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3 years ago

Find the greatest number which divides 323,539 and 827 leaving remainder 35 in each case

Mathematics

1 answer:

hammer [34]3 years ago

8 0

Answer:

Step-by-step explanation:

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I need some help with this

masya89 [10]

Answer:

A, C, D

Step-by-step explanation:

Consider triangles NKL and NML. These triangles are right triangles, because

$m\angle K=m\angle M=90^{\circ}$

In these right triangles:

$\overline{NL}\cong \overline {NL}$ - reflexive property;
$\angle KLN\cong \angle MLN$ - given

Thus, triangles NKL and NML by HA postulate. Congruent triangles have congruent corresponding parts, so

$\overline{KN}\cong \overline{NM}\\ \\\overline{KL}\cong \overline{LM}\ [\text{option D is true}]$

Since

$\overline{KN}\cong \overline{NM},$

then

$7x-4=5x+12\\ \\7x-5x=12+4\\ \\2x=16\\ \\x=8\ [\text{option A is true}]\\ \\MN=KN=7\cdot 8-4=56-4=52\ [\text{option C is true}]$

Option B is false, because KN=52 units.

Option E is false, because LN is congruent KN, not LM

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vladimir2022 [97]

Determine whether the point 1,5 is a solution to the system of inequalities below y>3x , y>/2x+1

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Answer:

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Find the greatest number which divides 323,539 and 827 leaving remainder 35 in each case​

Find the greatest number which divides 323,539 and 827 leaving remainder 35 in each case