Answer:
Step-by-step explanation:
Vertices of the quadrilateral ABCD are,
A → (-5, 2)
B → (-3, 4)
C → (-2, 4)
D → (-1, 2)
By reflecting the given quadrilateral ABCD across x-axis to form the image quadrilateral A'B'C'D',
Rule for the reflection of a point across x-axis is,
(x, y) → (x , -y)
Coordinates of the image point A' will be,
A(-5, 2) → A'(-5, -2)
From the picture attached, point E is obtained by translation of point A'.
Rule for the translation of a point by h units right and k units up,
A'(x+h, y+k) → E(x', y')
By this rule,
A'(-5 + h, -2 + k) → E(1, -1)
By comparing coordinates of A' and E,
-5 + h = 1
h = 6
-2 + k = -1
k = 1
That means
Rule for the translation will be,
[(x + 6), (y + 1)]
Blender total cost (c) = 1.06(0.7c)+6. Here, with c = $65,
Blender total cost ($65) = 1.06(0.7)($65) + 6 = $48.23
The correct answer would be an 85 and above to make an A in the class
For the answer to this, we turn to the all-important Fundamental Theorem of Algebra<em /><em>, </em>which states that every degree-<em>n</em> polynomial has exactly <em>n </em>imaginary roots. It's important to keep in mind that this theorem doesn't tell you how to <em>find </em>these roots - it just tells you that they <em>exist</em>.
Answer:
16 and 164
Step-by-step explanation:
x+(x+148)=180
2x+148=180
2x=32
x=16 (small angle)
16+148=164(big angle)
164+16=180