Answer:
C
Step-by-step explanation:
The similarity statement is correct. Because they are similar, AB is equal to EF, so to find x, you do x-2=2.2. Solve that and you get x=0.2
The area and perimeter of the triangle is 2/5 square units and (2√10 + 4√5) / 5 units
<h3>Determining the perimeter and area of the triangle giving line equation</h3>
In order to determine the area and perimeter of the lines, we will plot the giving lines, determine the point of intersection and then use the Pythagoras theorem to determine the dimension of the right triangle.
The points of intersection of the line are;
(x₁, y₁) = (- 0.4, 5.2),
(x₂, y₂) = (-0.8, 4.4),
(x₃, y₃) = (0, 4)
Determine the base
b² = c² -a²
b = √(-0.8)² + (4 - 4.4)²
b = 2√5 / 5
Determine the height
h = √((- 0.4) - (- 0.8))² + (5.2 - 4.4)²
height = 2√5 / 5
For the hypotenuse
r = √2 · b
r = 2√10 / 5
<h3>Determine the Perimeter and area</h3>
Perimeter = s1+s2+s3
Perimeter = 2√5 / 5 + 2√5 / 5 + 2√10 / 5
Perimeter = (2√10 + 4√5) / 5 units
<u>For the area</u>
area = 1/2* base * height
A = 0.5 · (2√5 / 5) · (2√5 / 5)
A = 2/5 square units
Hence the area and perimeter of the triangle is 2/5 square units and (2√10 + 4√5) / 5 units
Learn more on area and perimeter of triangles here: brainly.com/question/12010318
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Answer:
55°
Step-by-step explanation:
d = 180 - 80 = 100
100 + 130 + 90 + (180 - 85) + (180 - c)
= 540
595 - c = 540
c = 595 - 540
c = 55°
Answer:
91
Step-by-step explanation:
Substitute 4 in place of x
f(4)=20*4+11
f(4)=80+11
f(4)=91
Put the terms in order of decreasing degree, all on the left. When convenient, it is nice to have mutually prime integer coefficients with the leading one positive.
a) x² -2x +1 = 0
b) x² +15 = 0
c) 4x² -12 = 0
or, better, divide out the common factor of 4.
x² -3 = 0
d) 3x² -x -5 = 0
_____
Shown is the standard form for a single-variable second-degree equation. Form varies depending on the nature of the equation. Equations of conic sections have different standard forms, depending on the curve.