In the figure, the angles are formed by a transversal and two parallel lines. Which angles are congruent?

In The Figure, The Angles Are Formed By A Transversal And Two Parallel Lines. Which Angles Are Congruent?

Answers

Answer 1

Answer:

A is your correct answer.

1, 3, 5, and 7 are equal to each other and 2, 4, 6, and 8 are equal to each other.

Step-by-step explanation:

Congruent angles are angles that have the same measure. In this example, where two parallel lines are cut by a transversal line, the angles in the same position on the top line and bottom line are congruent. For example, angle 1 and 5 are in the same position, so they have the same measure.

Also, vertical angles (opposite angles, like 5 & 7 in your example) have the same measure.

Please let me know if you have questions about this.


Related Questions

Check all solutions to the equation. If there are no solutions, check "None."
x1 = 2

Someone please help ASAP!

Answers

Answer:

C -2

Step-by-step explanation:

it's -2 since lxl = -2 or 2

Which set of ordered pairs does not represent a function?
O {(5, -1),(-3, -3), (8,4),(4, -3)}
O{(-6, -7), (-3, -3), (-2,-8), (-6,4)}
O {(-2,1),(-8,0), (6, 7), (8, 7)}
O {(5,-3), (-6,2), (-5,3), (1, 2)}

Answers

Answer: set 2 : O{(-6, -7), (-3, -3), (-2,-8), (-6,4)}

Step-by-step explanation: In order for a set of ordered pairs to be a function, then each input can correspond to only 1 output. In the context of your question, this means there cannot be two ordered pairs which have the same x value. The second set of ordered pairs does not represent a function because the input x = -6 corresponds to two different outputs, y = -7 and y = 4.

Order from least to greatest. 5/12, 2/3, 1/2, 5/6, 3/4A) 3/4, 5/6, 2/3,1/2, 5/12B) 5/12, 1/2, 2/3, 3/4, 5/6C) 1/2, 2/3, 3/4, 5/6, 5/12D) 1/2, 2/3, 5/6, 3/4, 5/12

Answers

Answer:

B) 5/12, 1/2, 2/3, 3/4, 5/6

Step-by-step explanation:

You want to get all the fractions to the common denominator, which in this case is 12. once you do this you can easily order them from least to greatest. Here are the fractions with the common denominator.

2/3 = 8/12

1/2 = 6/12

5/6 = 10/12

3/4 = 9/12

Once you have all these with the same denominator, you order them from least to greatest, which gets you the answer (B.)

y = x ^ 3 - 5x ^ 2 + 6x

Answers

Answer:

Step-by-step explanation:

y = x(x^2 -5x + 6)      Factor out a common term (GCF)

y = x(x - 2) (x - 3)       Factor the trinomial

     (x - 2) = 0     (x - 3) = 0      x = 0

 Therefore x = 2, 3, or 0

<3 is a supplement of <2 and m<3= 76* Find m<2

Answers

Answer:

m < 2 = 104°

Step-by-step explanation:

Given that < 3 is a supplement of < 2, and that m < 3 = 76°, then:

To find the measure of m < 2, all you need to do is subtract the m < 3 from 180°.

m < 2 = 180° - m < 3

m < 2 = 180° - 76°

m < 2 = 104°

Given the diagram, complete the two-column proof and
solve for x.

Answers

Answer:

x=7

Step-by-step explanation:

11x+57=15x+29 [Alternate exterior angles]

57-29=15x-11x

28/4=x

7=x

Answer:

Nnnnnnnnnnnnnnn

7x =x

Zygmund Oleksik is paid a salary of $800 a week to manage a party store. What amount will he make in one
year working at this job?

Answers

x = one week worked

x = $800

Then, Oleksik will earn $416,000 in 52 weeks (one year).

PLEASE PLEASE HELP

Referring to the Fig. in Question #31, the spinner is divided
into equal parts. If you spin the spinner 100 times,
how many times do you expect it to stop on a number
less than 10?

Answers

Answer:

75 times

Step-by-step explanation:

If the parts are numbered 1-12,
then P(x<10 on one spin = 9/12
Now let’s reduce 9/12 to 3/4
3/4 is equivalent to 75.
Your answer is 75%

3x+2=23
Please show steps on how to do.

Answers

Answer:

x = 7

Step-by-step explanation:

3x+2=23

Subtract 2 from each side

3x+2-2 = 23-2

3x = 21

Divide each side by 3

3x/3 = 21/3

x = 7

Answer:

[tex] \sf \: x = 7[/tex]

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 3x + 2 = 23

Then the value of x will be,

→ 3x + 2 = 23

→ 3x = 23 - 2

→ 3x = 21

→ x = 21 ÷ 3

→ [ x = 7 ]

Hence, the value of x is 7.

which expression is equivalent to the given polynomial expression? (9mn-19m^4n)-(8m^2+12m^4n+9mn)
A. -31m^4n+18mn-8m^2
B. -7m^4n+8m^2
C. -7m^4n+18mn-8m^2
D. -31m^4n-8m^2

Answers

9514 1404 393

Answer:

  D. -31m^4n-8m^2

Step-by-step explanation:

Eliminate parentheses by distributing the minus sign. Then collect terms:

  (9mn-19m^4n)-(8m^2+12m^4n+9mn) = 9mn -19m^4n -8m^2 -12m^4n -9mn

  = m^4n(-19 -12) +mn(9 -9) +m^2(-8)

  = -31m^4n -8m^2 . . . . . matches choice D

if f(x)=-4x-5 and g(x)=3-x, what is f(5)?

Answers

Answer:

f(5)=

[tex] = 4x - 5 \\ = 4 \times 5 - 5 \\ = 20 - 5 \\ = 15[/tex]

Hey ! Can anyone help me with this problem please thank you !!

Answers

Answer:

2

Step-by-step explanation:

7x + 3 = 8x + 1

2 = x

these are geometry problems.

100x+300y=1.200
(2/3x+10)/100=(y+20)/300

Answers

Answer:

x= -4.284 and y= 1.432

Step-by-step explanation:

The basketball team scored 49 points in thechampionship game. This is 12 points more than
half of their score in the first round game. How many points did the team score in their first round game?

Answers

49 - 12 = 35
35 * 2 = 70

They scored 70 points in their first round game.

You start with the Championship Game score. This score is 12 points MORE than Half of the first round games score. So if you subtract 12 from the 49 points they got in the championship game then you would get 35 which is half of the first round games score.

Since 35 is half the score, if you multiply 35 by 2 you would get the total First Round Game score of 70.

Determine the value of x if KL = 4x-2, LM = x +18, and KM = 7x +4.

Answers

Answer:

x=6

Step-by-step explanation:

7x+4=4x-2+x+18

2x=12

x=6

100, 20,4, 0.8, ...
What is the formula for this geometric sequence

Answers

Answer:

divide by 5

Step-by-step explanation:

100/5 20 20/5 4 4/5 0.8 etc

simply each radical 1-4

Answers

Answer:

1. [tex]8x\sqrt{yz\\}[/tex]   2.[tex]8xy\sqrt{xz}[/tex]   3.[tex]4x^{2}yz\sqrt{y}[/tex]     4.[tex]7yz\sqrt{xz}[/tex]

Step-by-step explanation:

The sum of two numbers is 45. The difference of the 2 numbers is 3. What is the product?

Answers

Answer:

21 and 24

Step-by-step explanation:

21+24=45

Step-by-step explanation:

please mark me as brainlest

please help me with this sum​

Answers

Answer:

2880

1950

3960

2240

920

5220

4320

3760

6650

1080

32980 is the sum of all combined

Please allow me to know if this helped you by clicking thank you, rating or brainly!

Miss Hawaii

Answer:

1. 2880

2. 1950

3. 3960

4. 2240

5. 920

6. 5220

7. 5760

8. 3760

9. 6650

10. 1080

Evaluate the expression 2b + 5 when b = 3

Answers

Answer:

11

Step-by-step explanation:

Step 1:

Since b = 3, substitute 3 into the expression for b

2(3) + 5

Step 2:

2(3) = 6 so the expression is now 6 + 5

Step 3:

6 + 5 = 11

The answer to your problem is 11

Can someone help me solve x?

Answers

9514 1404 393

Answer:

  x = 1

Step-by-step explanation:

The diagram is intended to show you that the whole is the sum of the part:

  11 = (10x -1) +(2x)

  11 = 12x -1 . . . . . . . collect terms

  12 = 12x . . . . . . . . add 1 to both sides

  1 = x . . . . . . . . . . . divide both sides by 12

The value of x is 1. The lengths of the segments are 9 and 2.


A copy machine makes 32 copies per minute. How many copies does it make in 4 minutes and 15 seconds?

Answers

9514 1404 393

Answer:

  136

Step-by-step explanation:

15 seconds is 1/4 minute. We can find the number of copies by multiplying the rate by time:

  (32 copies/min)(4.25 min) = 136 copies

The machine can make 136 copies in 4 minutes 15 seconds.

graph the equation
y=-2x+1

Answers

Start by plotting the y-intercept at (0,1).

From that point, count "up 2, right 1" to get a second point on your graph.  

If needed repeat that "up 2, right 1" from that second point to get a third point.

Draw the line that connects these 2 or 3 points.

Solve the inequality

Answers

Step-by-step explanation:

3 - 4(y + 2) <= 6 + 4(2y + 1)

3 - 4y - 8 <= 6 + 8y + 4

-5 <= 10 + 12y

-15 <= 12y

12y >= -15

y >= -15/12 = -5/4

y >= -5/4

y € [‐5/4, oo)

Please can someone help? As i'm not confident this is right for factorising 4b^2 + 8b + 3 ​

Answers

Answer:

your answer is correct

Step-by-step explanation:

4b² + 8b + 3

Consider the factors of the product of the coefficient of the b² term and the constant term which sum to give the coefficient of the b- term.

product = 4 × 3 = 12 and sum = + 8

The factors are 2 and 6

Use these factors to split the b- term

4b² + 2b + 6b + 3 ( factor the first/second and third/fourth terms )

= 2b(2b + 1) + 3(2b + 1) ← factor out (2b + 1) from each term

= (2b + 1)(2b + 3)

A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally likely to be rolled.
What is the probability of rolling a number less than 2?
Write your answer as a fraction.

Answers

1/12. There are 12 possibilities, and only one number under 2.

Which ordered pairs is a solution to −5x + 3y > 12?
A. (3, 9)
B. (-5, 5)
C. (3, -6)
D. (-2, -5)
E. (2, 8)
F. (-6, 0)

Answers

I think it is C I thinkkkkkkkkk

The ordered pair that satisfy the inequality is (2, 8) and (-6, 0)

what is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

For example, In the 12U Softball division, Olivia gets chosen. What is Olivia's age? Olivia's age is unknown to you because the word "equals" is missing. However, since you are aware that she should be under or equal to 12, you can write Olivia's Age ≤ 12. This is a real-world example of an inequality.

Given:

−5x + 3y > 12

a) (3, 9)

−5x + 3y > 12

-5(3) + 3 (9) > 12

-15 + 27 > 12

12>12

b) (-5, 5)

−5x + 3y > 12

-25 + 15 > 12

-10>12

c) (3, -6)

−5x + 3y > 12

-15 -18 > -12

-23> -12

d) (-2, -5)

−5x + 3y > 12

10 - 15 > 12

-5> 12

e) (2, 8)

−5x + 3y > 12

-10 + 24 > 12

14>12

f) (-6, 0)

−5x + 3y > 12

30 + 0 > 12

30>12

Hence, the ordered pair that satisfy the inequality is (2, 8) and (-6, 0)

Learn more about inequality here:

https://brainly.com/question/28823603

#SPJ5


Donald is thinking of buying a car but is looking at the annual running costs before he makes a purchase
These are his costs before adding on petrol and maintenance

Cost(£)
Tax - 110
Insurance - 360
Breakdown - 50

What fraction of these costs is his insurance?
3/4
9/13
1/7
5/6

Answers

Answer:

Step-by-step explanation:

i cant figure out how to do this please help

Answers

9514 1404 393

Answer:

∠BEC, ∠CED83°139°90°

Step-by-step explanation:

When it comes to angles in a plane, the whole is the sum of the parts.

The little square in the corner of angle BED tells you that is a right angle, so has a measure of 90°. (This is the answer to part 4.) It also tells you that any ray between EB and ED will divide this angle into two complementary angles--angles that have a sum of 90°. There is only one such ray, EC, and it divides angle BED into angles BEC and CED.

1. Angles BEC and CED are adjacent complementary angles.

__

2. The parts of angle AEC are angles AEB and BEC. Angle AEC is the sum of those parts:

  ∠AEC = 49° +34° = 83°

__

3. Angle AED is the sum of angle AEB and right angle BED:

  ∠AED = 49° +90° = 139°

__

4. As we saw above, the marking on the figure tells you ...

  ∠BED = 90°

if the lcm of a number is 630 and the HCF is 10 what will be the first number it the second number is 10​

Answers

Answer:

1000

Step-by-step explanation:

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