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
Sergeu [11.5K]
3 years ago
10

The figure shows two intersecting lines and the measures of the resulting angles. Write an equation to help you solve for x. The

n find the value of x.

Mathematics
1 answer:
Svetlanka [38]3 years ago
3 0

<u>Given</u>:

The given figure shows the intersection of the two lines.

The angles formed by the intersection of the two lines are (3x - 8)° and (2x + 12)°

We need to determine the equation to solve for x and to find the value of x.

<u>Equation to solve for x:</u>

Since, the two angles (3x - 8)° and (2x + 12)° are vertically opposite angles and the vertical angles are always equal.

Hence, we have;

3x-8=2x+12

Thus, the equation to solve for x is 3x-8=2x+12

<u>Value of x:</u>

The value of x can be determined by solving the equation 3x-8=2x+12

Thus, we have;

x-8=12

     x=20

Thus, the value of x is 20.

You might be interested in
The areas of two equilateral triangles are 27 yd2 and 75 yd2. Find the ratio of their perimeters.
Cloud [144]
If the areas of two equilateral triangles are 27 yd² and 75 yd², then the ratio of these areas is 27/75 = 9/25 

If the ratios of the areas are 9:25, then their similarity ratio and the ratio of their perimeters is √9:√35 = 3:5. 

3 : 5; 3 : 5 <==ANSWER 
8 0
3 years ago
Read 2 more answers
Harper works at an electronics store as a salesperson. Harper earns a 6% commission on the total dollar amount of all phone sale
agasfer [191]

<u>Answer:</u>

The system of equations are

x + y = 2600   …….equation (1)

and, 6x + 5y = 13700  ……equation (2)

<u>Explanation:</u>

Let x = amount of sales of phone;

y = amount of sales of computer

For phone, 6% of sales is 6% of x, or 6% * x = 0.06x.

Similarly for computer,

5% of y = 0.05y

Given the total sales; x + y = 2600

And commission; 0.06x + 0.05y = 137; or 6x + 5y = 13700

Therefore the system of equations are

x + y = 2600   …….equation (1)

6 x + 5 y = 13700  ……equation (2)

7 0
3 years ago
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive an
oksano4ka [1.4K]

Answer:

a.) dx3x² + 2

Use the properties of integrals

That's

integral 3x² + integral 2

= 3x^2+1/3 + 2x + c

= 3x³/3 + 2x + c

= x³ + 2x + C

where C is the constant of integration

b.) x³ + 2x

Use the properties of integrals

That's

integral x³ + integral 2x

= x^3+1/4 + 2x^1+1/2

= x⁴/4 + 2x²/2 + c

= x⁴/4 + x² + C

c.) dx6x 5 + 5

Use the properties of integrals

That's

integral 6x^5 + integral 5

= 6x^5+1/6 + 5x

= 6x^6/6 + 5x

= x^6 + 5x + C

d.) x^6 + 5x

integral x^6 + integral 5x

= x^6+1/7 + 5x^1+1/2

= x^7/7 + 5/2x² + C

Hope this helps

8 0
3 years ago
Write two different equations to describe each situation. a) You buy 3 identical shirts and 2 identical pairs of socks and spend
Ronch [10]

Answer:

3x + 2y = 38,  3a + 2b = 38

Step-by-step explanation:

An equation may be defined as a statement that shows two mathematical expressions to be equal. It is to equate one thing to another thing.

In the context, two different equations for the situations are :

i). Let the shirt be represented by x

   And the socks be represented by y

Therefore, according to the question,

   3x + 2y = 38

ii). Let the shirt be represented by a

   And the socks be represented by b

Therefore, according to the question,

   3a + 2b = 38

7 0
3 years ago
Write an<br> expression that is equivalent to -0.5(20f – 16).
pashok25 [27]

Answer:

  • - 10f + 8

Step-by-step explanation:

<u>Given expression:</u>

  • - 0.5(20f - 16)

<u>Distribute and simplify:</u>

  • -0.5(20f) - 0.5(- 16) =
  • - 10f + 8
6 0
2 years ago
Read 2 more answers
Other questions:
  • The number of hours per day a college student spends on homework has a mean of 6 hours and a standard deviation of 1.25 hours. Y
    9·1 answer
  • What is an rational number
    8·2 answers
  • Find a cofunction with the same value as tan 52°.
    9·1 answer
  • The braking distance, D, of a car is directly proportional to the square of its speed, v. When d=5, v=10
    7·1 answer
  • 8(c − 12) = −40<br><br> (:3」∠)_ Dem legz
    8·1 answer
  • in cooking, 1 drop is equal to 1/6 of a dash. if a recipe calls for 2/3 of a dash, write an expression that would give the numbe
    14·1 answer
  • I'LL GIVE YOU 35 POINTSSS HELP MEEE I NEED ASSISTANCE
    7·1 answer
  • Y’all please help on these 2 questions !! asap
    8·1 answer
  • Plz HELP!!!!!! NO LINKS!!!!!!!!!!!!!!!!!!!!
    6·1 answer
  • How old are yall?............
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!