Answer:
B. x = 7; AB = 9, AC = 12
Step-by-step explanation:
12/4 = (x + 2)/(x - 4) (similar triangles theorem)
3 = (x + 2)/(x - 4)
Cross multiply
3(x - 4) = (x + 2)
3x - 12 = x + 2
Collect like terms
3x - x = 12 + 2
2x = 14
x = 14/2
x = 7
✔️AB = x + 2 = 7 + 2
AB = 9
✔️AC = (x + 2) + (x - 4) = (7 + 2) + (7 - 4)
AC = 9 + 3
AC = 12
Answer:
x = 44°
Step-by-step explanation:
The sum of the three angles is 180°.
So, x + x + 5 + 2x -1 = 180
4x + 4 = 180
4x = 176
x = 44°
Answer:
m = -1/3
Step-by-step explanation:
y = 3x-4
This is in slope intercept form
y = mx+b m is the slope and b is the y intercept
The slope is 3 and the y intercept is -4
We want the slope of a line that is perpendicular
Perpendicular lines have slopes that multiply to -1
Let m be the slope of the line that is perpendicular
3 * m = -1
Divide each side by 3
3m/3 = -1/3
m = -1/3
