Answer:
Option A. These two lines are perpendicular
Step-by-step explanation:
we know that
If two lines are parallel, then their slopes are equal
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
step 1
Convert the given equation A in slope intercept form

where
m is the slope
b is the y-intercept
we have
----> equation A
Solve for y
That means----> isolate the variable y
Divide by 3 both sides

so

step 2
Convert the given equation B in slope intercept form

where
m is the slope
b is the y-intercept
we have
----> equation B
Solve for y
That means----> isolate the variable y
subtract 3x both sides
Divide by 2 both sides

so

step 3
Compare the slopes


The slopes are opposite reciprocal (the product is equal to -1)
therefore
These two lines are perpendicular
The question provides the measures of two angles, (one of which contains
a variable), and the relationship between the angles.
The value of <em>x</em> is <u>6 degrees</u>
Reason:
The given parameters are;
The base angles of the isosceles triangles are; 61° and (7·x + 19)°
Required:
To find the value of <em>x</em>
<em />
Solution:
By definition of an isosceles triangle, we have;
The base angles of an isosceles triangle are equal, therefore;
(7·x + 19) = 61
Which gives;

The value of<u> </u><u><em>x</em></u><u> = 6</u>
Learn more here:
brainly.com/question/16350203
The percent error is calculated by the formula Absolute Value of (Error - Actual / Actual then times 100).
In this case the Error value was 76, and the Actual was 80.
So, set up the expression
I(76 - 80)/80 x 100I
I-4/80 x 100I
I-400/80I
I-5I
5
The percent error was 5 percent, since that was how much her estimation differed from the actual amount.
<h2><u>5 percent</u></h2>