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Mathematics

2 answers:

shusha [124]3 years ago

7 0

Answer: x = 8

MN = 52

LK is congruent to LM

LN is congruent to NL

ΔKLN and ΔMLN have:

LN ≅ LN

∠K = ∠M = 90°

∠KLN = ∠MLN

=> ΔKLN ≅ ΔMLN

=> KN = MN

=> 7x -4 = 5x + 12

⇔ 2x = 16

⇔ x = 8

=> KN = MN = 7.8 - 4 = 52

Step-by-step explanation:

Ksju [112]3 years ago

5 0

Answer:

x=8

KN=24

LK is congruent to LM

LN is congruent to NL

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Order from least to greatest 4/7,5/8,0.7,72%

Olegator [25]

Answer:

$\huge\boxed{\dfrac{4}{7};\ \dfrac{5}{8};\ 0.7;\ 72\%}$

Step-by-step explanation:

Two ways.

1. Convert to the decimal:

$\dfrac{4}{7}=4:7=0.\overline{571428}\\\\\dfrac{5}{8}=5:8=0.625\\\\0.7=0.7\\\\72\%=\dfrac{72}{100}=0.72$

therefore

$0.\overline{571428}$

$\dfrac{4}{7};\ \dfrac{5}{8};\ 0.7;\ 72\%$

2. Convert to the fractions with common denominator.

$\dfrac{4}{7};\ \dfrac{5}{8}\\\\0.7=\dfrac{7}{10}\\\\72\%=\dfrac{72}{100}=\dfrac{18}{25}$

$LCD=7\cdot8\cdot5\cdot5=1400\\\\\dfrac{4}{7}=\dfrac{4\cdot200}{7\cdot200}=\dfrac{800}{1400}\\\\\dfrac{5}{8}=\dfrac{5\cdot175}{8\cdot175}=\dfrac{875}{1400}\\\\0.7=\dfrac{7}{10}=\dfrac{7\cdot140}{10\cdot140}=\dfrac{980}{1400}\\\\72\%=\dfrac{72}{100}=\dfrac{72\cdot14}{100\cdot14}=\dfrac{1008}{1400}\\\\\dfrac{800}{1400}$