7. Slope of AD = 4/16 = 1/4
8. ΔAEC = 3/12 = 1/4
.. ΔDFB = 2/8 = 1/4
9. The angles at E, G, and F are right angles. Lines CE and BF are parallel, so the alternate interior angles at B and C where the transversal AD crosses them are equal. The triangles of interest are similar by AA~.
10. See problem 7. The ratio is the same.
11. Hard to tell what rule they want you to state. Every axis-aligned right triangle with its hypotenuse on AD will have the same ratio of side lengths. (That's one of the features of the graph of a line. It has the same slope everywhere, measured over any distance.)
Hey!
The first step to solving this equation would be to subtract 5 from both sides of the equation.
<em>Original Equation :</em>

- 8x + 16 = 5
<em>New Equation {Added Subtract 5 to Both Sides} :</em>

- 8x + 16 - 5 = 5 - 5
Now we solve our new equation.
<em>Old Equation :</em>

- 8x + 16 - 5 = 5 - 5
<em>Solution {Old Equation Solved} :</em>

- 8x + 11 = 0
The next step would be to solve with the quadratic formula.
<em>Quadratic Equation ( 1 ) :</em>

<em>Quadratic Equation ( 1 ) {Solved} :</em>
4 +

<em>Quadratic Equation ( 2 ) :</em>

<em>Quadratic Equation ( 2 ) {Solved} :</em>
4 -

<em>So, our final solutions for the equation

- 8x + 16 = 5 are...</em>
x = 4 + 
<em>and </em>
x = 4 - 
Hope this helps!
- Lindsey Frazier ♥
Answer:
10/28
Step-by-step explanation:
<h3>
Answer: Choice D</h3>
==========================================================
Explanation:
If you plug in x = -2, then,
y = 4x-2
y = 4(-2)-2
y = -8-2
y = -10
This shows that the answer must be choice D, as this is the only answer that has x = -2 lead to y = -10. Note the first column of table D.
We could stop here if you wanted.
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If we kept going and plugged in x = 0, then,
y = 4x-2
y = 4(0)-2
y = 0-2
y = -2
We have x = 0 lead to y = -2. This matches with the second column of table D.
-----------------------
Lastly, if we plugged in x = 2, then we get,
y = 4x-2
y = 4(2)-2
y = 8-2
y = 6
So the third column of table D is also confirmed.