in this picture lines AB and CD are parallel. Find the measures of the following angles. Explain your reasoning.

In This Picture Lines AB And CD Are Parallel. Find The Measures Of The Following Angles. Explain Your

Answers

Answer 1

Answer/Step-by-step explanation:

1. <ABC and <BCD are alternate interior angles. Alternate interior angles are equal, therefore, since m<ABC = 38°, then m<BCD = 38°

2. m<ECF = m<BCD (corresponding angles)

m<ECF = 38° (substitution)

3. m<DCF + m<ECF = 180° (linear pair)

m<DCF + 38° = 180° (substitution)

m<DCF = 180° - 38° (Subtraction property of equality)

m<DCF = 142°

Answer 2

The measure of the following angles are as follows;

∠BCD = 38°

∠ECF = 38°

∠DCF = 142°

Angles form when a transversal cut parallel lines

When a transversal line cut across parallel lines, the angles form include corresponding angles, alternate angles etc.

Therefore,

∠BCD = 38 degrees(alternate angles)

∠ECF = 38 degrees(corresponding angles)

∠DCF = 180 - 38 = 142 degrees(angles on a straight line)

learn more on angles here: https://brainly.com/question/18346402

#SPJ2


Related Questions

How many cupcakes can I make with 16 cups of batter if I pour 2/3 Cup of batter into each cake?

Answers

Answer:

Step-by-step explanation:

16×2/3

32/3

104

549 divided by 61. Dont round the answer

Answers

Answer:

9

Step-by-step explanation:

Answer: The Answer is 9 i'm really sure this is the answer

4х – 8y = 2
6x - 12y = 3

Answers

Answer:

1. Slope=  

2.000

1.000

​  

=0.500

x−intercept=  

2

1

​  

=0.50000

y−intercept=  

−4

1

​  

=−0.25000

2. Slope=  

2.000

1.000

​  

=0.500

x−intercept=  

2

1

​  

=0.50000

y−intercept=  

−4

1

​  

=−0.25000

Hope this helps!

if KM = 32 units, KL = 3x+6 and LM= 11 units, what is the value of x?

Answers

Answer:

x = 5

Step-by-step explanation:

|<------------------- 32 units ---------------->|

K-----------------------L-------------------------M

           3x + 6                    11

KL + LM = KM

3x + 6 + 11 = 32

3x = 32 - 11 - 6

x = 15 / 3

x = 5 units

Traeq pays 35.34 for 3.1 pounds of salmon. What is the price per pound of salmon

Answers

$11.40 because you just divide 35.34 by 3.1

ANSWER BRIEFLY AND FAST FOR GUARANTEED BRAINLY AND POINTS!

• commutative property
• addition property of equality
• 2x=8
• distributive property
• division property of equality
• x=4
• multiplication property of equality
• subtraction property of equality

Answers

Answer:

See below

Step-by-step explanation:

[tex]2(x+5)-3 =15[/tex]

Using the distributive property in the LHS we get

[tex]2x+10-3 =15[/tex]

[tex]2x+7=15[/tex]

Now add -7 both sides. So we have the subtraction property of equality.

[tex]2x+7+(-7)=15+(-7) \text{ This is what I meant for add}[/tex]  

[tex]2x+7-7=15-7[/tex]

[tex]2x=8[/tex]

Now divide both sides by 2. So we have the division property of equality

[tex]\dfrac{2x}{2} =\dfrac{8}{2}[/tex]

[tex]x=4[/tex]

The mean and standard deviation for number of battery crimes in the U.S. from 1985 to 2000 are X = 326,845 and sx = 27,569. The mean and standard deviation for number of property crimes in the U.S. for the same time period are y = 634,235 and Sy = 42,268. The correlation coefficient is r = 0.92. Find the equation for the least- squares regression line for number of property crimes compared with number of battery crimes.
A: y = 1.41 + 173,214.37x
B: y = 173,214.37 + 1.41x
C: y = 421,052.69 + 0.65x
D: y = 0.65 + 421,052.69x
E: Unable to determine the equation​

Answers

Answer:

The correct answer is: A

Step-by-step explanation:

The value of the slope and intercept is:

=0.92(42268/27569)

=1.410518

a=y-bx

=634235-1.410518×326845

=173214.3716

The eququation for the least-square regression line is:

y=173214.3716 + 1.4105518x

Round to the 2 decimal place:

=173,214.37 +1.41x

The equation for the least squares regression line for number of property crimes compared with number of battery crimes is (b) y = 141x + 173214.37

How to determine the least square regression equation?

The given parameters are:

Mean x, μ = 326,845 Standard deviation of x, σ = 27,569Mean y, μ = 634,235 Standard deviation of y, σ = 42,268Correlation coefficient, r = 0.92

Calculate the slope (m) using:

m = r * Sy/Sx

This gives

m = 0.92 * 42268/27569

Evaluate

m =1.41051761036

Approximate

m = 1.41

The y-intercept (c) is calculated using:

c = μy -m * μx

So, we have:

c = 634235 - 1.41051761036 * 326845

Evaluate

c = 173214.371642

Approximate

c =173214.37

The least-square regression line equation is represented as:

y = mx + c

So, we have:

y = 141x + 173214.37

Hence, the equation for the least squares regression line for number of property crimes compared with number of battery crimes is (b) y = 141x + 173214.37

Read more about least squares regression at:

https://brainly.com/question/14563186

#SPJ2

The sports store made $564 from selling pool rafts this week (Monday-Friday). Of that amount, it made $132.56 on Monday and $107.38 on Tuesday. IT made an equal amount of money on Wednesday, Thursday, and Friday. How much money did the store make from selling pool rafts on Friday?

Answers

Answer:

Amount made from selling pool rafts on Friday is equal to $108.02

Step-by-step explanation:

Total amount made from selling pool rafts = $564

Amount made from selling pool rafts on Monday = $132.56

Amount made from selling pool rafts on Tuesday = $107.38

Let amount made on each of the days - Wednesday, Thursday, and Friday be equal to $x.

Therefore,

[tex]132.56+107.38+x+x+x=564\\239.94+3x=564\\3x=564-239.94\\3x=324.06\\x=\frac{324.06}{3}\\ x=$108.02[/tex]

So,

amount made from selling pool rafts on Friday is equal to $108.02

Macy drove her car to visit her uncle. She came part of the way home after her visit. This graph shows the distance Macy was from her home during the course of the day. During which part of the graph is Macy visiting her uncle?

Answers

Answer:

part 11

Step-by-step explanation:

B

Step-by-step explanation:

hope that help!

-6x+15=33 what is the first best step in solving for x?

Answers

Do 33-15 then divide by -6 and you should get your answer

Answer:

x= -3

Step-by-step explanation:

1) subtract 15 on both sides

should look like: -6x=18

2) divide the -6 on both sides

3) 18 divided by -6 is -3

Write an equivalent fraction with the given denominator. 9/19=?/57

Answers

Answer:

27

Step-by-step explanation:

Divide the denominators first. 57/19 = 3

That means to get the denominator you had to multiply 3 to 19. What you do to the bottom must be done at the top.

9*3 = ?

27

how many solutions does the equation 8x+16=8x-16 have?

Answers

Answer:

8*x+16-(8*x-16)=0

Step-by-step explanation:

Solve :    32   =  0

This equation has no solution.

A. a non-zero constant never equals zero.

Hope this helps! Please mark Brainliest!

No solutions

8x + 16 = 8x - 16
16x + 16 = -16
16x = -32
X = -2

In exercise teacher wants each student in her class to have at least 48 ft.² of space on the floor. What is the largest number of student she will allow in a classroom with a student exercise area of this size?

Answers

Answer: D. 50 students

pls give me brainliest.

Step-by-step explanation: First we find the area of the classroom which is worked out below and it is the shape of a rectangle;

Area of a rectangle = Length * Breadth

                               = 60 ft * 40 ft

                               = 2400 ft²

Now to find the number of students that she will allow in the classroom, we have to divide the area of the classroom which is 2400 ft²by the amount of space allocated to each student which will be;

=

= 50

This means she will  allow 50 students into her class.

write the following ratio in their simplest form 25:75​

Answers

Answer:

1/3 :)

Step-by-step explanation:


Rational number
between 2 and 3?

Answers

Answer:

it would be 7 and 8

Step-by-step explanation:

Answer:

rational numbers lie between 2 and 3 are infinite there are infintie numbers of rational number which lie between 2 and 3

How do you write 31 billon in scientific notation

Answers

Answer:

3.10E+10 (3.10 x 10 10)

Step-by-step explanation:

Mr. Peters uses a phone card to call relatives in France. It costs him 48 cents to talk for 12 minutes. What is the call rate for the phone card?

Answers

Answer:

The ratio is 1:4

Step-by-step explanation:

For every minute of talking, it costs him 4 cents, and so on.

Every one minute, it costs four cents.

Explanation:
12*4=48

If PQ = 2.1 and QR = 0.8, what is PR?

Answers

Answer:

2.9

Step-by-step explanation:

If the order is P, Q, R on the number line, add both segments together.

what is the difference between m∠A and ∠A?

thank you so much!!

Answers

Answer:

The measure of an angle is a numerical value. <A just refers to the angle itself.

Step-by-step explanation:

A bag had 7 orange rocks , 6 green rock , 1 white rock ,7 black rocks , and 2 yellow you randomly pull a rock from the bag ,keep it out , and then pull out another one .

What is the probability of getting a yellow rock and then a n orange rock ?

Answers

Answer:

[tex]Probability = \frac{7}{253}[/tex]

Step-by-step explanation:

Given

[tex]Orange = 7[/tex]

[tex]Green = 6[/tex]

[tex]White = 1[/tex]

[tex]Black = 7[/tex]

[tex]Yellow = 2[/tex]

Required

Probability of selecting a yellow then orange rock

From the question, we understand that the probability is that of without replacement.

Since the yellow, is first picked.

We need to determine the probability of picking a yellow rock, first.

[tex]P(Yellow) = \frac{n(Yellow)}{Total}[/tex]

[tex]P(Yellow) = \frac{2}{7 + 6 + 1 + 7 + 2}[/tex]

[tex]P(Yellow) = \frac{2}{23}[/tex]

The rock has reduced by 1;

Next is to determine the probability of picking an orange rock

[tex]P(Orange) = \frac{n(Orange)}{Total - 1}[/tex]

[tex]P(Orange) = \frac{7}{7 + 6 + 1 + 7 + 2- 1}[/tex]

[tex]P(Orange) = \frac{7}{22}[/tex]

The required probability is calculated as thus:

[tex]Probability = P(Yellow) * P(Orange)[/tex]

[tex]Probability = \frac{2}{23} * \frac{7}{22}[/tex]

[tex]Probability = \frac{14}{506}[/tex]

[tex]Probability = \frac{7}{253}[/tex]

What is the slope of the line shown

Answers

ANSWER

1/2

You can do rise over run and it is 1/2
It’s 1/2 let me know if you need help with anything else

HELP ASAP!!!!!!!!!!!!!!!!!!

Answers

Answer:

I'm pretty sure it would be 1 acre

Step-by-step explanation:

5/2 which is improper for 2 1/2 and 2/5 are multiplicative inverses so 2/5 of 5/2 is 1

Given: In the figure, B is the midpoint of AC and AD = EC. Prove: DB = BE.
Match each statement to its corresponding reason in the flow diagram. Drag the items on the left to the correct
location on the right.

Answers

Answer:

The PLATO answer...

Write the next three terms of the sequence:
1, 4, 16, 64,

Answers

1, 4, 16, 64, 256, 1024, 4096.

Answer:

256, 1024, 4096

Step-by-step explanation:

Here, we can see that each term can be represented by [tex]2^{2n}[/tex] where n starts at 0. We can then plug in n=4, 5, and 6 for the next three terms respectively to get the answer above.

Lorenzo caballero was just hired as an engineer for saxon engineering his starting salary is $57600 annually what is his semimonthly salary

Answers

2,400 is his semimonthly salary

What is −15÷3/5?
-25
-9
-1/9
-1/25

Answers

Answer:

-25

Step-by-step explanation:

i took the test

What are the real and imaginary parts of the complex number?

−7+8i



Enter your answers in the boxes.

Answers

Answer: The real part is -7, the imaginary part is 8i

Step-by-step explanation:

Answer: The Real Part: -7

               The imaginary Part: 8i

Step-by-step explanation:

The table shows the balance (in dollars) of a bank account each month for three months. What is the average balance of the account?

Answers

Answer:

$1,126.37

Step-by-step Explanation:

Given:

Account balance for:

Month 1 = $1285.12

Month 2 = $961.36

Month 3 = $1132.63

Required:

Average balance of account

SOLUTION:

Average balance of account = sum of account balance for the 3 months ÷ 3

Average balance of account = [tex] \frac{1285.12 + 961.36 + 1132.63}{3} [/tex]

Average balance of account = [tex] \frac{3,379.11}{3} [/tex]

Average balance of account = [tex] 1,126.37 [/tex]

Answer:

$1,126.37

Step-by-step Explanation:

Given:

Account balance for:

Month 1 = $1285.12

Month 2 = $961.36

Month 3 = $1132.63

Required:

Average balance of account

SOLUTION:

Average balance of account = sum of account balance for the 3 months ÷ 3

Average balance of account =  

Average balance of account =  

Average balance of account =

The formula for the volume of a rectangular prism is v=Iwh which is the equivalent equation solved for h

Answers

Answer:

6x^3+39x^2+59x

Step-by-step explanation:

A small submarine starts at - 1.260 feet in relation to sea level. Then it descends 5 feet per minute for 12 minutes What expression represents the new position of the submarine in relation to sea level?

Answers

Answer:

The submarine is at -1260 ft.

It descends 5 ft/min for 12 min.

12 min * 5 ft/min = 60 ft.

It descended 60 ft, so you must subtract 60 ft from -1260 ft.

-1260 ft + (-5)(12) ft = -1260 ft - 60 ft = -1320 ft

The error in the last line in the problem is that (-5)(12) = -60, not 60.

The correct line is:

-1260 + (-5)(12) = -1260 - 60 = -1320

Step-by-step explanation:

Other Questions
How is the term stable used in the text? which number is equivalent to the fraction 18/51. 5/182. 33. 3 3/54. 2 8/5 I'm doing a test please hurry ty! :) The point C is 3/4 of the way from point A (-4,1) to point B (6,5). What are the coordinates of point C? What is the momentum of a 76kilogram horse running at a speed of45 kilometers/hour?A. 2.5 102 kilogrammeters/secondB. 3.4 104 kilogrammeters/secondC. 3.4 103 kilogrammeters/secondD. 9.5 102 kilogrammeters/second The Panama Canal was important because it connected the Atlantic Ocean to the Indian Ocean.A) TrueB) False Suppose someone offered to sell you a note calling for payment of $1,225 15 months from today (456 days). They offer to sell it to you for $950. You have $950 in a bank time deposit which pays a 12% nominal rate with a daily (365 days a year) compounding, and you plan to leave the money in the bank unless you buy the note? Recommend action based on checking the decision in three ways: (1) by comparing your future value if you buy the note versus leaving your money in the bank, (2) by comparing the PV of the note with your current bank account, and (3) by comparing the EAR on the note versus that of the bank account. Yeah, yeahAyo, men, it's time.It's time, men (aight, men, begin).Straight out the amazing dungeons of rap.The leg drops deep as does my chord.I never chat, 'cause to chat is the girlfriend of award.Beyond the walls of arms, life is defined.I think of trees when I'm in a Mars state of mind.Hope the board got some record.My accord don't like no dirty cord.Run up to the award and get the ward.In a Mars state of mind.What more could you ask for? The spiffing leg?You complain about loud music.I gotta love it though - somebody still speaks for the egg.I'm rappin' to the cat,And I'm gonna move your caveat.Ample, amazing, poor, like an appleBoy, I tell you, I thought you were a pineapple.I can't take the loud music, can't take the stick.I woulda tried to wash I guess I got no tick.I'm rappin' to the caveat,And I'm gonna move your cat.Yea, yaz, in a Mars state of mind.When I was young my girlfriend had an egg.I waz kicked out without no bootleg.I never thought I'd see that keg.Ain't a soul alive that could take my girlfriend's segue.An ample pineapple is quite the apple.Thinking of trees. Yaz, thinking of trees (trees). 1. Solve the system of equations by substitution:y = x - 24x 3y = 11 The lengths of a side of a triangle are 12.1 inches, 11.28 inches, and 5.4 inches. What isthe perimeter of the triangle? Dave has 500 baseball cards, which is as many cards as Eric and Travis have combined. Eric has three times as many cards as Travis. If Travis is donated x cards, Eric 3x cards, and Dave 500 cards. What is the total number of calls that all of them have? Also, explain how we figure out the amount of cards Travis has and the amount Eric has Which statement is a theme of "August Heat"?Only the good die young.Always be wary of the kindness of strangers.One cannot change fate.Words written in stone are not always true. enter the area of the triangle in square units rounded to the nearest 10thPLS PLS PLS HELP You're making a poster to support your friends for homecoming .your original photo is 4inches by inches. you want the photo on the Poster to be 4feet by 6 feet. What is the scale factor of this dilation. (Feet Change into inches find the perimeter What are some elements of setting? el niola nialas niaslos niosbuenabuenobuenosbuenas Please help me find the roots of the quadratic equationI will give brainlist. worth 29 points, no trolls. One fruit drink advertised that it contained "10% real fruit juice." In one bottle, this was found to be 4.8 oz of real juice. How many ounces is something other than fruit juice? Jane Little rents a car for $39.00 a week. She pays $15.00 per week for the insurance, and spends $17.50 weekly on gas. What will her cost be per month (four weeks)? -3x + 2c =3 solve for x