Answer:

Step-by-step explanation:
Hi there!
We are given the absolute value equation:
5-8|-2x|=-80
We want to solve it for x
First, let's make sure that ONLY the absolute value equation is on the left side
So subtract 5 from both sides
-8|-2x|=-85
Now divide both sides by -8
|-2x|=85/8
Now, for an absolute value equation, we can split it up into two parts, as |x| can be equal to both x and -x
In this case, |-2x| can equal to 85/8, but it can also equal -85/8
That's why for absolute value, there are always 2 cases
For the first case, if |-2x| is equal to 85/8:
Note: we open up the absolute value when we are solving a case, as it is one of the possiblities that can happen for the equation. So it would be true.
-2x=85/8
Divide both sides by -2
x=-85/16
In the second case, if -2x is equal to -85/8:
-2x=-85/8
Divide both sides by -2
x=85/16
So the answers are 
Hope this helps!
Answer:

Step-by-step explanation:
In a triangle the sum of all angle measures is always 180 degrees


degrees
By splitting the isosceles triangle down the middle we can calculate the base
So ∠H = 23°, ∠K = 90°, ∠J = 67°, HJ = 19
With this we can solve for half of the base. the trig function will need to use is sin, since the side opposite of ∠H will be part of the base. 
now we need to rearrange the formula for what we have.


This value is only half of the base, so we need to double it

Answer:
24/15
Step-by-step explanation:
both fractions have the same denominator, therefore it states the same and the numerators sum linearly
11/15 + 13/15 = 24/15
4 is the x value and -3/4 is the y value. (x,y)
To plot this point, move over to the right to 4, then go down 3/4. So the point will be in the bottom right quadrant.
Answer:
b:1/10
Step-by-step explanation:
In 1 hour and 30 minutes the water level increased by 15 inches. If we simplify that, we get 10 inches for every hour. The correct answer is b.
Hope this helps!
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