Mathematics High School

Analyzing Angle Pair Relationships Parallel lines p and q are cut by transversal r. On line p where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 1, 2, 4, 3. On line q where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 5, 6, 8, 7. m∠3 is (3x + 4)° and m∠5 is (2x + 11)°. Angles 3 and 5 are . The equation can be used to solve for x. m∠5 = °

Answers

Answer 1

Given:

Parallel lines p and q are cut by transversal r.

m∠3=(3x + 4)° and m∠5=(2x + 11)°.

To find:

The relation between ∠3 and ∠5, then find the measure of angle 5.

Solution:

Parallel lines p and q are cut by transversal r as shown in the below figure.

From the figure it is clear that ∠3 and ∠5 are alternate interior angle. So, the values of these angles are equal.

[tex]m\angle 3=m\angle 5[/tex]

[tex](3x+4)^\circ=(2x+11)^\circ[/tex]

[tex]3x+4=2x+11[/tex]

Therefore, the required equation to solve for x is [tex]3x+4=2x+11[/tex].

Isolate variable terms.

[tex]3x-2x=11-4[/tex]

[tex]x=7[/tex]

The value of x is 7.

Now,

[tex]\angle 5=(2x+11)^\circ[/tex]

[tex]\angle 5=(2(7)+11)^\circ[/tex]

[tex]\angle 5=(14+11)^\circ[/tex]

[tex]\angle 5=25^\circ[/tex]

Therefore, the measure of angle 5 is 25°.

Analyzing Angle Pair Relationships Parallel Lines P And Q Are Cut By Transversal R. On Line P Where It

Related Questions

Which inequality represents this situation?
Players must practice at least 45 minutes a day.

t 45
t ≥ 45

Answers

Answer:

t≥45

Step-by-step explanation:

If it says at least, it means fine must be greater than or equal to 45.

Helpp!!!!! What is the solution to the system of equations graphed below?

Answers

It’s A when the lines cross they make 4 across and one down but when with the numbers -5,1 hope it helped

If neither a nor bare equal to zero, which answer most accurately describes the product of (a + b)(a - b)?

Answers

Answer:

a² - b²

Step-by-step explanation:

We can recognize (a + b)(a - b) as a difference of squares.

Step 1: Write expression

(a + b)(a - b)

Step 2: FOIL (Expand)

a² - ab + ab - b²

Step 3: Combine like terms

a² - b²

complete the square for x^2+5x

Answers

Answer:

(x + [tex]\frac{5}{2}[/tex] )² - [tex]\frac{25}{4}[/tex]

Step-by-step explanation:

Given

x² + 5x

To complete the square

add/ subtract ( half the coefficient of the x- term )² to x² + 5x

= x² + 2([tex]\frac{5}{2}[/tex] )x + [tex]\frac{25}{4}[/tex] - [tex]\frac{25}{4}[/tex]

= (x + [tex]\frac{5}{2}[/tex] )² - [tex]\frac{25}{4}[/tex]

A frozen yogurt shop offers a rewards system for frequent customers. The graph below represents how much a rewards customer pays based on the number of ounces of frozen yogurt purchased.

A graph titled Customer Rewards. The horizontal axis shows ounces of yogurt purchased, numbered 2 to 22, and the vertical axis shows Total Spent (dollars) numbered 1 to 11. A line begins at 0, extends to 5 dollars spent at 10 to 12 ounces, and ends at 9 dollars spent at 20 ounces.

Which statement describes the total amount a rewards customer pays for 10 ounces and 12 ounces of yogurt?

A rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.
A rewards customer pays $5 per ounce because the total amount paid is always increasing.
A rewards customer pays $20 for 10 or 12 ounces of yogurt because the total amount paid is increasing.
A rewards customer earns 5 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.

Answers

a rewards customer earns 2 free ounces of yogurt because the goal amount paid for 10 ounces will increase.

Answer:

A rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.

did the test on edge

David is making mixed candy bags for trick-or-treaters. He has 45 gummy bears and 18 jelly beans left. He wants to put the same number of both types of candy into every bag. What is the largest number of candy bags he can make? ​

Answers

I think it is 9 if not I’m sorry

A train travels 170 miles in 4 hours . How far will the train travel in 6 hours , if it travels at the same speed ? Answer Choices : (A) 240 mi , (B) 245 mi , (C ) 252 mi , (D) 255 .

Answers

Answer:

(170/4)x61= 255

Step-by-step explanation:

How do you put 3x-3-(x-2) in Algebra Tiles on an Algebra Tiles mat.​

Answers

I’m actually not sure but what are algebra tiles?

Find the total cost to the nearest cent.
$16 haircut; 15% tip

Answers

$18.40 with the tip added to the price because the tip will be $2.40

Find the slope of the line that passes though (9,8) and (7,5)

Answers

Answer:

I think its m=3/2

Step-by-step explanation:

If it right can I please have brainliest :)

Answer:

here is how to figure this out

Step-by-step explanation:

point 1 = (9,8)  =  (x1,y1)

point 2 =(7,5)  = (x2,y2)

slope= y2-y1 / x2-x1

slope = 5-8 / 7-9

slope = -3 / -2

slope = 3/2  :)

Marco jogs 40.6 miles per week. He jogs every day. How many miles does Marco jog per day?

Answers

Answer:

5.8 miles per day.

Step-by-step explanation:

40.6÷7=5.8

Can I please have BRAINLIEST?

Answer:

Marco will jog 5.8 miles per day.

Step-by-step explanation:

40.6/7= 5.8 miles/day

can someone please help me?

Answers

Answer:

44 degrees

Step-by-step explanation:

Triangles ABC and DBC are congruent (as said in the question), that would make the corresponding parts of the two triangles congruent.

Answer:

Angle D = 44° (degrees)

Step-by-step explanation:

given that ∆ABC is congruent to ∆DBC, AB = 10, and Angle A = 44°. Angle D must be 44° as well since you can tell that angle abc is 88° and is not a right angle, and due to the corresponding parts. You can also think about these triangle as angles since angle abc = angle dbc. The other angles can be calculated using the triangle sum theorem since both triangles share side bc so angle acb and dcb are right angles(90°)

therefore 180-(44+90) = 46° which the measure of angles abc and dcb.

This measure would only make it true because of triangle congruency.

Plz answer this for 10 points

Answers

domain refers to the X values so option A would be correct :)

Which expression is equivalent to
1/2(2n + 6)
A- 1/2 + 2n + 6
B- 2 1/2n + 6 1/2
C- n + 6
D- n +3

Answers

Answer:

D

Step-by-step explanation:

=(1/2)*2n+(1/2)*6

=n+3

Answer:

D

Step-by-step explanation:

=(1/2)*2n+(1/2)*6

=n+3

does anyone know? take ur time and its ok if u dont

Answers

Answer:

Your answer is: A) x 5/6

Step-by-step explanation:

Hope this helped : )

Answer:

its the first one

Step-by-step explanation:

help asap i need this todayy

Answers

y = 2/3 , hope this helps !

This is IXL plz help !!

Answers

Answer:

A = 3.14

Step-by-step explanation:

Your equation is πR²

so 3.14(1²)

Which gives you 3.14

Answer:

A=3.14 square meters

Step-by-step explanation:

Use the equation A=3.14*r^2.

Sub in the numbers you know so 1.

A=3.14*1^2

Simplify.

A=3.14 square meters

I need your help please.

Answers

Answer:

1. y-int=5, concave up, a greater than 0

2. y-int=-3, concave down, a less than 0

3. y-int=0, concave up

Step-by-step explanation:

between which two consecutive whole numbers does the root of 15 lie ​

Answers

It lies between the numbers 3 & 4 because the true answer of [tex]\sqrt{15\\[/tex] is 3.87

Solve h+p=7(k -4) for k.

Answers

Answer:

k= h/7 + p/7 +4

kelly is training for one marathon in week one she runs 7 miles in week two she runs 10 miles in week 3 she runs 13 miles given that she keeps the same pattern find the total distance kelly has run after practicing for 7 weeks

Answers

Answer:

25 miles on week 7

Step-by-step explanation:

A 22-ounce bowl of crackers contains 18 percent cheese crackers. Aida computed 18 percent of 22. Her work is shown below.


18 percent of 22 1.8 times 22 = 39.6


Which statement explains Aida’s error?

Aida did not use 0.18 for 18 percent.

Aida did not multiply 1.8 and 22 correctly.

Aida did not use 0.018 for 18 percent.

Aida did not move the decimal point three places to the left in the answer.

Answers

Answer:

Answer is A.

Step-by-step explanation:

Hope it helps.

Answer:

a

Step-by-step explanation:

EDGE 2020

Somebody please help me

Answers

Answer:

3

Step-by-step explanation:

It would be multiplied by 4 to get 12

Hope this helps

why is 2 times 3/4 less then 2

Answers

since 3/4 is less than one. if the number is less than one, it will always result in a smaller number. And anything multiplied to one is the other number.

EX: 1*3=3

3/4*3= 9/4= 2 1/4= 2.25

Ingrid's curtain company is making curtains for a local hotel. She wants each curtain to be 36 inches long. At the fabric store, fabric is sold by the foot. If Ingrid's curtain company wants to make 64 curtains, how many feet of fabric will she need? 1 inch = 1 12 foot I just don't get it

Answers

Answer:

192 ft

Step-by-step explanation:

Number of curtains = 64

Length of each curtains = 36 inches

Total length of curtains = Number of curtains × Length of each curtains

= 64 × 36 inches

= 2,304 inches

1 inch = 1/12 foot

2,304 inches = 2,304 / 12 ft

2,304 inches = 192 ft

She will need 192 ft of the fabric to make 64 curtains each of length 36 inches

Your house is located at point T. Your grandma's house is located at point V. U is the midpoint of segment TV. How far do you need to travel to drive home from your grandma's house?

Answers

6:11111111 dudududhdhdud r

peter, henry and john shared $345 between them. Peter received $45, henry received $75 and john received the rest.
a) find the ratio of peters share to henrys share to johns share

Answers

Answer:

Step-by-step explanation:

Let J = John's share ($)

     P = Peter's share ($)

     H = Henry's share ($)

 

1) H = P + 80

 

2) J/P = 6/3 = 2

 

3) P/H = 3/5  

 

Substitute equation 1) into equation 3)

 

P/(P + 80) = 3/5            (multiply both sides by (P + 80)

 

P = (3/5)*(P + 80)         (multiply both sides by 5)

 

5*P = 3*P + 240

 

2*P = 240

 

P = 240/2 = $120

 

Substitute P value into equation 2)

 

J/P = 2  or

 

J = 2*P = 2*$120 = $240

 

John received $240

 

 

if f(x)=3^x+10x and g(x)=5x-3, find (f-g)(x)

Answers

8x+3, I don’t have anything to equal it too so that is as simple as it can get.

what is 4 to the power of 4​

Answers

Answer:

256

Step-by-step explanation:

Answer:

256

Step-by-step explanation:

4 to 4th power=

4^4 or 4x4x4x4=

4x4= 16

4x4x4= 64

4x4x4x4= 256    <===== Answer

Guys someone please help with this if you're good at math

Answers

Your answer would be
y = -1/5x + 6
Other Questions
What is the main idea of this passage? On the other hand, a savings account is used to set money aside for use in the future, and it allows the money to collect interest. Many people regularly place some of their money into savings accounts rather than spending it in order to achieve financial goalssuch as buying the latest gadget or gamewithout having to go into debt to do it. -From "Learning Bank - Checking & Savings Accounts" by FDIC.gov Group of answer choices a. Savings accounts can be used to put money aside and earn more money. b. Many people would rather put their money aside than spend it right away. c. Savings accounts are often used to buy gadgets or objects people most desire. d. Savings accounts help people to avoid debt when they want to buy a game. if there are 8 boys and 48 girls in a room, fill out all of the possible ratios of boys to girls that could be made. i already have 1 boy for every 6 girls Which of the following was an advantage of the nomadic hunter-gatherer lifestyle? ints) During 2018, Falwell Inc. had 500,000 shares of common stock and 50,000 shares of 6% cumulative preferred stock outstanding. The preferred stock has a par value of $100 per share. Falwell did not declare or pay any dividends during 2018.Falwell's net income for the year ended December 31, 2018, was $2.5 million. The income tax rate is 40%. Falwell granted 10,000 stock options to its executives on January 1 of this year. Each option gives its holder the right to buy 20 shares of common stock at an exercise price of $29 per share. The options vest after one year. The market price of the common stock averaged $30 per share during 2018.What is Falwell's basic earnings per share for 2018, rounded to the nearest c Convert 8/25 to a percent A line graph usually reveals a relationship between which factors Martha has been running a small business for two years. She now seeks additional investment to finance her business. She has found potential investors who want to check how much Martha's business owns and owes others. Which financial statement should Martha provide to her investors? A. cash flow statement B. balance sheet C. trial balance D. journal How many hours are in 17 years? Write your answer in scientific notations with 3 sig figs.Sig figs are: are the number of digits in a value, often a measurement, that contributes to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit. Calculate the number of significant figures for an assortment of numbers. Please help it's urgent! Solve for r: S = 4pier^2 Why don't molecular compounds conduct electricity when dissolved in water? Use the drop-down menus to complete the steps for using the Scenario command.1. Select the cells you want to use in your scenario.2. Go to the ____ tab.Data HomeInsert Formulas3. In the Forecast group, select _____ and click Scenario Manager.Sort Get DataForecast Sheet What-If Analysis 4. Click Add and fill in the name and add comments if you wish.5. To compare, you will want to create _____ version.A what-If A original A Data Table 6. Add a second scenario, changing the values from the first.7. Click _____ to view the values in each scenario.OKShow Review Should women wear a bikini or nothing Which shows the correct steps in the formation of an ionic bond between these atoms?A magnesium atom accepts six electrons from the fluorine atoms Each fluorine atom donates three of the electrons The magnesium atom becomes a -2 ion Each fluorine atom becomes a +1 ionA magnesium atom donates two electrons to the fluorine atoms Each fluorine atom accepts one of the electrons The magnesium atom becomes a -2 ion Each fluorine atom becomes a +1 ionA magnesium atom accepts two electrons from the fluorine atoms Each fluorine atom donates one of the electrons The magnesium atom becomes a -2 ion Each fluorine atom becomes a +1 ionA magnesium atom donates two electrons to the fluorine atoms Each fluorine atom accepts one of the electrons The magnesium atom becomes a +2 ion Each fluorine atom becomes a -1 ion You come across a mysterious substance that has a mass of 1.8225 x 10 to the power of 2gand a volume of 0.025 L (1L = 1000 mL). Using the density formula what is the density Hey guys! quick question about writing!!! J.K Just wanted to say your amazing and beautiful or handsome just the way you are. People are mean because they're jealous of you and your talent. Dont let anyone change who you are. When I solve (1 + 5n^4 + n^2) + (8n^4 - 4 - n^2), is the answer -3 + 13n^4 + n^2 or just -3 + 13n^4 In a group discussion, the restates and clarifies others ideas. Who was a Buddhist monk who took a 17 year journey to holy sites to learn more about Buddhism? aMahayana bGenghis Khan cMarco Polo dXuanzang 7. The Congress created by the Articles did not have the power to collect taxes.(7.5 Points)TrueFalse The ancient slab that contained three types of writing, including hieroglyphics, is called what?