In the given diagram, the value of AC is 24. The correct option is B. 24
<h3>Properties of rectangle </h3>
From the question, we are to determine the value of AC
From one of the properties of a rectangle, we have that
The diagonals of a rectangle are equal and bisect each other.
Then, in the given diagram
AC = DB
Thus,
3x - 6 + 3x - 6 = 2x + 2x
6x -12 = 4x
6x - 4x = 12
2x = 12
x = 12/2
x = 6
In the diagram,
AC = 3x - 6 + 3x - 6
AC = 3(6) -6 + 3(6) - 6
AC = 18 - 6 + 18 - 6
AC = 24
Hence, the value of AC is 24. The correct option is B. 24
Learn more on the Properties of a rectangle here: brainly.com/question/23008020
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Answer:
x ≈ {-2.80176, -0.339837}
Step-by-step explanation:
Write in terms of sine and cosine:
sec(x) -5tan(x) -3cos(x) = 0 . . . . . . given, subtract 3cos(x)
1/cos(x) -5sin(x)/cos(x) -3cos(x) = 0
Multiply by cos(x). (Note, cos(x) ≠ 0.)
1 -5sin(x) -3cos(x)² = 0
Use the trig identity to write in terms of sin(x).
1 -5sin(x) -3(1 -sin²(x)) = 0
3sin(x)² -5sin(x) -2 = 0 . . . . . . . . quadratic in sin(x)
(sin(x) -2)(3sin(x) +1) = 0 . . . . . . factor the quadratic
Values of sin(x) that make this true are ...
sin(x) = 2 . . . . . true only for complex values of x
sin(x) = -1/3
Then the possible values of x are ...
x = arcsin(-1/3), -π -arcsin(-1/3)
x ≈ {-2.80176, -0.339837} . . . . . rounded to 6 sf
Answer:
The answer is in pictures.
hope it helps:)
<em><u>Answer:</u></em>
x = 8
<em><u>Step-by-step explanation:</u></em>
Okay, so with the info here, we know that angle RXS is 4x + 1, angle SXT is x + 9, and angle RXT is 50.
Angle RXT is angle RXS + angle SXT because it's on the diagram. So from
RXT = RXS + SXT, we can creat the equation:
50 = (4x + 1) + (x + 9) [Because we plug in the values]
So from here, we have to solve the equation:
50 = (4x + 1) + (x + 9)
First, we want to simplify everything so:
50 = 5x + 10
Then we want to isolate the variable so:
50 - 10 = 5x + 10 - 10
40 = 5x
40/5 = 5x/5
8 = x
<u>x = 8</u>
