Lines m and n are drawn in the coordinate plane. The equation of line m is y=-3x+8 and line n goes through point (-4,-11). When a transversal of the two lines is constructed the alternate interior angles formed by the transversal are congruent. What is the equation of line n?

Answers

Answer 1

Answer:

The equation of line n is;

y = -3x - 23

Step-by-step explanation:

Here, we want to find the equation of line n

For the alternate interior angles to be congruent after drawing the transversal, then both lines must be parallel

If the two lines are parallel, then their slopes are equal

To get the slope of line m, we compare the equation of line m to the standard form

The equation of line m is y = -3x + 8

if we compare this with the standard form which is y = mx + c

Then the slope of line m is -3 and since they are parallel lines, the slope of line n is -3 too

So now, we need to get the equation of line n

It passes through (-4,-11)

What we have already is;

y = -3x + c

we need to get the y-intercept to write the complete equation

To get the y-intercept we simply substitute for (-4,-11)

Thus, we have

-11 = -3(-4) + c

-11 = 12 + c

c = -11-12 = -23

The equation of line n is;

y = -3x - 23


Related Questions

50% of 70

Help!! It's due by 10:00pm!!

Answers

Answer:

35

Step-by-step explanation:

35

What is 50 percent (calculated percentage %) of number 70? Answer: 35.

Answer:

50%×70

REMOVE PERCENT BY DIVIDING WITH 100

=50/100×70

=0.5×70

=35 ANSWER


A box of rice costs $2.99 for 62 oz. What is the unit cost for 1 oz?

Answers

Answer:

0.04

Step-by-step explanation:

set up a proportion!

sorry if its sloppy, i did this on my laptop :/

Answer:

.48 cents for 1 oz

Step-by-step explanation:

You first take the 2.99 and divide by 62 to get your amount for 1 oz

What is the answer to The sum of 2 numbers is 19 and their difference is 3? And thank you brainly for helping. I need the answers correct because I play prodigy, a math game. Thank you!

Answers

Answer:

11 and 8

Step-by-step explanation:

11+8=19

11-8=3

Answer:

8 and 11

Step-by-step explanation:

A triangle on a coordinate plane is translated according to the rule T-3, 5(x, y). Which is another way to write this rule?
VX
(x,y) - (x - 3, y + 5)
O (x, y) - (x-3, y-5)
(x,y) - (x + 3, y-5)
O(x, y) - (x + 3, y + 5)

Answers

Answer:

A

Step-by-step explanation:

The solution is, The way to write the rule is: (x, y) is  (x – 3, y + 5).

A triangle which is on a coordinated plane is translated to the rule.

What is coordinate plane?

Two lines combine to generate the two-dimensional surface known as the coordinate plane. The x-axis is a single horizontal number line. The y-axis is the name of the vertical number line that is the other number line.

here, we have,

The original rule x and y coordinates

that are being moved to the left-hand side of the equation by

decreased by 3 units and rise up by 5 units.

Based on the information given,

we can come to the conclusion that other way to

write the given rule is

(x, y) is (x – 3, y + 5).

Hence, the other rule which are given are incorrect.

To learn more about coordinate plane :

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if f(x) = x^2+3x-2, find f(-2)

Answers

Answer:

f(-2)= -4

Step-by-step explanation:

f(-2) = (-2)² +3(-2) - 2

f(-2) = 4 - 6 - 2

f(-2) = -4

The average cost per unit c(x) to produce x units of lumber is given byc * (x) = 400/(x + 25) if the cost per unit is \$1.00 how many units have been produced if necessary round your answer to the nearest whole unit. the answer is 375

Answers

Answer:

The number of units of lumber that have been produced is 375

Step-by-step explanation:

From the question,

The average cost per unit c(x) to produce x units of lumber is given by

c(x) = 400/(x + 25).

Now, to determine how many units have been produced (that is, x) if the cost per unit is $1.00 (that is, c(x) = $1.00), we will put in the value into the given equation to determine x.

c(x) = 400/(x + 25)

c(x) = $1.00

∴ 1.00 = 400/(x + 25)

Then,

(x + 25) × 1.00 = 400

x + 25 = 400

x = 400 - 25

x = 375

Hence, the number of units of lumber that have been produced is 375.

ill give you'll brain list

Answers

Answer:

I can’t see. Pic is not readable

Step-by-step explanation:

I can’t answer number 2 but number 1 is

H:2,5
i:4,8
J:8,7
K:8,3
L:4,2

The length of x 200 feet​

Answers

Answer:

If the length of x is less than 200, then add <.

If the length of x is more than 200, then add >.

If the length of x is 200, then add =.

Step-by-step explanation:

There are 260 students in 6th grade at meghan's school if 15% of them play a instrument how many 6th graders at meghan's school play an instrument ?

Answers

Answer:

39 people

Step-by-step explanation:

15 percent *260 =

(15:100)*260 =

(15*260):100 =

3900:100 = 39

Plz Award Brainlest

Answer: 17 or 33 student of 6th grade

Step-by-step explanation: that how you do the math

What is the binary number for 16​

Answers

Answer:

Decimal Number 4-bit Binary Number Hexadecimal Number

14 1110 E

15 1111 F

16 0001 0000 10 (1+0)

17 0001 0001 11 (1+1

Step-by-step explanation:

hope this helped

HELPPPPPP PLSSSSSSSSSS ASP HELPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

if it helps please mark brainliest!

Step-by-step explanation:

essays= x

quizzes=y

2x=60

x=30 1 essay per 30 days

4y=40

y=10 1 quiz every 10 days

120/30=4

120/10= 12

so 4 essays and 12 quizzes in 120 days

if it helps please mark brainliest!

What is the slope for 3y+6x=9

Answers

Answer:

The slope is -2!

Step-by-step explanation:

Lets Solve!

3y +6x = 9

First we subtract 6x from both sides

3y = -6x + 9

Next we divide by 3 from both sides.

y = -2x + 3

The slope is -2!

Sandy charges each family that she babysits a flat fee of $10 for the night and an extra $5 per child. Which a y = 10x + 5 b y = 5x + 10 c y = -5x + 10 d y = -10x -5

Answers

Answer: B. y = 5x + 10

Step-by-step explanation:

Based on the scenario in the question, you didn't really say what you'll like to calculate but I guess you want to know the equation that can be used to represent the above information.

Let x = the number of children babysit

The amount charged by Sandy can then be written as:

y = 10 + 5(x)

y = 10 + 5x

y = 5x + 10

Therefore, the correct option is B.

Kyra observed that 85% of the students at a library liked reading mystery stories. If 30 students at the library did not like reading mystery stories, the number of students at the library who liked mystery stories was _____. (only put numeric values, no other symbols)​

Answers

Answer:

The first thing we must do is find the percentage of students who do not like to read mystery stories.

We have then:

Then, to find the number of students who like to read mystery stories, we can make the following rule of three:

15% ----------------> 30 students

85% ----------------> x

From here, we clear the value of x.

We have then:

the number of students at the library who liked mystery stories was 170

what is the slope of the line?
plss answer now

Answers

Answer:

y= -3 I think but the next person will answer this for you

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Hint :

Slope of horizontal lines is

zero (( 0 )) .

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Thus ;

[tex]slope = 0[/tex]

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Find the equation of the line that contains the point ( - 1. - 4) and is parallel to the line 2x + 3y = 5

Answers

Answer:

Answer: 2x+3y=-14

Y needs to be changed in order to maintain parallelism

Good luck!

i need help for this question. can someone help me

Answers

Answer:

the missing angle is 130

Step-by-step explanation:

180-50=130

130 is the answer

the straight line must add up 180, so if one angle is 50, 180-50= 130

geometry question. please help ​

Answers

Answer:

The length of PQ is 18 feet.

The length of PR is 18 feet.

The length of QR is 24 feet.

Step-by-step explanation:

A way to set an equation up for this problem is:

[tex]\frac{4}{3}x+x+x=60[/tex]

where x is the three lengths of the isosceles triangle, but the base QR is 4/3 the length of the other two congruent sides, length PQ and PR. The 60 represents the total length of the perimeter.

Then, solve for x from the equation, and you’ll get x=18. But your not done yet. Since the variable x in the equation stands for the sides of the isosceles triangle, so plug 18 into the equation and it should look like this:

[tex]\frac{4}{3}(18)+18+18=60[/tex]

Don’t solve the whole equation, just solve the [tex]\frac{4}{3}(18)[/tex] part of the equation, which is equal to 24. So the final equation is this:

[tex]24+18+18=60[/tex]

Conclusion: 24 is the length of QR, and 18 is the length of PQ and PR. And they all equal 60, which is the perimeter. This is very true because the length of PQ and PR are the same (length 18), since it’s an isosceles triangle, and the length of QR is 4/3 the length of PQ and PR (4/3 of 18= 24).

Sorry for the long explanation.

But hope this helps and answers your question :)

HELP
The length of a rectangle is
[tex]18x ^{2} + 6x - 4[/tex]
and the width of the rectangle is
[tex]3x {}^{2} - 9x + 10[/tex]
what expression would represent the perimeter of the rectangle?​

Answers

Answer:

21x^2+3x+12

Step-by-step explanation:

Randy, Sandy and Todd are my cousins and their combined age is 87 years. Randy is four times as old as Sandy, but Todd is actually 15 years older than Sandy. How old are each of my cousins

Answers

Answer:

Randy is 48 years old

Sandy is 12 years old

Todd is 27 years old

Step-by-step explanation:

Given

Represent their ages with the first letters of their names:

[tex]R + S + T = 87[/tex]

[tex]R = 4 * S[/tex]

[tex]T = 15 + S[/tex]

Required

Determine their individual ages

We'll solve the above equations using substitution method of simultaneous equations

Substitute 15 + S for T and 4 * S for R in [tex]R + S + T = 87[/tex]

This gives:

[tex]4 * S + S + 15 + S = 87[/tex]

[tex]4 S + S + 15 + S = 87[/tex]

Collect Like Terms

[tex]4 S + S + S = 87 - 15[/tex]

[tex]6S = 72[/tex]

Divide through by 6

[tex]S = 72/6[/tex]

[tex]S = 12[/tex]

This implies that Sandy is 12 years old

Substitute 12 for S in [tex]R = 4 * S[/tex] and  [tex]T = 15 + S[/tex]

[tex]R = 4 * 12[/tex]

[tex]R = 48[/tex]

[tex]T = 15 + 12[/tex]

[tex]T = 27[/tex]

This implies that Randy is 48 years old and Todd is 27

A landlord owns 3 condominiums, a 1-bedroom condo, a 2-bedroom condo, and a 3-

bedroom condo. The total rent she receives is $1240. She needs to make repairs on the

condos, and it costs 10% of the 1-bedroom condo's rent for its repairs, 20% of the 2-

bedroom for its repairs, and 30% of the 3-bedroom condo's rent for its repairs. The total

repair bill was $276. The 3-bedroom condo's rent is twice the 1-bedroom condo's rent.

How much is the rent for all three condos?

Answers

Answer:

I bedroom condo = $280

2 bedroom condo = $400

3 bedroom condo = $560

Step-by-step explanation:

Given that :

Total rental cost for all 3 condos = $1240

Let :

I bedroom condo = b

2 bedroom condo = c

3 bedroom condo = 2b

Hence,

b + c + 2b = 1240

3b + c = 1240 - - - (1)

REPAIR COST :

Total repair cost = $276

1 bedroom = 10% of b = 0.1b

2 bedroom = 20% of c = 0.2c

3 bedroom = 30% of 2b = 0.3 * 2b = 0.6b

Hence,

0.1b + 0.2c + 0.6b = 276

0.7b + 0.2c = 276 - - - (2)

From (2)

0.7b + 0.2c = 276

0.7b = 276 - 0.2c

b = (276 - 0.2c) / 0.7

Substitute b = (276 - 0.2c) / 0.7 into (1)

3(276/0.7 - 0.2c/0.7) + c = 1240

1182.8571 - 0.8571428c + c = 1240

1182.8571 + 0.1428571c = 1240

0.1428571c = 1240 - 1182.8571

0.1428571c = 57.1429

c = 57.1429 / 0.1428571

c = 400

3b + c = 1240

3b + 400 = 1240

3b = 1240 - 400

3b = 840

b = 840/3

b = 280

Hence,

I bedroom condo = $280

2 bedroom condo = $400

3 bedroom condo = 2(280) = $560

Slope of (2,8) and (2,6)

Answers

no slope because the points are vertical.

On the coloring sheet find the ratio that is equivalent to 2/7

Answers

Answer:

Equivalent Ratios of 2 : 7

2 : 7    4 : 14    6 : 21    8 : 28    10 : 35    12 : 42    14 : 49    16 : 56    18 : 63    20 : 70    22 : 77    24 : 84    26 : 91    28 : 98    30 : 105    32 : 112    34 : 119    36 : 126    38 : 133    40 : 140    42 : 147    44 : 154    46 : 161    48 : 168    50 : 175 52 : 182    54 : 189    56 : 196    58 : 203    60 : 210

( Brainlyst helps my rank <3 )

PLEEEEAASEEE HEEELPPP MEEE

Answers

Answer:

The measure of the vertex angle is 100°

Step-by-step explanation:

In Δ MNO

∵ Δ MNO is an isosceles triangle with base MO

NM = NO

→ In an isosceles triangle, the base angles are equal in measures

∵ ∠M and ∠O are the base angles isosceles ΔMNO

m∠M = m∠O

∵ m∠M = (3x + 10)°

∵ m∠O = (5x - 10)°

→ Equate their measures

5x - 10 = 3x + 10

→ Add 10 to both sides

∵ 5x - 10 + 10 = 3x + 10 + 10

∴ 5x = 3x + 20

→ Subtract 3x from both sides

∴ 5x - 3x = 3x - 3x + 20

∴ 2x = 20

→ Divide both sides by 2 to find x

∵ [tex]\frac{2x}{2}[/tex] = [tex]\frac{20}{2}[/tex]

x = 10

→ Substitute the value of x in the measures of ∠M and ∠O to find them

∵ m∠M = 3(10) + 10 = 30 + 10

m∠M = 40°

∵ m∠O = 5(10) - 10 = 50 - 10

m∠O = 40°

→ The sum of the measures of the interior angles of a Δ is 180°

m∠M + m∠O + m∠N = 180°

∵ 40 + 40 + m∠N = 180

→ Add the like terms

∴ 80 + m∠N = 180

→ Subtract 80 from both sides

∴ 80 - 80 + m∠N = 180 - 80

m∠N = 100°

∵ ∠N is the vertex angle of Δ MNO

The measure of the vertex angle is 100°

HELP ME PLEASE!!!!!!!!!!!!

Answers

Answer: linear

Step-by-step explanation: cus when u connect the points it forms a straight line

Linear is the awnser CHUJVCFHHVF

PLEASE HELP ME WITH THESE QUESTIONS ASAP

Answers

Answer:

D.

Step-by-step explanation:

Answer:

the answer is d 64 because a rational number is a whole number not decimals.

Step-by-step explanation:

brainliest pls

Determine if the ordered pair (-5, -1) is a
solution of 2x - y =-11.

Answers

No, when you plug is -5 for x and -1 for why, it ends up being -9 not -11. (-5,-1) is not a solution.

Answer:(-5,-1) is not an ordered pair

Step-by-step explanation:

the ordered pair (-5,-1) is directly related to the variables (x,y) making -5=x and -1=y

so to figure out if the ordered pair is a solution you just plug in the number into their respective variable.

so the equation then becomes 2 (-5) - (-1) = -11

once you solve for the left part of the equation you are then left with -9 = -11 which we know is false.

The centroid cuts each median into two segments. The shorter segment is _ _ _ _ the length of the entire segment.

Answers

Answer:

Step-by-step explanation:

One third

The centroid of a triangle divides each median.

The shorter segment is 1/3 and the length of the entire segment is 1

The centroid of a triangle divides the median in the following ratio

[tex]\mathbf{Ratio = 2 : 1}[/tex]

The fraction of the shorter segment is:

[tex]\mathbf{Short = \frac{1}{1 + 2}}[/tex]

[tex]\mathbf{Short = \frac{1}{3}}[/tex]

Hence, the shorter segment is 1/3, while the entire segment is 1.

Read more about centroids at:

https://brainly.com/question/11891965

The nth term of a different sequence is 10n^2+5 work out the 5th term of this sequence

Answers

Answer:

255

Step-by-step explanation:

10n^2+5

where n=5

10×5²+5

10×25+5

250+5

255

The 5th term of Sequence is 255.

What is Sequence?

A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. Similar to a set, it has members (also called elements, or terms). The length of the series is the number of elements (potentially infinite).

Given:

10n² +5

Now for 5th term put n= 5 we get

10n² +5

= 10(5)² +5

= 10 x 25 + 5

= 250+ 5

= 255

hence, the 5th term is 255.

Learn more about Sequence here:

https://brainly.com/question/21961097

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0.2(10-5c)=5c-16
solve the iniquality

Answers

i’m pretty sure it’s c = 3? i think
Multiply both sides by 10
2(10 - 5c) = 50c -160
Distributive property
20 - 10c = 50c - 160
Add 160 to both sides
180 - 10c = 50c
Add 10c to both sides
180 = 60c
Divide by 60c
c = 3
Other Questions
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