What value of x satisfies the equation below?
12 ( x - 2 ) + 3 x = 1 2 ( x + 6 ) + 2

x = 32.6666667

Step-by-step explanation:

12(x - 2) + 3x = 12(x + 6) + 2

Distribute;

12x - 24 + 3x = 12x + 72 + 2

Collect like terms;

15x - 24 = 12x + 74

Subtract 12x from both sides;

3x - 24 = 74

Add 24 to both sides;

3x = 98

Divide both sides by 3;

x = 32.6666667

step-by-step explanation:

i dont get

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it