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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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The perimeter of a rectangle is 56 inches. The rectangle is 20 inches long. How wide is the rectangle?
Mamont248 [21]

Answer:

The answer is A 8 inches

Step-by-step explanation:

If the perimeter is 56 inches and it is 20 inches long, then you would multiply 20 by two and get 40, then you subtract 40 from 56 and get 16. Finally, you divide 16 by two and get 8. So, A 8 inches will be your answer.

5 0
2 years ago
If there are 19 questions and each question has 4 answers, what is the probability she will answer at least one question correct
gregori [183]

Answer:

0.9958

Step-by-step explanation:

P(being correct) = 1/4 = 0.25

Hence, p = 0.25

n = 19

P(x ≥ 1) = p(x = 1) + p(x = 2) +... + p(x = 19)

Using the binomial probability formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

However, to save computation time, we could use a calculator :

Using a calculator,

P(x ≥ 1) = 0.99577

P(x ≥ 1) = 0.9958

7 0
2 years ago
If a function rule is 3n-2 what is the output for an input of 2
nikdorinn [45]
F(n)=3n-2
Plug in 2 for n. f(2)=3(2)-2=4
3 0
2 years ago
Hewo helppT-T pwease :3<br><br> 2/5+____= 11/15
ArbitrLikvidat [17]

Answer:

1/3 is the answer

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
pantera1 [17]

Answer:

-5/2 x -33/4

Step-by-step explanation:

(-11/2 x + 3) -2 (-11/4 x -5/2)

(-11/2 x + 3/1) -2 (-11/4 x -5/2)

The LCM of 2 and 1 is 2, and the LCM of 4 and 2 is 4.

(-11/2 x + 6/2) -2 (-11/4 x -20/4)

( -5/2x) -2 (-31/4)

-5/2x -2 -31/4

-5/2x -2/1 -31/4

LCM of -2 -31/4 is 4

-2/4 -31/4

-33/4

-5/2x -33/4 in simplest form.

4 0
2 years ago
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