The answer for angle b is: 25°
Answer:
(x, y ) → (x + 6, y + 12 )
Step-by-step explanation:
We require to determine the horizontal and vertical shift to go from one of the points on the line to the corresponding point on the image
Consider point V with x- coordinate - 8 and y- coordinate - 2
The corresponding point is V'
with x- coordinate - 2 and y- coordinate 10
Thus V → V' is 6 units right in the horizontal direction and 12 units up in the vertical direction.
These are the same shifts for W → W'
Thus the translation rule is
(x, y ) → (x + 6, y + 12 )
Add like terms and put x in the middle.
-3 < -2x + x - 3x ≤ 5 - 2
-3 < - 4x ≤ 3
Sign changed when divide by negative numbers
(3/4) > x ≥ (-3/4)
<u>Answer</u>
5 and -4
<u>Explanation</u>
If the two triangle are congruent then they have the same area.
20 = x² - x
x² - x - 20 = 0
x² - x + (1/2)² = 20 + (1/2)²
(x - 1/2)² = 20.25
x - 1/2 = √20.25
x - 1/2 = 4.5 or x - 1/2 = - 4.5
x = 4 1/2 + 1/2 x = -4 1/2 + 1/2
= 5 = -4
The values of x are 5 and -4.
The value of x would equal 55
