First we know that,
3x+15=5x-65 because of vertical angle thr.
y=y because of reflex property
there are 360 degrees in a circle so..
3x+15+5x-65+2y=360
3x+15=5x-65
x=40
so each 2 of the angles are...(40*3+15)=135
Then your new equation is
135+135+2y=360
2y=90
<u>y=45</u>
Hope this helps :)
Answer:
25 degrees
Step-by-step explanation:
Haha, awesome! Just did a problem like this!
All angles add up to 180, so set it up like this:
2x + 1 + 5x + 5 + 90 = 18
Combine like terms.
7x + 96 = 180
7x = 84
x = 12
Plug x back into 2x + 1
2(12) + 1
24 + 1
= 25 degrees
While we're at it...
5(12) + 5
60 + 5
= 65 degrees (for the other angle)
25 + 65 + 90 = 180
Math checks out & we're good to go!
Hope this helped. :) <3
This is a difference of squares problem. You just have to make sure every term is a perfect square and that there is subtraction in the problem.
Answer:
a) 15
Step-by-step explanation:
x+8
substitute x value in
7+8
=15
Solve each of the equations independently, then determine if the are continuous or discontinuous.
15≥-3x [start here]
-5≤x [divide both sides by (-3). *Dividing by a negative number means the direction of the sign changes!]
x≥-5 [just turned around for analysis]
Next equation:
2/3x≥-2 [start here]
x≥-2(3/2) [multiply both sides of the equation by the reciprocal, 3/2)
x≥-3
So, (according to the first equation) all values of x must be greater than, or equal to -5.
(According to the second equation) all values of x must be greater than, or equal to -3.
So, when graphed on a number line, both equations graph in the same direction, so they are continuous.
