To find the area of a figure like this, first split this into two shapes to make things simpler: a 10 by 8 rectangle, and a triangle with a height of 5 and a base of 4. To find the dimensions of the triangle, notice that the base of the entire figure is 12 and once you split the figure into a rectangle and a triangle, you get one side that is 8 which means the base of the triangle must be 4. Now that we know the dimensions of each figure, start by finding the area of each one. To find the area of the rectangle, multiply its length by its width, or 10*8. This would give you 80. Then, find the area of the triangle, which is multiplying its base and height and dividing it by two. This would be (4*5)/2. This would equal 10. Now that we have the area of both the sections in the figure, add them together and you get your answer as 90.
<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)
Answer:
x = 7
Step-by-step explanation:
First, solve by dividing y with x
When x = 6, y = 36
36/6= 6
6(x) = y is your equation.
Now plug in 42 for y
6(x) = 42
Isolate the x. Divide 6 from both sides
(6x)/6 = (42)/6
x = 42/6
x = 7
7 is your answer for x.
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C because n has to be at least 8 or lower
