Find the area A of polygon CDEFGH with the given vertices. C(0,5), D(2,5), E(2,3), F(3,2), G(-1,2), H(0,3)
enot [183]
Answer:
<em>The area of the polygon CDEFGH is 7</em>
Step-by-step explanation:
<u>Area of a Polygon</u>
The area of a polygon is generally calculated as the sum of the smaller areas that form its full shape, give each partial area has a known shape, like a square, rectangle, triangle, circle, etc.
The six points given in the question are plotted in the image below. They form a polygon whose area can be divided into two smaller shapes:
The area CDHE is a square of length side 2. Area of a square:
The area HEFG is a trapezoid with bases lengths 4 and 2, and height 1. Area of a trapezoid:
Calculate both areas:
Total Area=4+3=7
The area of the polygon CDEFGH is 7
The measure of ab and df are 3cm and 7.5cm respectively
<h3 /><h3>Similarity theorem of shapes</h3>
In order to determine the missing sides, we need to take the ratio of the similar sides as shown:
1) ab/de = ac/df
ab/de = ab+bc/df
Substitute the given values
ab/2 = ab+4.5/2+3
ab/2 = ab+4.5/5
2(ab+4.5) = 5ab
2ab+9=5ab
3ab = 9
ab = 3cm
Hence the measure of ab is 3cm
2) ae/ce = bf/df
24/9 = 20/df
24df =. 9(20)
24df = 180
df = 7.5cm
Hence the measure of ab and df are 3cm and 7.5cm respectively
Learn more on similar shapes here: brainly.com/question/11920446
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Answer:
5n + 25q = 200 - - - (1)
n = 5q - - - (2)
q = 40
n = 5(40) = 200
Step-by-step explanation:
Number of Nickels = n
Number of Quarters = q
$2.00 = $2 * 100 = 200 cent
Nickel = 5 cent
Quarter = 25 cent
5n + 25q = 200 - - - (1)
n = 5q - - - (2)
5(5q) + 25q = 200
25q + 25q = 200
50q = 200
q = 200/5
q = 40
n = 5(40) = 200
The first thing we are going to do to graph our equation is solve them for
:
For our first equation:
For our second equation:
Now, we just need to use the graphing utility to graph our equations:
We can conclude that the graph of the equations is:
Answer:
C. 61
Step-by-step explanation:
Two sides are equal, so the triangle is an isosceles triangle.
Both base angles are equal.
Angles in a triangle add up to 180 degrees.
58 + x + x = 180
58 + 2x = 180
2x = 122
x = 61
