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
Alja [10]
3 years ago
12

Given m|n, find the value of x and y.

Mathematics
1 answer:
galben [10]3 years ago
5 0

We know that m ║ n.

Let's first find the value 'x'.

When two lines are parallel, and a transversal is drawn, the angles on the same side of the transversal are equivalent.

This means that (5x + 16)° and (7x + 4)° are equivalent.

Equating them,

5x + 16 = 7x + 4

16 - 4 = 7x - 5x

12 = 2x

x = 12/2

x = 6°

Since we know the value of 'x', let's substitute them into the angles and find out the actual measurements.

5x + 16 = 5 × 6 + 16 = 30 + 16 = 46°.

7x + 4 = 7 × 6 + 4 = 42 + 4 = 46°.

Now let's find the value of 'y'.

If you observe carefully, (7x + 4)° and (y + 6)° form a linear pair.

This means that both those angles should add upto 180°.

Using that theory, the following equation can be framed:

(y + 6)°+ (7x + 4)° = 180°

Since we know the actual value of (7x + 4)°, let's substitute that value and move ahead.

(y + 6)° + 46° = 180°

y + 6 + 46° = 180

y + 52° = 180°

y = 180° - 52°

y = 128°

Therefore, the values of 'x' and 'y' are 46° and 128° respectively.

Hope it helps. :)

You might be interested in
Does anyone how to solve this sum? It’s urgent
Galina-37 [17]

The required value for the sum is 9580.


\frac{10000}{(1+\frac{0.115}{4})^2}+68\frac{1-\frac{1}{(1+\frac{0.115}{4})^2}}{\frac{0.115}{4}}

<h3>What is simplification?</h3>

Simplification in mathematics to solve the given condition on its operators.


\frac{10000}{(1+\frac{0.115}{4})^2}+68\frac{1-\frac{1}{(1+\frac{0.115}{4})^2}}{\frac{0.115}{4}}

= \frac{10000}{1.028^2} +68*\frac{1-\frac{1}{1.028^2} }{\frac{0.115}{4} } \\9451+68*\frac{1-0.94}{\frac{0.115}{4} } \\\\9451+68*\frac{0.054}{\frac{0.115}{4} } \\\\\\9451+3.72{\frac{4}{0.115} } \\\\\\9451+129\\

= 9580


The required solution is given as 9580.

Learn more about simplification here:
brainly.com/question/9218183

#SPJ1

4 0
2 years ago
Use the given information to write an equation and solve the problem.<br> (28-31 in the picture)
tia_tia [17]

Answer:

28. 120 degrees

29. 30 degrees

30. 56 degrees & 124 degrees

31. 72 degrees, 108 degrees, and 18 degrees

Step-by-step explanation:

We assign variable x for the answer we are looking for (28-29).

28.

Supplement means x + y = 180 degrees. We also know x = 2y. Substitution gives us 3y = 180 degrees, so y = 60 degrees and x = 120 degrees.

29.

Complement means x + y = 90 degrees. We are given 2x = y. Substitution brings us 3x = 90 degrees, x = 30 degrees.

30.

Supplement means x + y = 180 degrees. We are told that y = 2x + 12, so we substitute. This gives 3x + 12 = 180 degrees, x = 56 degrees. Substituting that back into the equation for y, we get 124 degrees.

31.

Supplement means x + y = 180 degrees. Complement means x + z = 90 degrees.  Using our given info, we know y = 6z. We can substitute that in to get x + 6z = 180. Subtracting our second and third equations, we get 5z = 90, z = 18 degrees.  Therefore, x = 72 degrees, y = 108 degrees.

3 0
2 years ago
Read 2 more answers
Which expression represents h(x)?
blsea [12.9K]

Answer:

(g-f)x is the answers for the question

Step-by-step explanation:

please give me brainlest and follow me

3 0
2 years ago
If all the dimensions of a cube are doubled, then the new volume is___ times greater.
vichka [17]
The formula for finding the volume of a cube is s^{3}, where s is the side length.

The formula for a cube with each side length doubled is (2s)^{3}, or 8<span>s.

</span><span>If all the dimensions of a cube are doubled, then the new volume is eight times greater.</span>
8 0
3 years ago
Read 2 more answers
What Numbers Go Into 515 ? 
Pavel [41]
5 will go into 515, 103 times.
3 0
3 years ago
Other questions:
  • State the various effect of force
    7·1 answer
  • What is the slope of the line?<br><br> A. 2/5<br> B. -2/5<br> C. 5/2<br> D. -5/2
    6·2 answers
  • A regular octagon has a perimeter of 48 cm. What is the length of each side?
    15·2 answers
  • If Anna gives Me half of her pumpkins and Coral half of whats left and she ends with 6 how many pumpkins did she start with?
    12·2 answers
  • Find the perimeter of the polygon with the given vertices.
    10·1 answer
  • A salesperson earns a weekly salary of ​$800 plus a commission rate of 4​% on all sales. what did the salesperson make for a wee
    13·1 answer
  • The first ten terms of a sequence whose first term is -10 and whose common difference is -2.
    15·1 answer
  • X + 3y = 18<br> -X - 4y = -25
    12·2 answers
  • Which set of points is a function?
    12·1 answer
  • How to solve this problem for my algebra class
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!