Answer:
The perimeter is 30 units
Step-by-step explanation:
To find the perimeter of SOW, what we need to do is to add all the lengths around the triangle together.
But we only have OS, we do not have OW and WS. Thus , we need to get what the values of these lengths are before we can calculate the perimeter.
Please check the attachment for complete solution.
Yes. Both are at a right angle and both have the little tick on line AB and XY, so they must be congruent.
We know that
angle (3x) and angle (9x) are supplementary angles
so
3x+9x=180°------> 12x=180°------> x=180°/12-----> x=15°
angle (9x) and angle (1) are supplementary angles
so
9x+∡1=180---------> 9*15+∡1=180
∡1=180-9*15---------> ∡1=180-135------> ∡1=45°
the answer is
∡1 is 45°
alternative method
angle 1 = angle 3x----------> vertical angles
∡1=3x-----> 3*15-----> 45°
Cos(38°) = x/44 ⇒ x = 44 * cos(38°) ≈ 34.7 units