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
ololo11 [35]
1 year ago
9

Find the value of x in the diagram below. x =

Mathematics
2 answers:
padilas [110]1 year ago
7 0

Answer:

x = 79°

Step-by-step explanation:

The arrows on the line segments indicate that the lines are <u>parallel</u>.

As the parallel line segments are the <u>same length</u>, the other pair of opposite line segments are also parallel and the same length.  Therefore, we can apply the Alternate Interior Angles Theorem.

<u>Alternate Interior Angles Theorem</u>

If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent.

Therefore, the missing angle in the triangle including angle x is 28°.

Interior angles of a triangle sum to 180°

⇒ 73° + 28° + x = 180°

⇒ x = 180° - 73° - 28°

⇒ x = 79°

zepelin [54]1 year ago
3 0

Answer:

x=101

Step-by-step explanation:

Fun angles......................

You might be interested in
The augmented matrix of a system of equations has been transformed to an equivalent matrix in​ row-echelon form. Using​ x, y
jenyasd209 [6]

Answer: The system of equations is:

x + 2y + 2 = 4

y - 3z = 9

z = - 2

The solution is: x = -22; y = 15; z = -2;

Step-by-step explanation: ONe way of solving a system of equations is using the Gauss-Jordan Elimination.

The method consists in transforming the system into an augmented matrix, which is writing the system in form of a matrix and then into a <u>Row</u> <u>Echelon</u> <u>Form,</u> which satisfies the following conditions:

  • There is a row of all zeros at the bottom of the matrix;
  • The first non-zero element of any row is 1, which called leading role;
  • The leading row of the first row is to the right of the leading role of the previous row;

For this question, the matrix is a Row Echelon Form and is written as:

\left[\begin{array}{ccc}1&2&2\\0&1&3\\0&0&1\end{array}\right]\left[\begin{array}{ccc}4\\9\\-2\end{array}\right]

or in system form:

x + 2y + 2z = 4

       y + 3z = 9

               z = -2

Now, to determine the variables:

z = -2

y + 3(-2) = 9

y = 15

x + 30 - 4 = 4

x = - 22

The solution is (-22,15,-2).

4 0
3 years ago
Find the sum of a finite arithmetic sequence from n = 1 to n = 10, using the expression 3n − 8.
maw [93]

Answer:

The answer is 85

Step-by-step explanation:

The equation used to find the sum of an arithmetic series is: (n/2) * (a1 + an).

n in this case is 10 (the number of numbers in the series)

an is 22 (plug in 10 to the expression 3n-8)

and a1 is -5 (plug in 1 to the expression 3n-8)

so when you plug everything in to the final equation, you get

(10/2) * (-5 + 22)

5 * 17

85

8 0
3 years ago
Anna bought a skirt on sale at a clothing store for $54.48. The original price of this skirt was $72.64. She is interested in a
Basile [38]
$115.45 This should be the correct answer. Hope this help need brainlest.
6 0
3 years ago
Read 2 more answers
The table shows the lowest elevations in some countries.
Keith_Richards [23]

Answer:

Hungary

Step-by-step explanation:

Just did the question

4 0
2 years ago
Convert a fraction to simplest form
irakobra [83]

Answer:

Ok so I made up a fraction 7/5

!         The result can be shown in multiple forms.

Exact Form:

7/6

Decimal Form:

1.16

Mixed Number Form:

1 1/6

5 0
3 years ago
Other questions:
  • Use the arc length formula to find the length of the curve y = 5x − 1, −3 ≤ x ≤ 2. Check your answer by noting that the curve is
    8·1 answer
  • Which of the following is an example of increasing both current liability and use assets?
    12·2 answers
  • Jerry started doing sit-ups every day. The first day he did 13 sit-ups. Every day after that he did 2 more sit- ups than he had
    13·1 answer
  • Plz help ASAP!!!!!!!!!!!!!
    11·1 answer
  • 3 out of five picks are orange . If 12 picks are orange , how many picks are there in all?
    14·1 answer
  • Please answer this question now
    13·2 answers
  • A treadmill cost $2.199 with 6.3% sales tax
    6·1 answer
  • HELP !!!!! HELP !! NEED HELP!! ARITHMETIC SEQUENCE
    15·1 answer
  • 3. The graph f(x) = -x - is shown below.
    15·1 answer
  • Determine if the two triangles are congruent. If they are, state how you know.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!