Angle a is directly opposite from a 40 degree angle, so a=40. Then we can find b since the sum of the angles of all triangles is 180 and there is a right angle in there along with angle a:


Last, to find c we just notice that it is supplementary with an angle of measure 65, so:


So our angles are a=40, b=50, c=115.
Let's set the measure of each angle equal to 540 degrees.
4x + 4x + 5x + 2 + 96 + 5x - 8 = 540
Combine like terms.
18x + 90 = 540
Subtract 90 from both sides.
18x = 450
Divide both sides by 18
x = 25
8.517 as a Fraction:8 and 500/1000 ( This is a mixed number)
8.517 as a Percentage: 815.7%
Step-by-step explanation:
We only know 1 side, and that is the width of 4. We only have the diagonals at our side. Half of the diagonal is 5. As a result, the diagonal is 10. I want you to imagine a triangle that has a base of 4 and a hypotenuse of 10. Use the Pythagorean Theorem to find b, or the height.
a² + b² = c²
4² + b² = 10²
16 + b² = 100
100 - 16 = 84
b² = 84
b = √84
b ≈ 9.165
Now we know the length of the rectangle, which is about 9.165. Multiply that by 4 to get the area.
9.165 * 4
36 + 0.4 + 0.24 + 0.020
36.4 + 0.24 + 0.02
36.64 + 0.02
36.66 u²
The area of rectangle RSTU is about 36.66 units squared.
The formula is
SA= pi (r)2 +pi (r) (h)
the SA is 13,188