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VARVARA [1.3K]
3 years ago
12

Find the value of x .

Mathematics
2 answers:
ohaa [14]3 years ago
7 0

Answer:

x=18

Step-by-step explanation:

(4x-11)\\(2x+25)

According to the Alternate Exterior Angles Theorem, "when two lines are cut by a transversal, the resulting alternate exterior angles are congruent."

This means that the two expressions above are to be set equal to each other because they are representative of two alternate exterior angles, which are congruent:

4x-11=2x+25

Add 11 to both sides of the equation:

4x=2x+36

Subtract 2x from both sides of the equation:

2x=36

Divide both sides of the equation by the coefficient of x, which is 2:

x=18

~

Check your work by substituting 18 for x in the initial equation:

4(18)-11=2(18)+25

61=61

It's correct!

zlopas [31]3 years ago
3 0

Answer:

18

Step-by-step explanation:

From the given figure, we can see that angle (4x - 11) will be equal to angle 1 since they are corresponding angles

We notice that angle 1 is vertically opposite to angle (2x + 25)

Hence,

angle (4x - 11) = angle 1 = angle (2x + 25)

So, we can say that angle (4x - 11) = angle (2x + 25)

Now, solving for x:

4x - 11 = 2x + 25

2x = 36

x = 18

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Rksheet
VLD [36.1K]

See below for the terms, coefficients, and constants in the variable expressions

<h3>How to determine the terms, coefficients, and constants in the variable expressions?</h3>

To determine the terms, coefficients, and constants, we use the following instance:

ax + by + c

Where the variables are x and y

  • Then the terms are ax, by and c
  • The coefficients are a and b
  • The constant is c

Using the above as guide, we have:

A) 2b + 2ac+5

  • Terms: 2b, 2ac, 5
  • Coefficient: 2, 2 and 5
  • Constant 5

B) 34abx + 16y +1

  • Terms: 34abx, 16y, 1
  • Coefficient: 34ab, 16
  • Constant: 1

C) st +4u + v

  • Terms: st, 4u, v
  • Coefficient: 4

D) 14xy + 6

  • Terms: 14xy, 6
  • Coefficient: 14, 6
  • Constant 6

E) 14x + 12y

  • Terms: 14x, 12y
  • Coefficient: 14, 12

F) 3+ 6-7+a

  • Terms: 3, 6, -7, a
  • Coefficient: 1
  • Constant: 3, 6, -7

Read more about terms, coefficients, and constants at:

brainly.com/question/14625487

#SPJ1

5 0
1 year ago
LING'S HALLWAY IS 10 FEET LONG AND 4 FEET WIDE. HE PAID $200 TO TILE HIS HALLWAY FLOOR. HOW MUCH DID LING PAY PER SQUARE FOOT FO
ivanzaharov [21]

Answer:

5

Step-by-step explanation:

10x4/200=5

5 0
3 years ago
45 divided by 2531 HELP IDK HOW TO DO THIS.
SpyIntel [72]
 0.017779534 because you just divide it
3 0
3 years ago
What is the x value 5x+8-3x=-10
otez555 [7]
5x + 8 - 3x = 10
First you can combine the like terms.
5x - 3x + 8 = 10
2x + 8 = 10
     - 8     - 8
2x = 2
\frac{2x}{2} =  \frac{2}{2}
x=1
3 0
3 years ago
Read 2 more answers
What is the vertex of the parabola represented by y = - x^2 + 6x – 5?
Katena32 [7]
Your vertex would be (3,4)
6 0
3 years ago
Read 2 more answers
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