Answer:
<em>x = 24 </em>
Step-by-step explanation:
The corresponding sides of similar Δs are proportional.
ΔADE ~ ΔABC ⇒ = =
AD = x + 8 ; DE = 8
AB = x ; BC = 6
= ⇔ 8x = 6(x + 8) ⇒ <em>x = 24</em>
2z +7 = -5
2z = -5 -7
2z = -12
z= -12 /2
z= -6
<h3>Answer:</h3>
A. y = -1/3x + 2 . . . . . . . . assuming a typo in your problem statement
<h3>Explanation:</h3>
The point (0, 2) is the y-intercept. This tells you the equation will be something of the form ...
... y = mx + 2 . . . . . . matching only answer choices A and C
_____
Knowing this, you can either substitute the values x=3, y=1 into these two equations to see which one works (it is not C), or you can look at the two points and determine the value of the slope.
The slope is ...
... (difference in y)/(difference in x) = (1-2)/(3-0) = -1/3 . . . . . matches choice A
The equation of the line is ...
... y = -1/3x + 2 . . . . . matches answer choice A
C.0.25
Meaning 25% 25 divide one hundred
Therefore answer is 0.25
If the line is parallel to y=1/5x-4, the line must have the same slope.
So, the slope of your line is 1/5.
Now we need to find the y intercept. We should use the point given.
y=mx+b
1=1/5(5)+b
b=0
Equation: y=1/5x