1. alternate interior angles
2. angle 1 ≈ angle 2
So,
2x+5=x+59
-x. -x
x+5=59
-5 -5
x=54!!
3. Plug in the value of x into the expression for angle 2
54+59=113
Angle 2=113°
Using prime notation, the new coordinates after translation are;
<em>New coordinates;</em>
A': (-1, 1)
B': (-1, -2)
C': (3, -2)
D': (3, 2)
- From the attached image, we can see that the coordinates are;
A(-6, 5)
B(-6, 2)
C(-2, 2)
D(-2, 6)
- Translating the polygon down by x units means the value of the y-coordinates will reduce by 4.
- In a similar fashion, translation 5 units to the right means that the x-coordinates would increase by 5.
- Applying these translation numbers to our coordinates, we will now have;
A(-6 + 5, 5 - 4)
B(-6 + 5, 2 - 4)
C(-2 + 5, 2 - 4)
D(-2 + 5, 6 - 4)
Simplifying each of them gives us the new coordinates as;
A: (-1, 1)
B: (-1, -2)
C: (3, -2)
D: (3, 2)
Read more at; brainly.com/question/4726090
Answer:
4.11 * 10⁷ square miles
Step-by-step explanation:
Let P = pacific ocean
A = Atlantic ocean
P = 63,780,000 = 6.38 * 10⁷
Since A is 2.27 * 10⁷ square miles smaller than the pacific ocean,
The area of A = 6.38 * 10⁷ - 2.27 * 10⁷
The area of the atlantic ocean = 4.11 * 10⁷ square miles
x = number of adult tickets
y = number of children tickets
9x + 6y = 1053
x+y = 127 so x = 127 - y
replace x = 127 - y into 9x + 6y = 1053
9(127 - y) + 6y = 1053
1143 -9y + 6y = 1053
-3y = 1053 -1143
-3y = -90
y = 30
x = 127 - 30
x = 97
answer: 97 adults and 30 children
The answer would be 15.7142857143
You can get the answer by calculating (5/7) × 22