Answer: See the attached image
You have the correct idea for the boxes you've filled out. For the first three boxes in column 1, I would be specific which segments you are dividing. So for instance, in the first box, it would be EG/EB = 55/11 = 5. Then the second box would be EF/EC = 35/7 = 5, and so on. The order of the boxes doesn't matter. The three boxes then combine together to help show that the triangles are similar. Specifically
. The order of the letters is important to help show how the angles pair up and how the sides pair up. We use the SSS similarity theorem here.
The second problem is the same idea, but we use one pair of congruent angles. So we'll use the SAS similarity theorem this time.
We can rearrange the initial equation to y=mx+b
y=2x-5
Since perpendicular slopes must equal -1,
x=the perpendicular slope
2x=-1
x=-1/2
(Or you can just take the negative reciprocal above is just the "formula form" for it)
Therefore, the perpendicular slope is -1/2
Answer: B) x ≥ -2
<u>Step-by-step explanation:</u>
Domain represents all of the x-values.
In the given graph, the x-values start at -2 and go continuously through to positive infinity.
Therefore, x ≥ -2
Solve for x by simplifying both sides of the equation, then isolating the variable.
x = 1/2
Hope this helps! :)
Answer:
y + 1 = 8 (x + 7)
Step-by-step explanation:
point slope form is
y - y1 = m (x - x1)
So replace the y1 with the y point, and the x1 with the x point
y - (-1) = m (x - (-7) )
then replace the m with the slope
y - (-1) = 8 (x - (-7) )
now solve
y + 1 = 8 (x + 7)