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:
What is the arc length and sector area for the following circle. Round your answer to 4 decimal places.
Step-by-step explanation:
Answer: x=20
all angles in the triangle are 180 degree, so:
2x+3x+4x=180
9x=180
divide both sides by 9
x= 20
Answer:
F(1)+F(5)= 30
Step-by-step explanation:
F(1)=1^2+2=1+2=3
F(5)=5^2+2=25+2=27
27+3=30
