What is the gcf of 51 and 3

Mathematics

1 answer:

viva [34]2 years ago

6 0

Answer:

3

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor (GCF).

The factors of 51: 1, 3, 17 and 51.
The factors of 3: 1,3

So the greatest number of both is 3

Hope this helps

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Given: LP=NP ML=MN Prove: LQ=QN

julsineya [31]

Answer:

The Proof is below.

Step-by-step explanation:

Given:

$\overline {LP} \cong \overline{NP}$

$\overline {ML} \cong \overline{MN}$

To Prove:

$\overline {LQ} \cong \overline{QN}$

Proof:

In ΔLPM and ΔNPM

$\overline {LP} \cong \overline{NP}$ ……….{Given}

$\overline {ML} \cong \overline{MN}$ ……….{Given}

$\overline {LP} \cong \overline{NP}$ ……….{Reflexive Property}

ΔLPM ≅ ΔNPM ….{ By Side-Side-Side congruence test}

∴ ∠LMP ≅ ∠NMP ...{Corresponding parts of congruent triangles (c.p.c.t).}.....( 1 )

Now In ΔLMQ and ΔNMQ

$\overline {ML} \cong \overline{MN}$ ……….{Given}

∠LMQ ≅ ∠NMQ ..........{From 1 above}

$\overline {MQ} \cong \overline{MQ}$ ……….{Reflexive Property}

ΔLMQ ≅ ΔNMQ ....{ By Side-Angle-Side Congruence test}

∴ $\overline {LQ} \cong \overline{QN}$ ...{Corresponding parts of congruent triangles (c.p.c.t).}.....Proved

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What type of information do you need to be given to prove two triangles are congruent?

marusya05 [52]

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