Answer:
The equation of required line is: 
Step-by-step explanation:
We need to write equation in the form Ax+By+C=0 of the line parallel to
and through the point (-2,3)
First we need to find slope and y-intercept of the required line.
Using equation of line
to find slope.
Since the given line and required lines are parallel there slope is same.
Writing equation in slope intercept form:
where m is slope.

So, the slope m = 5/8
The slope of required line is 
Now finding y-intercept using slope
and point(-2,3)

So, the equation of required line having slope
and y-intercept 

So, The equation of required line is: 
what's it look like if like this |__ right /_ acute \__ obtuse
Answer:
54
Step-by-step explanation:
A tangent line makes a right angle with the radius to the point of tangency. Hence this triangle is a right triangle, and x° is the complement of 36°:
x° = 90° -36° = 54°
The value of x is 54.
<u>Part 1) </u>To find the measure of ∠A in ∆ABC, use
we know that
In the triangle ABC
Applying the law of sines

in this problem we have

therefore
<u>the answer Part 1) is</u>
Law of Sines
<u>Part 2) </u>To find the length of side HI in ∆HIG, use
we know that
In the triangle HIG
Applying the law of cosines

In this problem we have
g=HI
G=angle Beta
substitute


therefore
<u>the answer Part 2) is</u>
Law of Cosines