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Leya [2.2K]
2 years ago
12

HELP what is the value of x?

Mathematics
2 answers:
pochemuha2 years ago
7 0

Answer: Value of x is used to consider unknown value. The letter “x” is commonly used in algebra to indicate an unknown value. It is referred to as a “variable” or, in some cases, a “unknown.” In x + 2 = 7, x is a variable. ... A variable need not be “x,” but might be “y,” "w," or any other letter, name, or symbol

Step-by-step explanation:

sammy [17]2 years ago
3 0

Answer:

x = 16

Step-by-step explanation:

The triangle in question is an isosceles triangle which means :

m<Q = m<P and the sum of interior angles in a triangle is equal to 180

so we can find the value of x using the following equation:

5x - 2 + 3x + 3 + 3x + 3 = 180 add like terms

11x + 4 = 180 subtract 4 from both sides

11x = 176 divide both sides by 11

x = 16

You might be interested in
​Combined, there are ​Asians, Africans,​ Europeans, and Americans in a village. The number of Asians exceeds the number of Afric
yanalaym [24]

There are 123 Asians, 25 Africans, 21 Europeans and 8 Americans in the village.

To determine the number of Asians, Africans, Europeans, and Americans in the village, the following calculation must be performed:

 

  • A.S + A.F + E.U + A.M = 177
  • A.S = A.F + E.U + 69
  • E.U - A.M = 13
  • E.U = A.M + 13
  • 2A.F = E.U + A.M + 29
  • A.F + E.U + 69 + A.F + E.U + A.M = 177
  • A.F + A.M + 13 + 69 + A.F + A.M + 13 + A.M = 177
  • 2A.F + 3A.M = 177 - 13 - 13 - 69
  • E.U + A.M + 29 + 3A.M = 82
  • A.M + 13 + A.M + 29 + 3A.M = 82
  • 5A.M = 82 - 13 - 29
  • A.M = 40/5
  • A.M = 8
  • E.U = 8 + 13 = 21
  • A.F = (21 + 29) / 2 = 25
  • A.S = 177 - 25 - 21 - 8 = 123

Therefore, there are 123 Asians, 25 Africans, 21 Europeans and 8 Americans in the village.

Learn more about maths in brainly.com/question/25818763

3 0
2 years ago
3,6,11,18,27,38
MakcuM [25]

Answer:  The pattern is x^2+2

where x is the term number

Example: the 5th term is 27 because x = 5 leads to x^2+2 = 5^2+2 = 27

=================================================

Explanation:

  • The jump from 3 to 6 is +3
  • The jump from 6 to 11 is +5
  • The jump from 11 to 18 is +7
  • The jump from 18 to 27 is +9
  • The jump from 27 to 38 is +11

The pattern of jumps is: 3, 5, 7, 9, 11

Those increments are going up by 2 each time.

Since we have a consistent pattern of increments, this means that the sequence follows a quadratic model.

Quadratics are stuff like x^2+7x+10 or 3x^2-7. The leading term has an exponent of 2.

-----------

If x is the term number and y is the term itself, then we have these points

(1,3)

(2,6)

(3,11)

(4,18)

(5,27)

(6,38)

The x coordinates increase by 1 each time. The y coordinates are the terms given by your teacher.

Pick exactly 3 of those points. I'll pick the first 3.

Why 3? Because we'll have 3 unknowns to solve for, in which we'll need 3 equations.

  • Plug (x,y) = (1,3) into y = ax^2+bx+c, then simplify. You should get the equation a+b+c = 3
  • Repeat for (x,y) = (2,6) and you should get 4a+2b+c = 6
  • Repeat for (x,y) = (3,11) and you should get 9a+3b+c = 11

-----------

We have this system of equations

\begin{cases}a+b+c = 3\\ 4a+2b+c = 6\\9a+3b+c = 11\end{cases}

There are a number of methods to solve this system. Substitution is what I'll go for.

Solve the first equation for c

a+b+c = 3

c = 3-a-b

Then use substitution.

4a+2b+c = 6

4a+2b+(3-a-b) = 6

3a+b+3 = 6

3a+b = 6-3

3a+b = 3

and

9a+3b+c = 11

9a+3b+(3-a-b) = 11

8a+2b + 3 = 11

8a+2b = 11-3

8a+2b = 8

We now have this reduced system of equations.

\begin{cases}3a+b = 3\\8a+2b = 8\end{cases}

I'll skip the steps as this solution is getting very lengthy as it is. The basic idea is to use substitution again. You should find that a = 1 and b = 0 form the solution set here.

Use those values to find c

c = 3-a-b

c = 3-1-0

c = 2

-----------

To summarize the previous section, we have these solutions:

a = 1, b = 0, c = 2

Therefore the equation y = ax^2+bx+c becomes y = 1x^2+0x+2 aka y = x^2+2. This lets us find any term.

Let's test it out.

  • If x = 1, then y = x^2+2 = 1^2+2 = 3
  • If x = 2, then y = x^2+2 = 2^2+2 = 6
  • If x = 3, then y = x^2+2 = 3^2+2 = 11

And so on. I'll let you test the other x values (4 through 6).

Another way to confirm the answer is to subtract 2 from each item in the original set {3,6,11,18,27,38} and you'll end up with {1,4,9,16,25,36}. This is the list of perfect squares. It shows that term x is simply x^2 but add on 2 so things are adjusted accordingly.

Side note: you can use a tool like GeoGebra or WolframAlpha to quickly solve the system of equations. However, I recommend it only as a means to check your answer rather than do the work for you.

7 0
2 years ago
Triangles J K L and X Y Z are shown. Angles K J L and Y X Z are right angles. The length of Y X is 10. The length of hypotenuse
pickupchik [31]

ΔJKL and ΔXYZ CANNOT be congruent triangles because: the hypotenuse of one triangle is equal in length to the leg of the other triangle.

<h3>What are Congruent Triangles?</h3>

Congruent triangles are triangles whose corresponding sides are congruent to each other.

The hypotenuse of triangle JKL(KL = 10) is congruent to a leg of triangle XYZ (YX = 10). This implies that they cannot be congruent triangles.

Therefore, ΔJKL and ΔXYZ CANNOT be congruent triangles because: the hypotenuse of one triangle is equal in length to the leg of the other triangle.

Learn more about congruent triangles on:

brainly.com/question/11457412

3 0
1 year ago
What is an equation of the line that passes through the point (- 5, - 6) and is parallel to the line 4x - 5y = 35
Elena L [17]

Answer:

4x - 5y = 10

Step-by-step explanation:

Any line parallel to 4x - 5y = 35 will have the same equation EXCEPT that the constant will be different.

Starting with 4x - 5y = 35, replace x with the given x-coordinate -5 and the given y-coordinate -6, and finally the given 35 with the constant C:

4(-5) - 5(-6) = C, or

-20 + 30 = C.  Thus, C = 10, and the equation of the new line is

4x - 5y = 10

7 0
3 years ago
Bryan lives 4/5 mi from the library. Jayden lives 0.72 mi from the library. Who lives farther from the library? How much
Murrr4er [49]

Answer:

Bryan Lively Professional Records Browse Bryan's professional profiles below to see current job title, work email address, place of employment and phone number. Showing 11 of 11 Results i think

6 0
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