Answer:
The Proof is below.
Step-by-step explanation:
Given:
ABCD is a Parallelogram
Construction:
Draw diagonal AC
To Prove:
AB ≅ CD
BC ≅ DA
Proof:
ABCD is a Parallelogram. ...............Given
BC || DA ........Opposite sides of Parallelogram are Parallel
AB || CD ........Opposite sides of Parallelogram are Parallel
Now,
In ΔABC and ΔCDA
∠BCA ≅ ∠DAC ...……….{Alternate Angles are equal since BC || DA}
∠BAC ≅ ∠DCA …………..{Alternate Angles are equal since AB || CD}
AC ≅ AC …....…….{Reflexive Property}
ΔABC ≅ ΔCDA ..........….{By Angle-Side-Angle Congruence Postulate}
AB ≅ CD ....{Corresponding parts of Congruent Triangles are Congruent}
BC ≅ DA ....{Corresponding parts of Congruent Triangles are Congruent}
Answer:
botty hole
Step-by-step explanation:
ashcheek
Answer:
3
Step-by-step explanation:
We factor each of these (find prime factorization ) and the largest factor is 3
The question is asking for the cubic feet inside the prism, which means it wants the volume.
The volume equation is:
Volume= length x width x height
The issue is: the measurements of the prism are given to us in inches, while the problem asks for feet. We just need to convert each measurement, by dividing each by 12, since there are 12 inches per foot.
40 inches/12=3.33 feet
45 inches/12=3.75 feet
30 inches/12=2.5 feet
Now, we just have to plug in the numbers we found to solve for the volume.
V=(3.33 feet)(3.75 feet)(2.5 feet)
V=31.22 cubic feet