1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kari74 [83]
3 years ago
11

Find the value of x that makes m ∥ n

Mathematics
2 answers:
AURORKA [14]3 years ago
5 0
Those two angles are alternate interior angles, so they must be congruent.

3x = 2x + 20

x = 20
Alex73 [517]3 years ago
4 0

Answer:

The value of x that makes m || n is x = 20

Step-by-step explanation:

Given a line that is intersected by another two lines (for example line ''m'' and line ''n'' like in the exercise) one of the conditions that makes m || n is that the alternate interior angles must be congruent. Understanding that congruent means the same.

In the exercise, one pair of alternate interior angles are (2x+20)° and 3x°.

We need this two angles to be congruent ⇒ 3x=2x+20

Solving this for ''x'' :

3x=2x+20\\3x-2x=20\\x=20

The value of x that makes 3x° congruent to 2x+20° (that makes the alternate interior angles congruents) is x = 20

You might be interested in
Which number can you add to any rational number to obtain an irrational number?
Mars2501 [29]
I think any irrational number would do this? I'm not positive though. Some examples may be pi or the square root of 2.
3 0
3 years ago
Han ran 10 meters in 2.7 seconds. Priya ran 10 meters in 2.4 seconds. How long would it take han to run 50 meters.
Lina20 [59]

Hans would take 13.5 seconds to run 50 meters

Priya would take 12 seconds to run 50 meters

--------------------------------------------------------------------------------

Since they each ran 10 meters for a certain amount of time you would multiply the seconds by 5 since 10x5=50

When you do that you get

13.5 for Han's time by multiplying 2.7x5=13.5

and

12 seconds for Priya's time by multiplying 2.4x5

3 0
3 years ago
Find the inverse function of h(x)=2x-1/3
Ksenya-84 [330]
To find inverse, you switch x and y, and solve for y
Original: y=2x-1/3
Now: 
x=2y-1/3
x+1/3=2y
(x+1/3)/2=y
y=\frac{x+ \frac{1}{3} }{2}
7 0
3 years ago
Please answer asap will give the highest points possible
natali 33 [55]
Let cheese wafers = x
chocolate wafers = y

we know they bought 20 total packets so x+y = 20, this can be re-written as x = 20-y

cheese wafers cost 2, so we have 2x
chocolate wafers cost 1, so we have 1y, which is just the letter y

so we know 2x + y = $25

replace x with x=20-y to get:

2(20-y)+y = 25

distribute the parenthesis:

40-2y +y = 25

combine like to terms to get:
40-y = 25

subtract 40 from each side"
-y = -15

divide both sides by -1
y = 15

chocolate wafers was y so they bought 15 chocolate wafers
cheese wafers was x, so they bought 20-15 = 5 cheese wafers
 
using the substitution method was the easiest way to isolate one of the variables in order to find the solution.



6 0
3 years ago
Read 2 more answers
Divided 80 by my number, and then added 13. The result was 93. What was my number?
igor_vitrenko [27]

The number is 6400.

We have given that,

divided 80 by my number, and then added 13.

<h3>What is the expression?</h3>

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Suppose the number is x

\frac{x}{80}+13=93

Subtract  13  from both sides

\frac{x}{80}+13-13=93-13

\frac{x}{80}=80

Multiply both sides by 80

\\\frac{80x}{80}=80\cdot \:80

x=6400

Therefore the number is 6400.

To learn more about the number visit:

brainly.com/question/251701

#SPJ1

4 0
2 years ago
Other questions:
  • Which expression is equivalent to 15a^8b^4/5a^4b
    14·2 answers
  • At a lumber company, shelves are sold in 4 types of wood, 3 different widths and 3 different lengths. How many different types o
    11·1 answer
  • In order to create the negation of conditional statement "If p then q", it needs to be changed to read
    8·2 answers
  • A truck covers a distance of 150 km at a certain average speed and then covers another 200 km at an average speed which is 20 km
    12·1 answer
  • Are irrational numbers always/sometimes/never rational number?
    6·1 answer
  • Cassandra used 2.8lb of groun can Sandra news 2.8 lbs of ground beef in a recipe for hamburger me about how many kilograms what
    7·1 answer
  • Round to the nearest eurocent per kilo
    5·1 answer
  • What is 1/5 times 24 as a estimate?
    10·2 answers
  • Help I have 10 minutes left <br> 55<br> 15x + 5<br> 8<br> 09<br> 0.7<br> O 3,3
    12·1 answer
  • You are saving money for a new bicycle, which costs $85.99. So far you have saved $47.52. How much mor do you need before you ca
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!