Answer:
Step-by-step explanation:
The absolute difference is 77-(-8)=85. The only option that is equivalent is
|-8|+77
First we need to put it in slope intercept form (solve for y). Then we get tex]y= -\frac{2}{3} x+490[/tex]. So the slope is-2/3 and the y intercept is 490.
Let number of fives = x then number of ones = 3x and number of tens = x - 1
so we can create the equation
x + 3x + x-1 + y = 26 where y = number of twenties
so
5x + y = 27
also we have the equation
5x + 3x + 10(x - 1) + 20y = 120
18x + 20y = 130..................................(1)
5x + y = 27 multiply by -20:-
-100x - 20y = -540..............................(2)
Adding equation (1) and (2)
-82x = -410
x = 5, that is 5 fives
Now plug x = 5 into equation 1:-
18(5) + 20y = 130
20y = 40
y = 2 , that is 2 twenties
So the answer is there are (3x) = 15 ones , 5 fives, 4 tens and 2 twenties
Answer:

Step-by-step explanation:

Isolate x for -2-5x=-16:





Isolate y for -3y+14=26:



Answer:
Part 4) 
Part 5) 
Part 6) 
Step-by-step explanation:
Part 4) Find ER
we know that
In the right triangle ERF
Applying the Pythagorean Theorem

substitute the given values

solve for ER


Part 5) Find DF
we know that
In the right triangle DRF
Applying the Pythagorean Theorem

substitute the given values


simplify

Part 6) Find DE
we know that
----> by segment addition postulate
we have

substitute
