Answer:
Finally, substitute AB = 6 and BC = 18 - 2AC in
AB + AC > BC 3rd Triangle Inequality condition
6 + AC > 18 - 2AC
-12 > -3AC
4 < AC
AC > 4
So putting all three results together
AC < 12, AC < 8, and AC > 4
Since AC is less than 8, it's automatically less than 12,
so we can dispense with AC < 12. So we have:
AC < 8 and AC > 4 which can be combined and written as
4 < AC < 8 [that is, AC is between 4 and 8]
Based on the property of the consecutive angles of a parallelogram, the value of x is calculated as: E. 37.
<h3>What are the Properties of the Angles of a Parallelogram?</h3>
In a parallelogram, the angles that are opposite to each other are congruent while consecutive angles are supplementary.
Angles F and G are consecutive angles and are therefore supplementary (have a sum of 180 degrees.)
Angle F + angle G = 180
4x - 2 + 34 = 180
4x + 32 = 180
4x = 180 - 32
4x = 148
x = 148/4
x = 37
Value of x is: E. 37.
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The divisibility rule for 12: A number is divisible by 12 if it's divisible by both 6 and 2. The reason for this is because 12 = 6 x 2.
The answer is -3 x y + x + 4
For this case we must solve the following equation:
We remove the parentheses on the right side:
We add similar terms on the right side:
We subtract from both sides of the equation:
We add 9 to both sides of the equation:
We divide by 8 on both sides of the equation:
We apply square root to both sides of the equation:
We have two roots:
Answer: