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3 years ago

LMNP is a rectangle. Find the value of x and the length of each diagonal. LN=6x+9and MP=9x−6

Mathematics

1 answer:

Alexus [3.1K]3 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

The diagonals of a rectangle are congruent, thus

MP = LN , substitute values

9x - 6 = 6x + 9 ( subtract 6x from both sides )

3x - 6 = 9 ( add 6 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

Thus

MP = 9(5) - 6 = 45 - 6 = 39 and LN = 6(5) + 9 = 30 + 9 = 39

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Answer:

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1 year ago

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Sonja [21]

Answer:

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Step-by-step explanation:

$1\frac{1}{4}$ , $-1\frac{1}{2}$ , $-\frac{37}{50}$ , $-\frac{3}{4}$ , $2\frac{3}{4}$ , $\frac{5}{4}$

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$-1\frac{1}{2}$ , $-\frac{37}{50}$ , $-\frac{3}{4}$

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3 years ago

Write an expression to represent the phrase, "6 of one thing plus half a dozen of the other"

yawa3891 [41]

'of' means multiply
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6 of one thing means 6 times x
plus means ad
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2 variables
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4 0

3 years ago

Find the distance between (-3, -11) and (8, -42)

Marianna [84]

Answer:

32.8937 units

Step-by-step explanation:

So, we can imagine this as a right triangle with a length of 11 (THe change of the X's) and the height being 31 (Change of the Y's)

Then we use pythagorean therom to find the hypotenuse (the length)

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2 years ago

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choli [55]

Answer:

RM79 608.51

Step-by-step explanation:

First year,

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=RM25 252.50

second year,

(RM505 050.00+RM25 252.50)×5%=RM530 302.50×5/100

=RM26 515.13

third year,

(RM530 302.50+RM26 515.13)×5%=RM556817.63×5/100

=RM27840.88

three years interest,

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8 0

3 years ago