Answer:
The correct option is B.
Step-by-step explanation:
Given information: AB\parallel DCAB∥DC and BC\parallel ADBC∥AD .
Draw a diagonal AC.
In triangle BCA and DAC,
AC\cong ACAC≅AC (Reflexive Property of Equality)
\angle BAC\cong \angle DCA∠BAC≅∠DCA ( Alternate Interior Angles Theorem)
\angle BCA\cong \angle DAC∠BCA≅∠DAC ( Alternate Interior Angles Theorem)
The ASA (Angle-Side-Angle) postulate states that two triangles are congruent if two corresponding angles and the included side of are congruent.
By ASA postulate,
\triangle BCA\cong \triangle DAC△BCA≅△DAC
Therefore option B is correct
Answer:
-2x = -60
Isolate x and simplify.
2x = 60
x = 30
Straight vertical line through x=30.
Answer:
A: 48in2
Step-by-step explanation:
Area of a rectangle = Length x Width
The complete figure is rectangular in shape with:
Length = 11 in
Width = 5 in
Area = 11 x 5
Area = 55 in2
The pink part is triangular in shape with:
height = 4in
Base = 3.5 in
Area of a triangle = 0.5 x base x height
Area of the pink portion = 0.5 x 3.5 x 4
Area of the pink portion = 7 in2
Area of the blue portion = (total Area) - (Area of the pink portion)
Area of the blue portion = 55 in2 - 7 in2
Area of the blue portion = 48 in 2
Hope this help you!
