Answer:
x = 13
Step-by-step explanation:
6x + 14 + 4x - 8 + 2x + 18 = 180 {Angle sum property of tiangle}
6x + 4x + 2x + 14 - 8 +18 = 180 {Combine like terms}
12x + 24 = 180 {Subtract 18 from both sides}
12x = 180 - 24
12x = 156 {Divide both sides by 12}
x = 156/12
x = 13
Rectangles:
2 x 3 = 6 sq in.
2 x 4 = 8 sq in.
2 x 6 = 12 sq in.
Triangles: (since there are 2 you don't need to do 1/2 x base x height)
3 x 4 = 12 sq in.
Now add 6+8+12+12 = 38 sq in.
Answer:
a) 64° each
b) 15.78 cm
c) 51.78 cm
Step-by-step explanation:
a) (180 - 52)/2 = 64°
b) cos 64 = x/18, x = 7.89, 2x = 15.78 cm
c) 18 + 18 + 15.78 = 51.78 cm
Answer:
Step-by-step explanation:
a). By the rotation of 90° clockwise around the origin image ΔE'F'G' will be in 2nd quadrant while Destiny has plotted in fourth quadrant.
b). Rule to find the coordinates of the image will be,
(x, y) → (y, -x)
E(-5, -1) → E'(-1, 5)
F(-2, -3) → F'(-3, 2)
G(-4, -4) → G'(-4, 4)
c). Now we can plot these points on the graph as shown in the attached picture.