Answer:
d = -4
Step-by-step explanation:
3d – 4 + d = 8d – (-12)
3d - 4 + d = 8d + 12
4d - 4 = 8d + 12
(4d - 4d) - 4 = (8d - 4d) + 12
-4 = 4d + 12
-4 - 12 = 4d (+ 12 - 12)
-16 = 4d
-16/4 = 4d/4
d = -4
Answer: 1) B is correct, constant of variation is -2.
Step-by-step explanation:
1)
Direct variation states that a relationship between the two variables. we say y varies directly as x
i.e, or y =kx.................[1] ; where k is the constant of variation.
Given the equation:
Divide both sides by -4 we get;
Simplify:
.......[2]
On comparing equation [2] with [1] we get;
k = -2
Answer:
∠1 = 72°
∠2 = 54°
∠3 = 54°
∠4 = 72°
Step-by-step explanation:
In the isosceles triangle in which ∠4 is the top vertex angle and ∠3 & 54° are it's base angles. As it is an isosceles triangle , ∠3 = 54°
Using angle sum property of a triangle ,
∠4 + ∠3 + 54° = 180°
⇒ ∠4 + 54°+ 54° = 180°
⇒ ∠4 = 180° - 108° = 72°
Diagonals of a rhombus bisect the vertex angles of a rhombus. So,
∠2 = ∠3 = 54°
Also , opposite vertex angles of a rhombus are equal, So , ∠1 = ∠4 = 72°
