Sonny deposited $8,500 in an account that earns 4% simple interest. If Sonny makes no more deposits or withdrawals, then how muc
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Given
.OABC is a tetrahedron
OA=a, OB=b, and OC=c.
point P and Q are such that OA =AP and 2OB = BQ
point M is a midpoint of PQ.
Find AB ,PQ, CQ ,QM ,MB ,OM in terms of a, b, and c.
To proof
we proof this by using the Triangle law of vector addition
when two vectors are represented by two sides of a triangle in magnitude and direction taken in same order then third side of the third side of that triangle represents in magnitude and direction the resultant of the vectors.
by using the diagram as shown below
hence proved
Answer:∠JML ≅ ∠QJM
Alternate Interior Angles Theorem
Step-by-step explanation:
Here, Given: JKML is a parallelogram,
That is, JK ║ ML and JM ║ KL
Prove: ∠ MLK ≅ ∠ KJM and ∠ JML ≅ ∠ LKJ
Extend segment JM beyond point and draw point P (Construction)
∠ MLK ≅ ∠ PML ( Alternate Interior Angles Theorem)
∠ PML ≅ ∠KJM ( Corresponding Angles Theorem )
⇒ ∠ MLK ≅ ∠ KJM ( By transitive property of equality )
Extend segment JK beyond point J and draw point Q, by Construction.
∠JML ≅ ∠QJM ( Alternate Interior Angles Theorem)
∠ QJM ≅ ∠ LKJ ( Corresponding Angles Theorem )
⇒ ∠JML ≅ ∠ LKJ ( By transitive property of equality )
Thus, the opposite angles of parallelogram JKLM are congruent.
