<h2>
Hello!</h2>
The answer is:
The correct option is the second option:
<h2>
Why?</h2>
We are given the following expression:
Now, solving we have:
First solution:
Second solution:
Hence, we have that the correct option is the second option:
Have a nice day!
Answer: 96°
Step-by-step explanation:
If a triangle is being drawn, Angle A and C will be the two remote interior angles in the triangle. The sum of the two interior angles has to equal to the exterior angle.
Set them equal each other and solve for x.
(3x-6) + (6x +12) = 12x - 24 Combine like terms
9x + 6 = 12x - 24 Subtract 6 from both sides
- 6 -6
9x = 12x - 30 Subtract 12x from both sides
-12x -12x
-3x = -30 Divide both sides by -3
x = 10
Now since x is 10 degrees we will need to input the value into in for x in the exterior angle expression and break it down.
Exterior : 12(10) - 24
120 - 24 = 96
This means the measure of the exterior angle at vertex B is 96 degrees.
The answer is D. "x=-15 or 15."
You can solve this by adding seven on both sides.
|x|-7=8
+7 +7
------------
|x|=15
Therefore, x is either equal to 15 or -15.
Answer:
2,655 students
Step-by-step explanation:
The z-score for a 99% confidence interval is z = 2.576
The standard error for a proportion p is:
For a proportion of p =0.20, in order to ensure a standard error of 0.02, the sample size 'n' must be:
Rounding up to the next whole student, the sample size needed is 2,655 students.
Area = (base times height) / 2
Can rewrite it as
A= b * h * 1/2
16 = (x^(1/3)) * ( x^(1/2)) * (1/2))
Multiply by 2 to simplify
32 = x^(1/3) * x^(1/2)
32=x ^(5/6)
X=64
Base = 4
Height = 8
Please look below at how you multiply variables that have fractions as exponents (you need to add the exponents, common denominator and all that)