Answer:

Step-by-step explanation:
8x + 34 = 130 <u>(Vertical Angles are Equal)</u>
Subtract 34 to both sides
8x = 130 - 34
8x = 96
Divide both sides by 8
x = 96 / 8
x = 12
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
Distribute 5/7 through the parentheses and add like terms after.
Answer: 11/7x + 11/35y
Answer:
a. Vertex = (2.5,-12.25)
b. y-intercept = (0,-6)
c. x-intercept = (6,0) ; (-1,0)
Step-by-step explanation:
a.
Your equation is written as:

The easiest way to find the vertex is writing the equation this way:

Being the vertex (h,k)
So first complete the square

Vertex : (2.5,-12.25)
b.
To find the y-intercept you need to replace the equation when x = 0 and get y

c.
To find the x-intercept you need to replace the equation when y = 0 and get x

The inequality that explains why the three segments cannot be used to construct a triangle is ED + EF < DF
<h3>Inequalities </h3>
From the question, we are to determine which of the given inequalities explains why the three segments cannot be used to construct a triangle
From the given information,
Line DE is about half the length of line DF
That is,
ED = 1/2 DF
Also,
Line FE is about one-third of the length of line DF
That is,
EF = 1/3 DF
Then, we can write that
ED + EF = 1/2DF + 1/3DF
ED + EF = 5/6 DF
Since,
5/6 DF < DF
Then,
ED + EF < DF
Hence, the inequality that explains why the three segments cannot be used to construct a triangle is ED + EF < DF
Learn more on Inequalities here: brainly.com/question/1447311
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