4.57 rounded to the nearest whole number is 5
Based on the definition of congruent angles, the value of x is: 23.
<h3>What are Congruent Angles?</h3>
Congruent angles have the same measure. Examples of angles that are congruent are:
- Alternate interior angles
- Alternate exterior angles
- Corresponding angles
Thus:
(5x + 16) = (6x - 7) -- congruent angles
Combine like terms
5x - 6x = -16 - 7
-x = -23
x = 23
Therefore, based on the definition of congruent angles, the value of x is: 23.
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The resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.
According to the given question.
We have an equation
So, to find the resulting equation of the above equation we need to simplify.
First we will take LCD
Multiply both the sides by x.
Again multiply both the sides by x
Factorize the above equation
⇒3x(x+6)+2(x+6) = 0
⇒(3x + 2)(x+6) = 0
⇒ x = -2/3 or x = -6
Hence, the resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.
Find out more information about equation here:
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Answer:
x = 9.5
Step-by-step explanation:
We see that the entire length of DF is equal to 34. That means segment DE and segment EF must combine to equal 34:
3x - 6 + x + 2 = 34
4x - 6 + 2 = 34
4x - 4 = 34
4x = 38
x = 9.5
Answer:
30
Step-by-step explanation:
Well we know the first angle is 90 degrees, which means we have 90 degrees left to work with. Then, the top angle would be 60 degrees, because there is a straight line (which of course has to equal 180), so 180-120 = 60. Now, 90-60=30!
