An isosceles triangle is a special type of triangle that has two equal sides. Consequently, the two base angles are also equal. Since the interior angles of a triangle should sum up to 180°, the general equation should be
180° = 2*Base angle + Vertex angle
Let the base angle be x. Thus, the vertex angle is equal to
Vertex angle = 4x - 6
Substituting,
180 = 2x + 4x - 6
x = 31°
Vertex angle = 4(31°) - 6
Vertex angle = 118°
Answer:factor of 9
Step-by-step explanation:
Given
prism were changed by a scale factor of 3
Suppose prism is rectangular in shape
So surface are is 
Where l=length
w=width
b=breadth
So new length,breadth and width is
So new surface area would change by a factor of 9
Answer:
Step-by-step explanation:
Given
Perpendicular to 
Pass through 
Required
Determine the line equation
First, we need to determine the slope of
An equation is of the form:
Where
In this case:
Next, we determine the slope of the second line.
Since both lines are perpendicular, the second line has a slope of:
Since this line passes through (-2,2); The equation is calculated as thus:
Where
This gives:
Add 2 to both sides
The answer is $911.68.
After a little research on the internet, I found the design of the window.
First, you need to find the area of the window which is a composite figure made up of a rectangle and a circle. So, the total area (A) is the sum of the area of the rectangle (A1) and the area of the circle (A2).
Area of the rectangle with length l and width w is:
A = l * w
According to the image, l = 5 ft and w = 4 ft.
A1 = 5 * 4 = 20 ft²
Area of the circle with radius r is:
A = r²π
According to the image, r = 2 ft.
A2 = 2² * 3.14 = 12.56 ft²
The area of the window is:
A = A1 + A = 20 ft² + 12.56 ft² = 32.56 ft²
<span>The glass costs $28 per square foot, so to replace the glass will cost:
</span>32.56 ft² * $28/ft² = $911.68
B. negative correlation because as the price increases, the sales decrease
