Ok so, 42 ft. by 42 ft.
$25 per square yard
1 square yard = 9 square feet
The total square footage is 1,764 ft.
Total square yards is 196.
The total cost would be $4,900.
Answer:
SAS theorem
Step-by-step explanation:
Given



Required
Which theorem shows △ABE ≅ △CDE.
From the question, we understand that:
AC and BD intersects at E.
This implies that:

and

So, the congruent sides and angles of △ABE and △CDE are:
---- S
---- A
or
--- S
<em>Hence, the theorem that compares both triangles is the SAS theorem</em>
Answer:
E
Step-by-step explanation:
(X1, Y1) = (-3,-2)
(X2,Y2)=(4,8)
SLOPE= (Y2-Y1) / (X2-X1)
= (8-(-2)) / (4-(-3))
=(8+2) / (4+3)
= 10/7
Hope it was helpful
First, let's convert each line to slope-intercept form to better see the slopes.
Isolate the y variable for each equation.
2x + 6y = -12
Subtract 2x from both sides.
6y = -12 - 2x
Divide both sides by 6.
y = -2 - 1/3x
Rearrange.
y = -1/3x - 2
Line b:
2y = 3x - 10
Divide both sides by 2.
y = 1.5x - 5
Line c:
3x - 2y = -4
Add 2y to both sides.
3x = -4 + 2y
Add 4 to both sides.
2y = 3x + 4
Divide both sides by 2.
y = 1.5x + 2
Now, let's compare our new equations:
Line a: y = -1/3x - 2
Line b: y = 1.5x - 5
Line c: y = 1.5x + 2
Now, the rule for parallel and perpendicular lines is as follows:
For two lines to be parallel, they must have equal slopes.
For two lines to be perpendicular, one must have the negative reciprocal of the other.
In this case, line b and c are parallel, and they have the same slope, but different y-intercepts.
However, none of the lines are perpendicular, as -1/3x is not the negative reciprocal of 1.5x, or 3/2x.
<h3><u>B and C are parallel, no perpendicular lines.</u></h3>
Answer:
r = 2.55
Step-by-step explanation:
The formula for finding the radius of a circle using the area is r = √A/π
with the r being the radius. the A being the area, and the π being pi (we'll use 3.14).
So the equation should look like this:
r = √(20.4/3.14)
Find the quotient of 20.4/3.14 and round to the nearest tenth
r = √6.5
Find the square root and round to the nearest hundredth
r = 2.55