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
user100 [1]
4 years ago
5

Please help with this problem

Mathematics
1 answer:
Reil [10]4 years ago
7 0

Measure of one of the vertical angle is 156°

Solution:

The measure of angles given are (x + 104)° and 3x°.

The given angles are vertical in order.

If two lines meet at a point, then the angle formed in vertical positions are equal.

That is vertically opposite angles are equal.

⇒ 3x° = (x + 104)°

⇒ 3x° = x° + 104°

Subtract x° on both sides of the equation to equal the expression,

⇒ 3x° – x° = x° + 104° – x°

⇒ 2x° – x° = 104°

⇒ 2x° = 104°

Divide both sides of the expression by 2, we get

⇒ x° = 52°

Substitute x° = 52° in one of the vertical angle.

3x° = 3 × 52° = 156° (or)

x° + 104° = 52°+ 104° = 156°

Hence the measure of one of the vertical angle is 156°.

You might be interested in
Aria had $20 in her savings account. She went through $10. What is the balance of your savings account now?
Elena L [17]
Subtract 20 and 10. To get your answer
3 0
3 years ago
Find the quotient. Round to the nearest hundredth,5,434 divided by 12
Volgvan

Answer:

452.83

Step-by-step explanation:

5 0
3 years ago
Mrs. Boyer is shopping for school supplies with her children. Jesse selected 3 one-inch binders and 3 two-inch binders, which co
Alex73 [517]

Answer: the cost of 1 one-inch binder is $4

the cost of 1 three-inch binder is $7

Step-by-step explanation:

Let x represent the cost of 1 one-inch binder.

Let x represent the cost of 1 three-inch binder.

Jesse selected 3 one-inch binders and 3 two-inch binders, which cost a total of $33. This means that

3x + 3y = 33 - - - - - - - - - - 1

Luann selected 2 one-inch binders and 1 two-inch binder, which cost a total of $15. This means that

2x + y = 15 - - - - - - - - - - - 2

Multiplying equation 1 by 2 and equation 2 by 3, it becomes

6x + 6y = 66

6x + 3y = 45

Subtracting, it becomes

3y = 21

y = 21/3 = 7

Substituting y = 7 into equation 2, it becomes

2x + 7 = 15

2x = 15 - 7 = 8

x = 8/2 = 4

3 0
4 years ago
Zoe is solving the equation 3x-4=-10 for x solving for x
Arada [10]

Answer:

x = -2

Step-by-step explanation:

Solve for x:

3 x - 4 = -10

Add 4 to both sides:

3 x + (4 - 4) = 4 - 10

4 - 4 = 0:

3 x = 4 - 10

4 - 10 = -6:

3 x = -6

Divide both sides of 3 x = -6 by 3:

(3 x)/3 = (-6)/3

3/3 = 1:

x = (-6)/3

The gcd of -6 and 3 is 3, so (-6)/3 = (3 (-2))/(3×1) = 3/3×-2 = -2:

Answer:  x = -2

8 0
3 years ago
Read 2 more answers
The question in the picture
AleksandrR [38]

Answer:

i think its d...

6 0
3 years ago
Other questions:
  • Please help me with math
    9·2 answers
  • 4) The frame is being enlarged to hang on a gallery wall. Using the scale factor of 1in=2.5ft., give the new dimensions of the o
    7·1 answer
  • What is -3 the sum of 5
    7·1 answer
  • Evaluate the algebraic expression 4y + x - w, when w = 12, x = 10, y = 5 a
    12·2 answers
  • At the district competition for 5th grade jump-roper of the year, the following number of jumps without stopping were recorded p
    12·1 answer
  • Find the surface area of the figure.<br> 13.5 m m<br> 2<br> 9 m<br> 9 m
    11·1 answer
  • Can someone tell me what the upper and lower quartile of these are
    11·1 answer
  • Help ASAP
    14·1 answer
  • If u answer them all ill give 50 points
    14·1 answer
  • Due tomorrow plz help me
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!