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
Rus_ich [418]
3 years ago
12

Using the following image , find the value for x

Mathematics
1 answer:
Phantasy [73]3 years ago
8 0

Step-by-step explanation:

Here, two angles i.e, (x + 13)° and (4x + 2)° are forming a straight line, thus the sum of these two angles will be 180° because they are forming a linear pair.

\longrightarrow (x + 13) + (4x + 2) = 180°

\longrightarrow x + 13 + 4x + 2 = 180°

\longrightarrow 5x + 15 = 180°

\longrightarrow 5x = 180° ― 15

\longrightarrow 5x = 165°

\longrightarrow x = 165° ÷ 5

\longrightarrow x = 33°

Therefore, the value of x is 33°.

<u>Quick Check!</u>

\longrightarrow x + 13

\longrightarrow (33 + 13)°

\longrightarrow 46°

And, another angle :

\longrightarrow (4x + 2)°

\longrightarrow {4(33) + 2}°

\longrightarrow (132 + 2)°

\longrightarrow 134°

<u>★</u><u> </u><u>Sum</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>angles</u><u> </u><u>should</u><u> </u><u>be</u><u> </u><u>1</u><u>8</u><u>0</u><u>°</u><u> </u><u>:</u>

\longrightarrow (x + 13) + (4x + 2) = 180°

\longrightarrow 46° + 134° = 180°

\longrightarrow 180° = 180°

L.H.S = R.H.S, hence verified!

You might be interested in
What is 5.27 × 1021 expressed in standard notation?
Strike441 [17]
The standard notation would be 5,380.67. Hope this helps!<span />
5 0
3 years ago
Read 2 more answers
Please help asap!! BRAINLIEST to best/right answer!
deff fn [24]
Q: What is the value of the upper quartile?

A: C 9


Hope this helps!!!
6 0
3 years ago
Read 2 more answers
How do you find a missing exponent? If the question is 2^3 x 2^5 = 2^?
kap26 [50]

Answer:

2^3 X 2^5 = 2^8

when multiplying indices with the same base number just add the indices

4 0
2 years ago
Which statements about the system are true? Check all that apply. y =1/3 x – 4 3y – x = –7 The system has one solution. The syst
fredd [130]

Answer:

The true statements are:

- The system consists of parallel lines

- Both lines have the same slope

Step-by-step explanation:

* Lets talk about the solution of the linear equations

- There are three types of the solutions of the system of linear equations

# If the two lines intersect each other, then there is one solution

- The equations are ax+ by = c , dx + ey = f

# If the two lines parallel to each other, then there is no solution

- The equations are ax+ by = c , ax + by = d in its simplest form ,

  where a is the coefficient of x , b is the coefficient of y and

  c , d are the numerical terms

# If the two lines coincide (over each other), then there are infinite

   solutions

- The equations are ax+ by = c , ax + by = c in its simplest form, where

  a is the coefficient of x , b is the coefficient of y and c is the

  numerical term

* Lets solve the problem

∵ The system of equation is:

   y = 1/3 x - 4 ⇒ (1)

   3y - x = -7 ⇒ (2)

- Lets put equation (1) in the form of equation (2)

∵ y = 1/3 x - 4 ⇒ multiply both sides by 3

∴ 3y = x - 12 ⇒ subtract x from both sides

∴ 3y - x = -12

∴ Equation (1) is 3y - x = -12

∵ Equation (2) is 3y - x = -7

∵ The coefficients of x and y in the two equation are equal

∵ The numerical terms in the two equations are not equal

∴ The equations have no solution because their lines are parallel

∵ The parallel lines have same slope

* The true statements are

- The system consists of parallel lines

- Both lines have the same slope

7 0
3 years ago
Read 2 more answers
6. The speed of the Mississippi River near New Orleans is about 4.8 km/h.
Misha Larkins [42]
4800 meters per 60 minutes Divide 4800 meters by 60 minutes 80meters per minute
4 0
3 years ago
Other questions:
  • Anya found the slope of the line that passes through the points (–7, 4) and (2, –3). Her work is shown below. Let (x2, y2) be (–
    7·2 answers
  • I am 13 more than 52. What number am I
    8·2 answers
  • It costs a family of two $25 to go to the state fair, and a family of six $65. Find the equation, rate of change, and initial va
    14·1 answer
  • Name three numbers that would be placed between these two numbers on a number line 5.89 and 5.9
    8·1 answer
  • K + 11 = -3k- 25 + 2k
    13·2 answers
  • Please find X............
    12·1 answer
  • A survey is conducted to find out the average number of hours
    8·1 answer
  • A student selecting 3 classes for Winter quarter there are 4 drawing and design courses 3 general education courses and 3 other
    7·1 answer
  • HELPPPPP PLSSSS!!!! You start at (-2, 3). You move up 1 unit and right 3 units. Where do you end? sp 4 3 2 1 X -5 -4 -3 -2 -1 0
    10·2 answers
  • What are the solutions to this system of equations?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!