First we know that:
AB+BC=AC
now , since B is the midpoint of AC, this means that AB=BC
therefore,
AB+BC=AC can also be written as
AB+AB=AC
3x-1+3x-1=8x-20
6x-2=8x-20
-2+20=8x-6x
18=2x
x=9
therefore:
AB=3(9)-1=27-1=26
AC=8(9)-20=52
BC=AB=26
Answer:
Parallel
Step-by-step explanation:
The equation of a line in slope - intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Both given equations are in this form, that is
y = 
x + 1 → m =
y = x - 7 → m =
Parallel lines have equal slopes thus the lines are parallel
Using the index law
![a^{ \frac{m}{n}} = (\sqrt[n]{a} )^m](https://tex.z-dn.net/?f=a%5E%7B%20%5Cfrac%7Bm%7D%7Bn%7D%7D%20%3D%20%20%28%5Csqrt%5Bn%5D%7Ba%7D%20%29%5Em)
![\sqrt[3]{6859}=19](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B6859%7D%3D19%20)
, so we can also write this as
![( \sqrt[3]{19^3} )](https://tex.z-dn.net/?f=%28%20%5Csqrt%5B3%5D%7B19%5E3%7D%20%29)
Answer: TRUE
Answer:
the smaller angle is 35 degrees.
Step-by-step explanation:
complementary angles are 90 degrees, so you would set your entire equation to 90.
we can use the variable x to represent the unknown smaller angle. we know that the larger angle is 20 more degrees than the unknown smaller angle (x). we can set up the equation like this:
x + x + 20 = 90
the first x represents the smaller angle and the x + 20 represents the other angle, which is 20 more than the smaller angle. we set it to 90 because we know that the entire angle will be 90 degrees
move variables and constants to opposite sides of the equal sign and combine like terms:
x + x = 90 - 20
2x = 70
divide both sides by 2 to isolate 90:
x = 35
you can plug x back into the equation to check your answer if you want
hope this helps!! :)
