Answer:
-10
Step-by-step explanation:
combine like terms -5x+9=59 subtract 9 from both side and get -5x=50 so x=-10
Answer:
Two pairs of parallel sides
Step-by-step explanation:
The given transformation performed on parallelogram RSTU = 180° clockwise rotation
Given that a rotation is a form of rigid transformation, the shape and size of the preimage RSTU will be equal to the the shape and size of the image R'S'T'U'
Therefore, RSTU ≅ R'S'T'U' and R'S'T'U' is also a parallelogram with two pairs of parallel sides.
In a parallelogram, opposite angles are congruent.
Since angles z and 124° are opposite angles in the parallelogram, they are congruent angles.
Therefore we have:
Answer:
D
Step-by-step explanation:
Answer:
Step-by-step explanation:
The diagonals of a rhombus are perpendicular, so ∠AED = 90° and ∠BEC = 90°.
∠DAE = 180° - ∠AED - ∠EDA = 180° - 90° - 35° = 55°
BD is a transversal across parallel sides AD and BC, so ∠EBC = ∠EDA = 35°.
∠BCE = 180° - ∠BEC - ∠EBC = 180° - 90° - 35° = 55°