Answer:
x = 6
Step-by-step explanation:
use alternate angles
Answer:

Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is 0) - Parallel lines always have the same slope
<u>1) Determine the slope (m)</u>

First, we must organize this given equation in slope-intercept form. This will help us identify its slope.

Subtract 3x from both sides

Divide both sides by 2

Now, we can identify clearly that
is in the place of <em>m</em> in
, making it the slope. Because parallel lines have the same slope, this makes the slope of the line we're currently solving for
as well. Plug this number into
:

<u>2) Determine the y-intercept (b)</u>

Plug in the given point (8,-11) and solve for b

Add 12 to both sides

Therefore, the y-intercept of the line is 1. Plug this back into
:

I hope this helps!
Answer:
1. Add 5 to both sides
2. Divide both sides by 2
3. Take the square root of both sides
4. Subtract 2 from both sides
Step-by-step explanation:
2(x+2)²-5=93
<em>Add 5 to both sides</em>
2(x+2)²=98
<em>Divide both sides by 2</em>
(x+2)²=49
<em>Square root both sides</em>
x+2=7
<em>Subtract 2 from both sides</em>
x=5
This can be solved by using the 30 60 90 triangle. The 30-60 side is equal to 2x, here it is 2x=18. The 60-90 side is equal to x. So this side is 18/2=9. The 30-90 side is by the way equal to the root of x, so here the root of 18
Answer: 46 is your answer hope this helped
Step-by-step explanation: