Write an equation that could be used to find the value of x using the interior angles of ∆BDC, then solve it.

9514 1404 393

  x = 16

Step-by-step explanation:

Either or both of the right triangles can be used to find x. Or, triangle ABC could be used. All numbers are assumed to be degrees.

Using ∆ABD

  55 +90 +2x+3 = 180

  2x = 32 . . . . . . subtract 148

  x = 16

Using ∆BCD

  50 +90 +2x+8 = 180

  2x = 32 . . . . . . subtract 148

  x = 16

Using ∆ABC

  55 +(2x +3) +50 +(2x +8) = 180

  4x = 64 . . . . . . . subtract 116

  x = 16

a 360 degree rotation

step-by-step explanation:

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