18 x 4 = 72
(9 x 2) x 4 = 72
9 x (2 x 4) = 72
<u>Part</u><u> </u><u>(</u><u>i</u><u>)</u>
1) AB is perpendicular to BC, ED is perpendicular to CD, BC = CD (given)
2) Angles ABC and CDE are right angles (perpendicular lines form right angles)
3) Angles ABC and CDE are equal (all right angles are equal)
4) Angles ACB and DCE are equal (vertical angles are equal)
5) Triangles ABC and EDC are congruent (ASA)
<u>Part</u><u> </u><u>(</u><u>ii</u><u>)</u>
6) AB = DE (corresponding parts of congruent triangles are equal)
We need to use Law of sine.
sin A/a = sin C/c
sin A/|CB| = sin C/|AB|
sin A/14 = sin(118⁰)/ 20
sin A = (14*sin(118⁰))/ 20
A=arcsin((14*sin(118⁰))/ 20) ≈ 38⁰
Answer: d
Step-by-step explanation:
Find the area of the rectangle.

Find the area of the base of the semicircle.

12 in would be the diameter, divide by 2 to get the radius.

Plug this into the formula.

Since we do not have a full circle but a semi one instead, we must divide our result by 2.

Add both areas.
180+56.52=236.52
1. $9500 because 10*950=9500
2. $95 because 950/10=95
( can explain further )