be determined by:

Compound interest = P [tex](1 + r)^{T}[/tex]

Where: P is the principal, r is the rate and T is the number of years.

Given that: P = $1000, r = 4% and T = 34 years, then;

Compound interest = 1000 [tex](1 + \frac{4}{100}) ^{34}[/tex]

                                = 1000 [tex](1 + 0.04)^{34}[/tex]

                                = 1000 [tex](1.04)^{34}[/tex]

                                = 1000 x 3.79431

                                = 3794.31

Compound interest ≅ $3794

The amount that would be in the account = Principal + interest

                                            = $1000 + $3794

                                            ≅ $4794

Below are two parallel line intersecting them

Answers

Answer:

x = 53°

Step-by-step explanation:

alternate exterior angles are equal

Answer:

Step-by-step explanation:

Two lines are parallel.

x = 53  

Alternate exterior angles are equal

While creating your résumé, what should you do before making a final copy to fix any typos or errors?

Answers

Answer:

you could ask a friend or someone you are close to, to proof read it. You could also but it through Grammarly to find all errors that someone could just overlook.

Solve for x:
(X+5)^1/2 = (5-2x)^1/4

Answers

Answer:

X = Negative 2 (-2)

help graphs are not my favorite​

Answers

Answer:

d

Step-by-step explanation:

What is the solution for the system of equation
Y=-2x+8 y=x-4

Answers

Answer:

(x , y) = (28/5 , 8/5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x , y) = ( 28/5 , 8/5 )

               

CAR TRAVEL One car travels about 28.5 miles on each gallon of gas. Suppose the average price of gas is $2 per gallon. About how much would the gas for a 978 mile trip cost? (p. 28)​

Answers

Hopefully I’m not wrong, it should be 978 divided by 28.5 which is 34.315. Then that times $2/2 should be your answer. Which is 68.631 aka $68.63.

If the area is 26.8 sq ft, what is the value of x?​

Answers

Answer:

area of rectangle =length multiplyed by breath

4x multiplied by x=26.8

4x²=26.8

x²=26.8 divided by 4

x²=6.7

x=2.59

Find the value of x and y

Answers

Answer:

(5x+4)=114(vertically opposite angle)

5x=114-4

x=110/5

x=22

(3x-24)+(2y)+144=180(sum of straight line angle)

(3X22-24)+(2y)=180-144

(66-24)+2y=36

42+2y=36

2y=36-42

y=(-6)/2

y=-3

angle 1 and angle 2 are supplementary. m angle1 = 3x - 4 and m angle2 = 8x - 14. Find the measure of each angle.

Answers

Answer:

50° and 130°

Step-by-step explanation:

Angle1 and angle2 are supplementary. So, sum of angle1 and angle2 is 180°

3x-4+8x-14=180°

11x-18=180°

11x=198°

x=18°

Angle1 = 3*18 -4 = 50°

Angle2 = 8*18 -14= 130°

In order to solve for the variable in the equation 1 minus (x + 2) + 2 x = 5 (2 x minus 5) minus x, Mikel first applies the distributive property. Which equation is a result of this step? 1 minus x + 2 + 2 x = 10 x minus 5 minus x 1 minus x minus 2 + 2 x = 10 x minus 25 minus x 1 minus x minus 1 + 2 x = 10 x minus 25 minus x 1 minus x minus 1 + 2 x = 10 x minus 5 minus x

Answers

Answer:

1-x-2+2x = 10x-25-x

Step-by-step explanation:

The given equation is as follows :

1-(x+2)+2x=5(2x-5)-x

We need to solve the above equation.

Firstly opening bracket off LHS and applying distributive property at RHS.

1-x-2+2x=5(2x)-5(5)-x    (Distributive property :a(b+c) = ab+ac)

1-x-2+2x = 10x-25-x

So, the correct option is (B) i.e. 1 minus x minus 2 + 2 x = 10 x minus 25 minus x.

Answer:

It's b

Step-by-step explanation:

I got it right on edge

If f(x) = x3 – 1 and g(x) = 2x - 1, which choice is equivalent to g(f(x))?
A)
x3 - 3
B)
2x3 - 3
)
2x3 - 2
D)
223 - 1

Answers

The equivalent function of g(f(x)) for the given function  is 2x³ - 3.

Function composition is an operation × that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g is applied to the result of applying the function f to x.

We have been given that

f(x) = x3 – 1

g(x) = 2x - 1

and find out g(f(x)) =?

The notation for function composition is h = f • g or h(x) = (f • g)(x) and is read as 'f of g of x'. The procedure is called composition because the new function is composed of the two given functions f and g, where one function is substituted into the other.

g(f(x)) = 2(f(x))- 1

Put the value of f(x) in the equation

g(f(x)) = 2( x³ - 1) -1

g(f(x)) = 2 x³ - 2 -1

g(f(x)) = 2 x³ - 3

Hence , For the given function, 2x3 - 3 serves as the corresponding function of g(f(x)).

To learn more about Composition function

https://brainly.com/question/10687170

#SPJ1

The area of a Rhombus is 60cm² and one of its diagonals is 15cm, then the length of other diagonal is

Answers

The area of a rhombus is give by 1/2 times the product of the diagonals. Therefore:

60cm2=12(d1⋅d2)

where d1 and d2 are the diagonals. Letting d1=15cm and solving for d2 gives d2=8cm.

The two diagonals bisect each other and are perpendicular to each other. Therefore the four triangles created by the diagonals in the rhombus are right triangles. Using the Pythagorean theorem on any of these triangles yields that the sides s of the rhombus are given by

(152 ) 2 + (82)2 = s 2

or s = 172cm.

The perimeter is therefore 4 X 172 = 34 cm.

Helps me solve this problem please

Answers

Answer:

6

Step-by-step explanation:

2x - 3x + 20 + 5x - 40 = 4       combine like terms

(2x - 3x + 5x) + (20 - 40) = 4

4x - 20 = 4      add 20 to both sides

4x = 24     divide both sides by 4

x = 6

Look a the picture please

Answers

Answer:

a. 6 1/2

Step-by-step explanation:

If each of the teacher's students needs 1/4lbs of clay and she has 26 students, all we have to do is divide 26 by 4. 26/4=6.5

6.5 as a fraction is 6 1/2. So, the answer is a.

Have an amazing day!! Good luck on your test C:

19. Suppose carpet costs $20 per square yard. How much will it cost to carpet
the floor shown below?
12 yards
8 yards
(a) $1,160
(b) $400
(c) $800
(d) $1,920 (e) none of these
Please show the work

Answers

20 x 12 = 240
20 x 8 = 160
240 + 160 = 400
answer is (B)

Answer:

$400

Step-by-step explanation:

12*20=240

8*20=160

240+160= 400

If angle B measure 135 degrees find measure of Angle Q
A.180
B.45
C.60
D.135

Answers

Answer:

D. 135

here are some extra words for fun (and to fill the necessary 20 characters)

Would definitely be “d. 135” , because those two angles are in the same spot if you look at it so they equal eachother , b=Q :)

170.04 in standard form is?

Answers

Answer:  0

Step-by-step explanation:

PLS HELP WITH THIS QUESTION

Answers

C would be the answer to this problem!

Answer:

I think C

Step-by-step explanation:

i just need some help on a few math questions. i'm very bad at math sorry :(

Answers

Answer:

Q1) D

Q2) A

Q3) A

Q4) I'm sorry I can't figure this one out

Q5)2.7

Step-by-step explanation:

Find the mistake made in the steps to solve the equation below

Answers

Answer:

C. Step 3 is incorrect and should be x=10/8

Answer:

c. step 3 is incorrect and should be x=10/8

what is the point slope form of a line that has a slope of 3 and passes through point (1,4)?

Answers

I think its: 4 = 3(1) + b

0.75x+4x-5 step by step

Answers

Answer:

4.75x-5

Step-by-step explanation:

Answer:

4.75x - 5

Step-by-step explanation:

Step 1: Combine Variables

0.75x + 4x = 4.75x

Simplified - 4.75x - 5

Other Questions
What are some reasons as to why communism hasn't been successful in history? Do you think Washingtons farewell address is still relevant today? what is a CER please help !!!!!!! PLEASE HELP ME! WILL GIVE BRAINLIEST TO FIRST PERSON TO ANSWER! Please do not give me the exact answer that the platform provides! Thanks!In one paragraph, summarize the important achievements and contributions of ancient Greek and Hellenistic civilizations. Achievements include things that improved society and life for the ancient people. Be sure to include specific examples in your summary. Complete each exchange using the negative expression ne... pas. Pay special attention to the form of thearticle following ne... pas.Please help?! If an object is dropped from a height of 39 feet, the function h(t)=-16t^2+39 gives the height of the object after t seconds. Graph the function A pitchers earned-run average E varies directly as the number R of earned runs allowed and inversely as the number of I innings pitched. A certain pitcher had an earned-run average of 2.92, giving up 85 earned runs in 262 innings. How many earned runs would the pitcher have given up having pitched 311 innings with the same average? Leo the Rabbit Leo the Rabbit is climbing up a flight of 10 steps. Leo can only hop up 1 or 2 steps each time he hops. He never hops down, only up. How many different ways can Leo hop up the flight of 10 steps? Provide evidence to justify your thinking.Can someone provide an answer and explain. Thanks explain the relationship between a strategy such as number sense and a written method such as partial products or area models for multiplying decimal numbers Timothy's mom, Carol, a single parentpicked him up from school for his annual examination at the doctor's office. Timothy is a little excitedbecause he is now 13 and last year his mom promised him that things will be a little different at the doctor.When Carol asked Timothy if he wanted her to go into the exam room with him, his response was, "No.Carol shared how proud she was of his academic performance and how he is growing up and agreed toallow him to see the doctor alone. Shortly after arrival at the doctor's office, the medical assistant escortedTimothy to the exam room to get his vitals and check him in. She showed interest in him by initiatingconversation with him using closed and open-ended questions. After completion of the initial check in, thedoctor completed the examination, asked Timothy some personal questions regarding his body andhealth, and allowed Timothy to ask questions. Timothy was a compliant patient.The doctor established rapport with Timothy to put him at ease and asked him a series of questions aboutsexually transmitted diseases and sex. Considering therapeutic interaction with adolescents, which statementbest describes the doctor's behavior?O The doctor's actions were correct because he respected Timothy's privacy and he could not assume thatCarol had discussed this topic with TimothyTimothy is in his first year of transition from child to adolescent and it is too soon for the doctor to discusssuch an adult topic with TimothyO The doctor should not have discussed this embarrassing topic with Timothy and should have instructed themedical assistant to give him some pamphlets at the end of the exam,The doctor did the right thing to scare Timothy so he won't become sexually HELP!!!!! what is the axis of symmetry for the graph of y-4x=7-x^2A.x=2B.y=2C.x=11D.y=11 Which graph shows four points that represent equivalent ratios? What state is the speaker in ? what word choices support your answer? in the poem Sonnet 29NEED HELP ASAP DUE TODAY AT 12! PLS HELP ALGEBRA WILL GIVE BRAINLIEST! plz help me with this i do not understand math stuff during a labaratory experiment a sample of aluminum is found to have a mass of 12.50 grams and a volume of 4.6 millititers what is the density of this samplw expressed to thw correct number of significant figures A racehorse coming out of the gate accelerates from rest to a velocity of 12.0m/s due west in 2.30 s. What is its average acceleration?27.6 m/s^25.22 m/s^2-5.22 m/s^2-27.6 m/s^2-0.19 m/s^2O 0.19 m/s^2 How are lines KL and MN related?O The lines intersect at point K.O The lines are parallel.O The lines are perpendicular.O The lines do not have slopes, what is a monologue for the story The Medicine Bag? PLZ HURRY IT'S URGENT!!What is the y-intercept of the line?y=2/3x+4options:012/34