Answer:
[(x + 6), (y + 1)]
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)]
When a tangent (top line with the arrow) and a secant (other line) intersect, they form an angle (55°) equal to:
55° = ½ (the larger intercepted arc minus<span> the smaller intercepted arc)
</span>
<span>55° = ½ (170° -x°)
55° = 85° -</span><span>½ x
</span><span>½ x = 30°
x = 60°
</span>
Answer:
An interest rate is the amount of interest due per period, as a proportion of the amount lent, deposited or borrowed. The total interest on an amount lent or borrowed depends on the principal sum, the interest rate, the compounding frequency, and the length of time over which it is lent, deposited or borrowed.
Answer:
solve 26x+50=193 which equals 5.5
Step-by-step explanation:
Answer:
Can be either 6 adult tickets and 9 children tickets or 9 adult tickets and 5 children tickets