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3241004551 [841]
3 years ago
15

Twelve and three tenths more than five and thirteen thousandths of a number d is equal to fifteen and three hundred two thousand

ths. What is the value of d?
Mathematics
1 answer:
Masja [62]3 years ago
7 0
12 and 3/10 more than 5 and 13/1000 of d equals 15 and 302/1000
12 and 3/10+(5 and 13/1000 times d)=15 and 302/1000
convert to improper fractions
12 and 3/10=123/10
5 and 13/1000=5013/1000
15 and 302/1000=15302/1000

123/10+(5013/1000 times d)=15302/1000
subtract 123/10 from both sides
123/10=12300/1000
(15302-123000)/1000=2698/1000
5013/1000 times d=2698/1000
multiply both sides by 1000/5013 to clear fraction
d=2698/5013

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Answer:

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Step-by-step explanation:

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The possible coordinates for the vertex D of the parallelogram could be (-4, 3)

It is given that A(1, –1), B (–1, 3), and C (4, –1) are the three vertices of the parallelogram.

Let us assume that the vertices are in the order A, C, B, and D where the coordinates of D are (a, b).

In this scenario, if we join AB and CD, they will become the diagonals of the parallelogram ABCD.

According to the properties of a parallelogram, diagonals bisect each other.

Hence, mid-point of AB = mid-point of CD

Now, according to the mid-point theorem, if mid-point of AB is given as (x,y), then,

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Then, x = ( 1 - 1)/2 and y = (-1 + 3)/2

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Since (x, y) is also the mid-point of CD, we also have,

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x₂ = a, y₂ = b

Then, x = (4 + a)/2 and y = (-1 + b)/2

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From (1) and (2),

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a = -4 and b = 3

Hence, the fourth vertex D of the parallelogram can be possibly located at (-4, 3)

Learn more about a parallelogram here:

brainly.com/question/1563728

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That means 15 : 5 or 15 to 5
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