Answer:
Step-by-step explanation:
QM is the angle bisector of ∠LMP
∠LMQ = ∠QMP
QM is the angle bisector of ∠PQL
∠PQM = ∠MQL
MQ = QM as common
By ASA, triangle MQP ≅ MQL
LM = PM and LQ = PQ as they are same side of congruent triangles
Triangle LPQ and LPM are isosceles
By angle bisector theorem, LP is perpendicular to MQ
By properties of rhombus, the two diagonals are perpendicular proves that LMPQ is a rhombus.
LM ≅ PQ
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Answer:
B = 1.875
Step-by-step explanation:
given that A varies directly as B and inversely as C then the equation relating them is
A = 
← k is the constant of variation
to find k use the condition A = 12 when B = 3 and C = 2 , then
12 = 
( multiply both sides by 2 to clear the fraction )
24 = 3k ( divide both sides by 3 )
8 = k
A = 
← equation of variation
when A = 10 and C = 1.5 , then
10 = 
( multiply both sides by 1.5 )
15 = 8B ( divide both sides by 8 )
1.875 = B
Combine like terms. So that means combine the X's and combine the regular numbers.
- add 2x to 8x
- combine +15 -5
- then add 11 to that
- once you're done, find X by dividing 10x by whatever you have after the = sign
