Answer:
You could just replace all the given possible values of k in the inequality and see which ones are solutions, but let's solve this in a more interesting way:
First, remember how the absolute value works:
IxI = x if x ≥ 0
IxI = -x if x ≤ 0
Then if we have something like:
IxI < B
We can rewrite this as
-B < x < B
Now let's answer the question, here we have the inequality:
I-k -2I < 18
Then we can rewrite this as:
-18 < (-k - 2) < 18
Now let's isolate k:
first, we can add 2 in the 3 parts of the inequality:
-18 + 2 < -k - 2 + 2 < 18 + 2
-16 < -k < 20
Now we can multiply all sides by -1, remember that this also changes the direction of the signs, then:
-1*-16 > -1*-k > -1*20
16 > k > -20
Then k can be any value between these two limits.
So the correct options (from the given ones) are:
k = -16
k = -8
k = 0
Answer:
Step-by-step explanation:
48% of n = 0.48n = 40.32
n = 84
20% of n = 0.20*84 = 16.8
Answer:
A. Measure of angle A + measure of angle B
Step-by-step explanation:
Because angle 4 is an exterior angle of given triangle which will be equal to the Measure of angle 2 + measure of angle 3
Answer:
Replace l with 110 and w with 120
P = 2(110) + 2(120)
P = 220 + 240
P = 460 feet
Answer:
105 feet or inches
Step-by-step explanation:
First we find the surface area of the base, (or the square.)
That is 25.
Next we find the areas of the triangle which is: 
×height
The area of one triangle is 20, so we multiply it by 4.
That is 80.
Finally, we add both surface area to find the total surface area.
That is 80 + 25 = 105
Hope that helped!
