Answer:
<h2>1. x = 4</h2><h2>2. x = 20</h2>
Step-by-step explanation:
1.
ΔABC and ΔAJK are similar (AA). Therefore the sides are in proportion:

We have:
AC = 1 + 4 = 5
AJ = 1
AB = 1 + x
AK = 1
Substitute:

<em>subtract 1 from both sides</em>

2.
ΔVUT and ΔVMN are similar (AA). Therefore the sides are in proportion:

We hve:
VU = x + 8
VM = x
VT = 49
VN = 49 - 14 = 35
Substitute:
<em>cross multiply</em>
<em>use the distributive property a(c + b) = ab + ac</em>
<em>subtract 35x from both sides</em>
<em>divide both sides by 14</em>

Answer:
Step-by-step explanation:
2x + 2 -3x -15 > 0
-x-13 > 0
-x > 13
Answer: x < -13
Answer:

Step-by-step explanation:
The rule for the translation is given as

The coordinates of F are (2,2).
We substitute these coordinates into the translation rule to find the coordinates of F'.


The slope is always change in y value over change in x value so if you pick any 2 points on the line you’ll see that the slope is 30/40 and that simplified is 3/4 so the slop is 3/4
Answer:

Step-by-step explanation:
Y-intercept:
(8,0) ; x₁ = 8 & y₁ = 0
(3,7) ; x₂= 3 & y₂ = 7
- First find the slope of the line.


slope y-intercept form of the line: y = mx + b
Substitute the slope and x and y in the above equation. We can choose anyone of the given points.
