In the sketch below, two parallel lines are cut by a transversal.

In The Sketch Below, Two Parallel Lines Are Cut By A Transversal.

Answers

Answer 1

Answer:

m<1 = 150°

Step-by-step explanation:

Given:

m<1 = (4x + 50)°

m<2 = (7x - 25)°

Required:

m<1

Solution:

To find m<1, we need to create an equation that will enable us determine the value of x.

Thus,

4x + 50 = 7x - 25 => corresponding angles are congruent to each other

4x + 50 - 7x = 7x - 25 - 7x (subtraction property of equality)

-3x + 50 = - 25

-3x + 50 - 50 = -25 - 50 (substraction property of equality)

-3x = -75

-3x/-3 = -75/-3 (division property of equality)

x = 25

✅m<1 = (4x + 50)°

Plug in the value of x

m<1 = 4*25 + 50 = 100 + 50

m<1 = 150°


Related Questions

What is the surface area of the triangular prism?
A)
175 cm
B)
196 cm?
C)
216 cm?
D)
222 cm?

Answers

Answer:

222 cm²

Step-by-step explanation:

Each triangle's area is 6 cm², each side rectangle's area is 75 cm², and the bottom rectangle's area is 60 cm². Since there are two triangles, two side rectangle's, and one bottom rectangle, you would add all of their areas together:

6 + 6 + 75 + 75 + 60 leads you to the answer of 222 cm².

Solve each equation please?

6) 3x - 5 = 10

7) 36 = 4x + 12

8) 3(x + 2) = 36

9) 7(2x - 15) = 63

Answers

Answer:

6) x=5

7)x=6

8)x=10

9)x=12

Step-by-step explanation:

6) 3x-5=10. 7) 36=4x+12. 8) 3(x+2)=36

+5 +5. - 12. - 12. 3x + 6=36

3x = 15. 24 = 4x. - 6. -6

÷3. ÷3. ÷4. ÷4. 3x=30

x=5. 6 = x. x = 10

9) 7(2x-15)=63

14x - 105=63

+105. +105

14x = 168

÷14. ÷14

x=12

The formula for the circumference, C, of a circle with given radius, r, is C = 2πr. meters? what is the circumference of a circle with a radius of 3 1/2 meters? (use 22 as an estimate for it.)
A. 7 meters
B. 11 meters
C. 22 meters
D. 44 meters​

Answers

Answer:

22

actual answer was 21.99

Please answer correctly I am offering brainalist + 10 points for correct answer (:

Answers

The answer is B - vertical angles

Answer:

B. Vertical Angles

from a class of 12 students, 4 will be chosen to do a job. how many different groups could be chosen?​

Answers

Answer:

3

Step-by-step explanation:

12 / 4 = 3

ill give you brainliest

Answers

Answer:

376.8 ft²

Step-by-step explanation:

that is the correct answer for you friend

Which expression is equivalent to 7(2c)?

Answers

Answer:

14c, 7c+7c, 2c+2c+2c+2c+2c+2c+2c, 7c x 2, 2c x 7

Step-by-step explanation:

Imagine that we know the following information for populations living in cities and rural areas. In big cities, average commutes are 40 minutes with a standard deviation of 15 minutes. In rural areas, the average commute is 25 minutes with a standard deviation of 6 minutes. Who has a longer commute, Mary from the city who travels for 35 minutes or Jean from the country who travels 30 minutes? a. Jean, because her commute is in the country. b. Mary, because city traffic moves slowly c. Mary's commute is 5 minutes longer d. Jean, because she travels 30 minutes on slow country roads

Answers

Answer:

a. Jean, because her commute is in the country.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Whoever has the higher z-score will have the longer commute.

Mary:

Travels for 35 minutes. In big cities, average commutes are 40 minutes with a standard deviation of 15 minutes. This means that [tex]X = 35, \mu = 40, \sigma = 15[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{35 - 40}{15}[/tex]

[tex]Z = -0.33[/tex]

Jean:

Travels for 30 minutes. In rural areas, the average commute is 25 minutes with a standard deviation of 6 minutes. This means that [tex]X = 30, \mu = 25, \sigma = 6[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{30 - 25}{6}[/tex]

[tex]Z = 0.83[/tex]

Due to being in the Country, Jean's z-score is higher, so her commute is longer. The correct answer is given by option A.

The true statement is (a) Jean, because her commute is in the country.

For Mary, we have the following parameter:

x = 35 minutes from  the city

For Jean, we have the following parameter:

x = 30 minutes from  the county

The z-score is calculated as:

[tex]z = \frac{x - \bar x}{\sigma}[/tex]

For the city, we have:

[tex]\bar x = 40[/tex]

[tex]\sigma = 15[/tex]

So, the z-score of Mary is:

[tex]z = \frac{35 - 40}{15} = -0.33[/tex]

For the country, we have:

[tex]\bar x = 25[/tex]

[tex]\sigma = 6[/tex]

So, the z-score of Jean is:

[tex]z = \frac{30 - 25}{6} = 0.83[/tex]

0.83 is greater than -0.33

Hence, Jean has a longer commute

Read more about normal distribution at:

https://brainly.com/question/25638875

Sam is using the expression x4y What is the value of the expression when x/4y = 10 and y = 1/2 ?

Answers

The most important thing is the fact that you can get a chance to share

is the marked equation right?
i cola in for me please

Answers

Answer:

Yes, because it crosses through (-2) at a rate of 1/3

plz need answers by today

Answers

Answer:

the 2

Step-by-step explanation:

The trinomial 2x2 + 13x + 6 has a linear factor of x + 6.
2x2 + 13x + 6 = (x + 6)(?)
What is the other linear factor?

A. x + 3
B. x + 6
C. 2x + 1
D. 2x + 3

Answers

Answer:

C (2x+1)

Step-by-step explanation:

I hope this helps!

Make sure to write No Solution exactly how it looks: No Solution
1. √x+2 = 5
answer: x =

Answers

Answer:

x=9

Step-by-step explanation:

Subtract 2 from both sides:

[tex]\sqrt{x} =3[/tex]

square both sides, so:

x=3^2 = 9

the price of milk is increased by 8%.if the original price is R10,84, what is the new price?​

Answers

Answer:

11.71

Step-by-step explanation:

Estimate 45.8 / 4.1 = ? (Must show work)

Answers

Your answer will be about 11.

A candy store in the mall orders 1000 boxes a month each box of candy weighs 45.9 grams . What is the total weight in grams of the candy in the store

Answers

Answer:

45900 grams

Step-by-step explanation:

All you need to do is multiply 45.9 grams by 1000 for the total combined weight of every box combined to get.

45.9 x 1000 = 45900

NO LINKS PLEASE and make sure its correct

Answers

Answer:

x= -7

Step-by-step explanation:

Answer:

LCM=4

4x3 /4 x 3/4 (x+21)=101/2x4

multiply through by the lcm

3x=20-21

3x/3=-1/3

the answer is-1/3

hope it helps

What is the value of a?

Answers

since the quadrilateral is covex, the sum of four exterior angles is 360 degrees

127 + 71 + 102 = 300

360 - 300 = 60

the answer is 60 degrees

Write a question that represents the following equation. 5 · n = 35. plssss help hurry

Answers

Answer:

what is the value of {n}to get product 35?

Step-by-step explanation:

(n is seven by the way!!)

Answer:

James is buying lemons for his grandmother, if 5 lemons cost $35, then how much does 1 cost? (n=7 if you are solving)

Step-by-step explanation:

Which is the solution to the inequality? 2 3/5 <b - 8/15



A. b<2 1/15
B. b>2 1/15
C. b<3 2/15
D. b>3 2/15



PLS NO CHEATING. I RLY NEED THIS. IF U DONT CHEAT I WILL MARK BRAINLIEST​

Answers

Step-by-step explanation:

i think it's a b and answer my new question it's 100 point question I really need the answer pls help me

Pls help me I’ll give extra point ASAP plz

Answers

Answer:

B

Step-by-step explanation:

The slope of the line GH is -3/2, so move point H to (1,-3), and move up 3 and left 3 to get translated point G.

:
B. (0,-1)
Hope you pass!!

What is the product of 2 and 3/6 write another expression that is equal to the product of 2 3/6

Answers

Answer:

The product of 2 and 3/6 is 1

Another expression equal to 2 x 3/6 is 4 x 1/4

Step-by-step explanation:

To find the product of 2 and 3/6, you should first simply 3/6. Find the GCM of 3 and 6. The GCM should be 3, so you divide each side by 3. Then you multiply 1/2 and 2 which is 1. To find another product of 2 x 3/6, you could just another fraction for 1/2.

Hope this helps

The another expression that is equal to the product of 2 & 3/6 is : 3 x 9/27.

What is function?

A function is a relation between a dependent and independent variable.

Mathematically, we can write → y = f(x) = ax + b.

Given is the the product of 2 and 3/6.

We can write -

2 x 3/6 = 1

We can write another expression that is equal to the product of 2 & 3/6 as -

3 x 9/27

Therefore, the another expression that is equal to the product of 2 & 3/6 is : 3 x 9/27.

To solve more questions on equation modelling, visit the link-

brainly.com/question/29014197

#SPJ2

Sheena has a $4,000 balance on her credit card statement. This month, she can afford to pay $2,000 of her balance. When should she make her payment (earlier or later in her billing cycle) in order to keep her finance charge low?

Answers

Answer:

This does not matter

Step-by-step explanation:

This does not matter and does not affect her finance charge. What does affect this charge is whether or not she pays what is owed on time. Meaning that she must pay everything that she owes between the end of the billing cycle and the day that the payment is due. In this scenario, it seems that she can only afford to pay half of what she actually owes, therefore regardless of when she pays this amount her finance charge will increase until she pays the entire debt.

help me plz branniest to whoever is right

Answers

Answer:

-3,8

Step-by-step explanation:

Answer:

x=9 and x=-1

Step-by-step explanation:

Using the factoring method, find the zeroes.

a circle has an area of 64pi square inches which best represents the circumference of the circle A 16 inches B 32 inches C 50-inch D 25 inches ​

Answers

Answer:

16π

Step-by-step explanation:

Area= 64π

or, πr²= 64π

or, r²= 64

r= 8

circumference= 2πr= 2×π×8 = 16π

A house that you are interested in has the following facts listed online: Price = $214,000 APR = 1.15% Down Payment must be 9.5% Loan time frame is 35 years What is the amount of the loan you must take out? What monthly price do you have to pay on this house? What is the total price of this house (including interest and the down payment)?

Answers

9514 1404 393

Answer:

$20,330 down$193,670 loan$560.35 monthly$255,677 total price

Step-by-step explanation:

a) The down payment is 9.5% of the price, so is ...

  down = 0.095×$214,000 = $20,330

__

b) The amount of the loan is the remaining value after the down payment is made:

  $214,000 -20,330 = $193,670

__

c) The monthly payment is given by the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

payment on Principal P at interest rate r for t years

  A = $193,670(0.0115/12)/(1 -(1 +0.0115/12)^(-12·35)) ≈ $560.35

__

d) The total cost of the house is ...

  down + (monthly payment)×(number of months)

  = $20,330 + $560.35×420

  = $255,677

Fred loves watermelon and buys 6 of them at the grocery store. If he gives friends 1 1/2 of a watermelon each, how many friends will get watermelon?

Answers

Answer:

4 friends will get watermelon

Step-by-step explanation:

1. 1 1/2 + 1 1/2 = 3

2. 1 1/2 + 1 1/2= 3

3. 3+3=6

4. Now count how many times we added 1 1/2.

5. If you counted correctly, you should've gotten 4.

g ÷ 7 = 11 pleasse help

Answers

Answer:

the answer is 77

Step-by-step explanation:

g/7=11

to find g you do inverse operations

7x11=77

have a great day :D

Answer:

77

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

what is the equation of the graph line when written in standard form

Answers

Answer:

y=2x-4

Step-by-step explanation:

The population in City A is 3 1/2 times the population of City B. The population of City B is 1,800,000. What is the population of City​ A?

Answers

Answer:

The population of city A is 6,300,000.

Step-by-step explanation:

1,800,000 × 3[tex]\frac{1}{2}[/tex]

3[tex]\frac{1}{2}[/tex] is equal to 3.5

Plug in 1,800,000 × 3.5 into your calculator

= 6,300,000

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