Answer:
Step-by-step explanation:
From the question we are told that:
Area of Rectangle A=6183
Equation of Length

Where

Generally the equation for Area of Rectangle is mathematically given by





Therefore

Answer:
Angle 1 = 108°
Angle 2 = 72°
Angle 3 = 120°
Angle 4 = 96°
Angle 5 = 144°
Step-by-step explanation:
We need to find the measures of the interior angles in a pentagon if the measure of each consecutive angle is in the ratio 9:6:10:8:12.
Let x be the common ratio
So, we can write:
Angle 1 = 9x
Angle 2 = 6x
Angle 3 = 10x
Angle 4 = 8x
Angle 5 = 12x
We know that the <em>sum of all angles of pentagon = 540</em>
So, adding all angles and equal them to 540, we can find value of x

So, we get the value of x: x=12
Now, calculating the angles by putting x=12:
Angle 1 = 9x = 9(12) = 108°
Angle 2 = 6x = 6(12) = 72°
Angle 3 = 10x = 10(12) = 120°
Angle 4 = 8x = 8(12) = 96°
Angle 5 = 12x= 12(12) = 144°
The answer to the question
Answer:
The coordinates of point C are (8,8.5)
Step-by-step explanation:
The picture of the question in the attached figure
Let
----> coordinates of point C
we have that
The horizontal distance AB is equal to

The vertical distance AB is equal to

Find the horizontal coordinate of point C
we know that

so

----> equation A
----> equation B
substitute equation A in equation B



so
The x-coordinate of point C is equal to the x-coordinate of point A plus the horizontal distance between the point A and point C

Find the vertical coordinate of point C
we know that

so

----> equation A
----> equation B
substitute equation A in equation B



so
The y-coordinate of point C is equal to the y-coordinate of point A plus the vertical distance between the point A and point C

therefore
The coordinates of point C are (8,8.5)