Answer:
∠L = 43°
∠M = 121°
∠N = 16°
Step-by-step explanation:
<u>Start by setting all sides equal to 180</u>
3x - 5 + 7x + 9 + x = 180
<u>Add like terms</u>
11x + 4 = 180
<u>Solve for x</u>
11x + 4 = 180
- 4 - 4
11x = 176
/ 11 /11
x = 16
<u>Now, plug in 16 for all instances of x on the triangle and solve.</u>
∠L = 43°
∠M = 121°
∠N = 16°
The answer is:
n is equal to 1
The <em><u>correct answer</u></em> is:
Translated according to the rule (x, y) →(x + 2, y + 8) and reflected across the y-axis
Explanation:
A translation using the rule (x, y) →(x + 2, y + 8) adds 2 to the x-coordinate and 8 to the y-coordinate. This takes our points and maps them the following way:
A(-5, -2)→(-3, 6)
B(-7, -3)→(-5, 5)
C(-6, -6)→(-4, 2)
D(-3, -5)→(-1, 3)
E(-3, -3)→(-1, 5)
The difference between each of these points and the image points is that the x-coordinates are negated. To do this, we would reflect the points through the y-axis.
