Mathematics, 03.08.2019 18:00 salazarx062

If segment ln is congruent to segment np and ∠1 ≅ ∠2, prove that ∠nlo ≅ ∠npm: overlapping triangles lno and pnm. the triangles intersect at point q on segment lo of triangle lno and segment mp of triangle pnm. hector wrote the following proof for his geometry homework for the given problem. statements reasons segment ln is congruent to segment np given ∠1 ≅ ∠2 given reflexive property δlno ≅ δpnm angle-angle-side postulate ∠nlo ≅ ∠npm corresponding parts of congruent triangles are congruent which of the following completes hector's proof?

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I have seen Your question before many times:

If segment LN is congruent to segment NP and ∠1 ≅ ∠2, prove that ∠NLO ≅ ∠NPM:

Overlapping triangles LNO and PNM. The triangles intersect at point Q on segment LO of triangle LNO and segment MP of triangle PNM.

Hector wrote the following proof for his geometry homework for the given problem:

StatementsReasons
segment LN is congruent to segment NPGiven
∠1 ≅ ∠2Given
∠N ≅ ∠NReflexive Property
ΔLNO ≅ ΔPNMAngle-Angle-Side Postulate
∠NLO ≅ ∠NPM

Which of the following completes Hector's proof?
Angle Addition Postulate
Converse of Corresponding Angles Postulate
Corresponding Parts of Congruent Triangles Are Congruent
Triangle Proportionality Theorem

The
The missing reason to complete Hector's proof is
Corresponding Parts of Congruent Triangles Are Congruent
It's been established in the previous statement that triangle LNO and triangle PNM are congruent by the AAS Postulate.
The proof:
Corresponding Parts of Congruent Triangles Are Congruent
is comprehensive.

Hope I helped!!!

Answer from: manuel6885

Answers: LNM MLN reflexive property ASA

It is given that angle LNO is congruent to angle LNM and angle OLN is congruent to angle MLN. We know that side LN is congruent to side LN because of the Reflexive Property. Therefore, because of ASA , we can state that triangle LNO is congruent to triangle LNM.

thank me later x)

Answer from: Quest

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation:

Answer from: Quest

answerim :

step-by-step explanation:

im not sure but my dad knows

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If segment ln is congruent to segment np and ∠1 ≅ ∠2, prove that ∠nlo ≅ ∠npm: overlapping triangles...

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