Find the value of x that makes line m parallel to line
n.
(4x - 23)
n
{
(2x + 17)

Find The Value Of X That Makes Line M Parallel To Linen.(4x - 23)n{(2x + 17)

Answers

Answer 1

Answer:

20

Step-by-step explanation:

If lines m and n are parallel, then the labelled angles would be considered alternate exterior angles. By definition, such angles are of the same value.

Thus, we set the two expressions of 4x - 23 and 2x + 17 equal:

4x - 23 = 2x + 17

Subtract 2x from both sides and add 23 to both sides:

2x = 23 + 17 = 40

Divide by 2:

x = 40/2 = 20

The answer is thus 20.

~ an aesthetics lover

Answer 2

Answer:

[tex]x=20[/tex]

Step-by-step explanation:

Alternate exterior angles are a pair of equal angles on opposite sides of the transversal.

[tex]4x-23=2x+17[/tex]

[tex]4x-23+23=2x+17+23[/tex]

[tex]4x=2x+40[/tex]

[tex]4x-2x=2x+40-2x[/tex]

[tex]2x=40[/tex]

[tex]\frac{2x}{2}=\frac{40}{2}[/tex]

[tex]x=20[/tex]


Related Questions

A shirt that originally cost $38.00 is on sale for 30% off. What is the sale price of the shirt?
1.
$11.40
2.
$26.60
3.
$29.23
$49.40​ this is due today pls help.

Answers

_________________________________

Solution,

Marked price (MP)=$ 38.00

Discount%=30%

Sale price (SP)=?

Now,

Discount amount= discount% of MP

=30%of 38

=$ 11.4

Again,

Sale price(SP)=MP-Discount

= 38-11.4

=$26.60

The right answer is $ 26.60

Hope it helps...

Good luck on your assignment

_______________________________

Answer:

$26.60

Step-by-step explanation:

[tex]orginal \: \: \: \: price = 38.00[/tex]

[tex]discount \\ percentage= 30\%[/tex]

First we have to find the discount.

[tex]discount = 38 .00\times \frac{30}{100} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 11.40[/tex]

Now let's find the sales price of the shirt.

[tex]sales \: \: \: price \\ =original \: \: \: \: price - \: discount \\ = 38.00 - 11.40 \\ = 26.6 0\\ [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

8. Lilly paid $19.16 for a 1kg apple basket. This amount includes a tax of 3%. What was the cost of the apple before tax?

Answers

Answer:

19.75. The apples cost 19.75 before the tax.

Step-by-step explanation:

0.97(x)=19.16

19.75

Simplify x^-3*(y^8*z^5)/x^-2*y^-7*-6

Answers

I’m pretty sure the answer is this:

Use the graph to find the solution to this system of linear equations.

Answers

Answer:

-1, -1/2

Step-by-step explanation:

The solution is the intersecting point. The two lines intersect at (-1, -1/2)

How do I solve this 4x-2y=8 y=3/2x-2

Answers

Answer:

y=1 and x= .5

Step-by-step explanation:

distribute

the x has to be solved

they when got the answer

input the answer you got for x into the y and subtract and divide

the answer is one for x

solve for 25x2 + 9 = 30x

Answers

Answer: [tex]x=\frac{3}{5}[/tex]

Step-by-step explanation:

Move all terms to one side.

[tex]25x^2+9-30x=0[/tex]

Rewrite [tex]25x^2+9-30x[/tex] in the form [tex]a^2-2ab+b^2[/tex], where [tex]a=5x[/tex] and [tex]b=3[/tex]

[tex](5x)^2-2(5x)(3)+3^2=0[/tex]

Use the Square of Difference: [tex](a-b)^2=a^2-2ab+b^2[/tex]

[tex](5x-3)^2=0[/tex]

Take the square root of both sides.

5x-3=0

Add 3 to both sides.

5x=3

Divide both sides by 5.

x= 3/5

PLEASE HELP!

The dot plots show two different random samples of the number of lunches purchased in a month by some students. Which statement is BEST supported by the data?

Answers

Answer: i think its b

Step-by-step explanation:

Answer is B

Step-by-step explanation:

At 1:00 p.m., the temperature is 12°F. If the temperature steadily decreases by 2°F per hour, then what the temperature at 08:00 p.m

Answers

Answer:

-2

Step-by-step explanation:

There’s a decrease over 7hrs 7•-2= -14

12-14=-2

Answer:

-2

Step-by-step explanation:

The radius of the semicircle in the following composite figure is 8.5 millimeters. What is the total area of the composite figure rounded to the nearest hundredth?

Answers

Answer:

13.35 millimeter. (About)

Step-by-step explanation:

To find the area or circumference of any circle, you need to use pi. So, if we are trying to fine the area of a semicircle, you use the the formula:

πr²/2

So, if the radius is 8.5,

8.5 · 3.14 = 26.69

Now we divide it by 2.

26.69 = 13.345

Since the question is asking to round to the hundredths, the answer will be 13.35 millimeters.

Answer:

185.43 mm 2

Step-by-step explanation:

,.

.

.

.

.

.

.

.

A circular lawn has a row of bricks around the edge. The radius of the lawn is about 20 feet.







Which is the best estimate for the area of the grass in the lawn? Use 3.14 for π. Select One.


125 feet


125 square feet


1250 feet


1256 square feet

Answers

Answer:1256

Step-by-step explanation:

You need to find the area which is Area=3.14xradiusxradius

So in short hand A=3.14x20x20 which is 1256 feet

please help me thank you in advance

Answers

Answer:

480

Step-by-step explanation:

The ratio of odd ood is 12/50. Divide 2000 by 500 to get the amount you need to multiply by (40). 12 *40=480

Identify the closest perfect squares less than and greater than the radicand below, respectively.
135
A. 25 and 36
B. 25 and 40
C. 30 and 36
D. 30 and 40

Answers

It would be A because they’re both perfect squares

what is the minimum please answerrr

Answers

Answer:

(0,1) should be the anwser your looking for

(0, 1) is the minimum! it’s the least/lowest point of the graph

The perimeter of the pentagon is 34 inches. Find the length of the side that is unknown. Explain your thinking.

Answers

Answer: side = 6.8 inches

Step-by-step explanation:

Side of pentagon = perimeter/5

= 34/5 = 6.8

What are the coordinates of the center of a circle whose equation is (x+1)^2+y^2=100?

Answers

Answer:

The center is (-1,0) and the radius is 10

Step-by-step explanation:

We can write the equation of a circle as

(x-h)^2 + (y-k)^2 = r^2

where the center is (h,k) and the radius is r

(x+1)^2+y^2=100

(x - -1)^2+(y-0)^2=10^2

The center is (-1,0) and the radius is 10

Answer:

radius = 10

center = (- 1, 0)

Step-by-step explanation:

eqn. of the circle = (x - h)^2 + (y - k)^2 = r^2

= (x + 1)^2 + y^2 = 100

(x - (-1))^2 + (y - 0)^2 =10^2

The center is (- 1, 0) and the radius is 10

Hope this helps!

Help pure people pls get brainliest

Answers

Answer:

hi there!

The correct answer is: 5

Step-by-step explanation:

The distance formula: [tex]\sqrt{(x1-x2)^{2} + (y1-y2)^{2} }[/tex]

and since the two points given are: (2,1) and (5,5)

you plug in the points and you get: 5

[tex]\sqrt{(2-5)^{2} + (1-5)^{2} }[/tex]

[tex]\sqrt{(-3)^{2} + (-4)^{2} }[/tex]

[tex]\sqrt{9+16}[/tex]

[tex]\sqrt{25 } = 5[/tex]

Answer:

The correct answer is five

Step-by-step explanation:

The slope is 4/3 and since  the distance can be found by creating a triangle we can just assume it is 5 because of Pythagorean triples

Write y = 2/3 x+ 7 in standard form using integers.

Answers

Answer:

Step-by-step explanation:

y=2/3 x+7

multiply by 3

3y=2x+21

2x-3y+21=0

or 2x-3y=-21

4−2(x−5)=x−19? Help

Answers

Answer:

x=11

Step-by-step explanation:

Start by distributing:

4-2(x-5)= x-19

4-2x+10= x-19

Add 19 and 2x to both sides (the -19 and -2x will turn into 0)

4+10+19= 2x+x

Add 4+10+19

33= 3x

Divide by 3

x=11

The chemicals in my swimming pool use a ratio of 2 tablets of chlorine for every 5 days. Which ratio shows the number of chlorine tablets needed for 20 days? A. 5 to 20 B. 8 to 20 C. 7 to 20 D. 3 to 20

Answers

Answer:

The answer would be B. 8 to 20

Step-by-step explanation:

You use 2 tablets per 5 days and there are 20 days 5/20=4 4 times you need to add tablets 4 times 2 is 8 which would make the ratio 8 to 20. Hope this helped. :)

Answer:

B

Step-by-step explanation:

Works on edge 2021

A quadrilateral has 2 angles that measure 75 degrees each, and one angle measures 150 degrees. What is the measurement of the 4th angle?
please answer fast and stay safe

Answers

Answer:

60 degrees

Step-by-step explanation:

A quadrilateral is a four-sided polygon, meaning that all four interior angles have to add up to 360 degrees. You already know that the other three angles add up to 300, so the last angle has to be 60 degrees.

Answer:

x = 60

Step-by-step explanation:

The sum of the angles of a quadrilateral are 360

75+75+150+x =360

Combine like terms

300 +x = 360

Subtract 300 from each side

300+x-300= 360-300

x = 60

Pls Need Help!
Triangle Q S R. Angle Q is 98 degrees and angle R is 37.6 degrees. Triangle T U V. Angle U is 98 degrees and angle V is 37.6 degrees.

Which statement is not true about these triangles?
A. ∠Q ≅ ∠T based on the third angle theorem.
B. ∠S corresponds to ∠V.
C. ∆QRS ~ ∆TVU based on the angle-angle criterion.
D. ∆RQS ~ ∆VTU based on the angle-angle criterion.

Answers

Answer:  ∠S corresponds to ∠V.

The solution is Option B.

The measure of angle ∠S corresponds to ∠V

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the first triangle be ΔQSR

Let the second triangle be ΔTUV

Now , the measure of ∠Q = 98°

The measure of ∠R = 37.6°

The measure of ∠U = 98°

The measure of ∠V = 37.6°

So , the measure of the third side of the triangles is

The measure of ∠S = measure of ∠T = 180 - ( 98 + 37.6 )

The measure of ∠S = measure of ∠T = 44.4°

And , ∆QRS ~ ∆TVU based on the angle-angle criterion

So , ∠Q ≅ ∠T based on the third angle theorem

And , ∆RQS ~ ∆VTU based on the angle-angle criterion

Hence , the false statement is ∠S corresponds to ∠V.

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ6

A football player runs 10.7 m/s toward the end zone. If he runs for 3.7
seconds how far does he get?

Answers

Answer:

39.59

Step-by-step explanation:

a matinee ticket costs $6 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who saw a movie was 35, and the total money collected was $70. which of the following options represents the number of adults who saw a movie that day, and the pair of equations that can be solved to find the numbers?

Answers

Answer:

The number of adults who saw a movie that day is 7

and

the pair of equations that can be solved to find the numbers is

6x+y = 70

x + y = 35

Step-by-step explanation:

Let the total no. of adults who saw the move be x

Let the total no. of child who saw the move be y

Given that the total number of adults (a) and children (c) who saw a movie was 35

thus. x + y = 35

cost of ticket for 1 adult = $6

cost of ticket for 1*x  adult = $6*x = $6x

cost of ticket for x  adult = $6x

cost of ticket for 1 child = $1

cost of ticket for 1*y  child = $1*y = $y

cost of ticket for y  child =  $y

Total cost for  x adult and y child = $(6x+y)   _______(2)

Given that he total money collected was $70

Thus, we have two equations

6x+y = 70  -------(1)

x + y = 35

y = 35 - x  (using this value of y in equation 1 we have)

6x + 35 - x = 70

=> 5x = 70 -35 = 35

=> x = 35/5 = 7

The number of adults who saw a movie that day is 7

and

the pair of equations that can be solved to find the numbers is

6x+y = 70

x + y = 35

Jori has 7 boxes of books, with each box holding the same number of books. He has 126 books in all. How many books are there per box?

Answers

Answer:

18 books per box

Step-by-step explanation:

This is a division problem, in order to find out how many books per box divide the amount of books by the amount of boxes. 126 divided by 7 is 18.

Answer:

[tex]18[/tex] books per box.

Step-by-step explanation:

To figure out out many books are in each box, divide the total amount by how many boxes there are.

[tex]126/7=18[/tex]

There are 18 books in each box.

:)

A 23 foot long piece of wood is leaning against the wall of a house. If the angle of elevation at the base

of the wood to the wall is 75 degrees , how far is the wood from the base of the wall?

Answers

Answer:

22.22 feet

Step-by-step explanation:

The piece of wood forms the shape of a right angled triangle with the wall of the house and the floor.

The piece of wood is 23 feet long and it is the hypotenuse.

The angle of elevation of the wood is 75° and we are to find the length of the wood to the base of the wall. Let that be y.

Using trigonometric function SOHCAHTOA:

sin(75) = x/23

=> x = 23 * sin(75)

x = 22.22 feet

The wood is 22.22 feet far from the base of the wall.

Please help, due tomorrow

Answers

Answer:

E. CI = 102.79

Sara is moving into a new apartment. The Resort complex charges a $600 security
deposit and costs $950 a month for rent. The Uptown Suites Duplex charges a $300
security deposit and costs $1100 a month for rent. After how many months would the
apartments cost the same amount? Which apartment would you recommend Sara move
to if she plans on staying for 6 months? Please show work.

Answers

Answer:

The rent is the same when 2 months have passed.

If she'd live in them for 6 months, I'd recommend the resort complex, since it'd be cheaper.

Step-by-step explanation:

Sara has two options, the resort complex and the uptown suites duplex, which can be represented by functions where "c" is the cost and "t" is the number of months Sara lives on each apartment.

The Resort complex:

[tex]c_{resort}(t) = 600 + 950*t[/tex]

The Uptown Suites Duplex:

[tex]c_{uptown}(t) = 300 + 1100*t[/tex]

To find the number of months she has to live in them in a way that they have the same cost, we need to find the value of t that makes both equations equal, this is done below:

[tex]600 + 950*t = 300 + 1100*t\\1100t - 950t = 600 - 300\\150t = 300\\t = \frac{300}{150} = 2\\[/tex]

The rent is the same when 2 months have passed.

If she intends to live in them for 6 months, the cost of each are:

[tex]c_{resort}(t) = 600 + 950*6 = 6300[/tex]

[tex]c_{uptown}(t) = 300 + 1100*6 = 6900[/tex]

If she'd live in them for 6 months, I'd recommend the resort complex, since it'd be cheaper.

Alex measured the rainfall on his property to be 10.5 cm in June which he calculated to be a 35% increase compared to the previous month. how much had it rained in may explain the steps you took to turn in the solution

Answers

Answer: 3.675 cm

Step-by-step explanation:

June was 35% more compared to May

35% of 10.5 cm = 3.675 cm in May

Which of the following are square roots of the number below? Check all that
apply.
576
A.) 24
B.) -576 1/2
C.) 12
D.) -24
E.) 48
F.) 576 1/2

Answers

Answer:

A and D

Step-by-step explanation:

576 ^ 1/2 = + or - 24

simplify 2[3-5(2+1)2+5]
the last 2 is 2nd

Answers

Answer:

uydfg

Step-by-step explanation:

hkbchjsbchvuhc

Answer:

-44 im pretty sure

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