Answer:
Area = 15.36 ft
Step-by-step explanation:
First find the area of the dotted line triangle using the formula: base x height x 1/2, which would be 1.2ft x 12.8 x 1/2 = 7.68ft.
Next, add another triangle at the top, mirroring the shown triangle, of the parallelogram.
Then, find the area of the shape as though it were a rectangle. (base x height) - 2.4 x 12.8 = 30.72.
Next, multiply the area of the invisible triangle by 2, 7.68 x 2 = 15.36ft
and Finally, subtract the area of the rectangle shape of the the sum of the two invisible triangles, 30.72 - 15.36 = 15.36ft
The area of the parallelogram is 15.36 ft.
If vertex angle is 42, and the base angles are congruent, this is an isosceles triangle, they each measure: 180-42/2. They each measure 69 degrees. The length of sides don't matter.
Answer:
Part 1) 
Part 2)
Part 3) 
Part 4) 
Step-by-step explanation:
Part 1) Find the measure of arc AB
we know that
----> by central angle
we have

therefore

Part 2) Find the measure of arc ABC
we know that
The central angle of complete circle is equal to 360 degrees
so
Part 3) Find the measure of arc BAC
we know that
----> by angle addition postulate
we have
---> by central angle
---> by central angle
so

Part 4) Find the measure of arc ACB
we know that
The central angle of complete circle is equal to 360 degrees
so

substitute

Answer: m=-1
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
m-(-(4+m)+2)=0
1.1 Pull out like factors :
2m + 2 = 2 • (m + 1)
2.1 Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
2.2 Solve : m+1 = 0
Subtract 1 from both sides of the equation :
m = -1