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Stels [109]
2 years ago
7

Given: QM is the angle bisector of ∠LMP QM is the angle bisector of ∠PQL Prove: LM ≅PQ

Mathematics
2 answers:
photoshop1234 [79]2 years ago
8 0

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

lbvjy [14]2 years ago
5 0

Answer:

Step-by-step explanation:

∠LMQ = ∠QMP     QM is the angle bisector of ∠LMP

∠PQM = ∠MQL     QM is the angle bisector of ∠PQL

MQ = QM                common

MQP ≅ MQL           ASA

LP ⊥ MQ                 angle bisector theorem

LMPQ is rhombus   property of rhombus

LM ≅ PQ                  property of rhombus

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Step-by-step explanation:

Step-by-step explanation:

Year 1 - You earn interest on your Principal.

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Compound interest is the basis of long-term growth of the stock market. It forms the basis of personal savings plans. Compound interest also affects inflation.

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Continuous Compounding - This method uses a natural log-based formula and calculates interest at the smallest possible interval. This interest is added back to the principal. This can be equalled to the constant rate of growth for all natural growth. This figure was born out of physics. It uses Euler’s number which is a famous irrational number which is known to more than 1 trillion digits of accuracy. Euler’s number is denominated by the letter “E”.

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There are two formulas you can use to calculate compound interest, depending on what result you wish to find out. You can find out the following:

The total value of the deposit.

The total compound interest earned.

Value of the Deposit

Formulas can be a deterrent to many. If you aren’t savvy with math, your eyes turn away from these codes or just skip them altogether. But once it’s explained, it’s pretty simple to understand. To calculate the total value of your deposit, the formula is as follows:

P (1+ i/n)nt

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t = Time, meaning the length of time the interest is applicable, generally in years.

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