Answer:
18
Step-by-step explanation:
We will try to find the angle on the left side of the small triangle. So we have to use Tan.
SOHCAHTOA
TanФ = 12/8
= 12/8 = 56.31°
So the other one is 33.69° It's the top left one of the smaller triangle.
The top right side of the bigger triangle is 56.31 because they both add up to make 90°
Now that we have an angle of the bigger triangle we will find the x.
Tan 56.31 = x/12
x = 18
Theres probably a easier way but i dunno
Use Desmond use desmos, it’s an app you can get and it’s free and it’ll grapgh things for you
First, replace the “?” with an x:
x - 2x - 5 = 5
Next, combine alike terms:
[ x - 2x ] - 5 = 5
^ alike terms
This will result in:
-x - 5 = 5
You do the inverse (opposite) of -5
-x -5 = 5
+5
Once you do the plus 5, the five moves to the end of the equation:
-x - 5 = 5 + 5
+5>>>>>^
The “-5” no longer exists because you canceled it with the “+5” that you moved to the other side.
The new equation:
-x = [5 + 5]
^ you add these two
After adding you get:
-x = 10
When putting “x” into a number it will ALWAYS be 1.
You then divide both sides by the “x” (which is -1 since it it always equal to one but is negative because it has a negative sign on it)
Your new equation:
-x / -1 = 10 / -1
If you divide to negatives, this will result in a positive.
You’re left with:
-x / -1 = x (since two negatives become a positive result)
10 / -1 = 10 (if there’s a negative and positive when dividing, it will automatically become negative) [ONLY FOR DIVISION]
At the end you’re left with:
x = -10
hope this helps!! if not feel free to reach out to me!!
Answer:
The system of equations has a one unique solution
Step-by-step explanation:
To quickly determine the number of solutions of a linear system of equations, we need to express each of the equations in slope-intercept form, so we can compare their slopes, and decide:
1) if they intersect at a unique point (when the slopes are different) thus giving a one solution, or
2) if the slopes have the exact same value giving parallel lines (with no intersections, and the y-intercept is different so there is no solution), or
3) if there is an infinite number of solutions (both lines are exactly the same, that is same slope and same y-intercept)
So we write them in slope -intercept form:
First equation:
second equation:
So we see that their slopes are different (for the first one slope = -6, and for the second one slope= -3/2) and then the lines must intercept in a one unique point. Therefore the system of equations has a one unique solution.
We want to find the value that makes
To find it we must look at the standard normal table, using the complementary cumulative table we find that
Then, using the z-score we can find the minimum score needed, remember that
Where
σ = standard deviation
μ = mean
And in our example, x = minimum score needed, therefore
Rounding to the nearest integer the minimum score needed is 568, if you get 568 you are at the top 20.1%.