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Pachacha [2.7K]
3 years ago
8

Find the values of the variables for which ABCD must be a parallelogram

Mathematics
1 answer:
sleet_krkn [62]3 years ago
4 0

Answer:

y=5 and x=4

Step-by-step explanation:

So,the diagonals of a parallelogram bisect each other..

therefore,we have our two eqn

4x-2=3y-1------------(i)

3y-3=3x

or,y-1=x----------(ii)

Now,simply substitute value of x in eqn (i)

4(y-1)-2=3y-1

or,4y-4-2=3y-1

or,y=5

Again,substitute y=5 in eqn (ii)

5-1=x

therefore,

x=5

Hope it helps you!!!

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1. Niles is making a map of his neighborhood. He uses a scale in which 1 cm = 5 km. The distance between his house and the school is 8.5 km.

How many centimeters will there be between his house and school on the map?

1 cm = 5km

8.5 ÷ 5 = 1.7

There will be 1.7 centimeters between his house and school.

3 0
2 years ago
Find the exponential function that satisfies the given conditions: Initial value = 70, decreasing at a rate of 0.5% per week
sdas [7]
Y = 70 e^(.005x) where x is the time in weeks
6 0
3 years ago
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The credit remaining on a phone card (in dollors) is a linear function of the total calling trime made with the card ( in minute
KATRIN_1 [288]

After 85 minutes of calls, there are $27.25 left on the card.

<h3>What is the remaining credit after 85 minutes of calls?</h3>

A linear equation in slope-intercept form is:

y = a*x + b

Where a is the slope.

If the line passes through two points (x₁, y₁) and (x₂, y₂) the slope is:

a = \frac{y_2 - y_1}{x_2 - x_1}

In this case, we know that the line passes through the points (22, 36.7) and (52, 32,20)

(points of the form (time, dollars)).

So the slope is:

a = \frac{32.2 - 36.7}{52 -22} = -0.15

The linear equation is then:

y = -0.15*x + b

To find the value of b, we use the point (22. 36.7)

36.7 = -0.15*22 + b

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Then the linear equation is:

y = -0.15*x +40

The amount remaining in the credit card after 85 minutes is given by evaluating the above equation in x = 85.

y = -0.15*85 + 40 = 27.25

This means that after 85 minutes of calls, there are $27.25 left on the card.

If you want to learn more about linear equations:

brainly.com/question/1884491

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7 0
2 years ago
Create a one step equation using the numbers 4 and 6. One you create the
Nataly [62]

Answer:

x=1.5

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5 0
3 years ago
Circle the ratio which is the same as 1 cm represents 2m<br>1:2<br>1:20<br>1:200<br>1:2000​
Ostrovityanka [42]

Answer:

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if the units are centimeter and meter though, then it's

1:2

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is actually 1cm : 200cm

7 0
3 years ago
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