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astraxan [27]
3 years ago
8

Find the value of x and y in the following figure where ABCD is a parallelogram​

Mathematics
1 answer:
asambeis [7]3 years ago
5 0

Answer:

x = 3

y = 2

Step-by-step explanation:

Diagonals of a parallelogram bisect each other into two equal segments. Therefore:

3x - 1 = 2(x + 1)

Solve for x

3x - 1 = 2x + 2

Collect like terms

3x - 2x = 1 + 2

x = 3

Also:

5y + 1 = 6y - 1

Collect like terms

5y - 6y = -1 - 1

-y = -2

Divide both sides by -1

y = -2/-1

y = 2

You might be interested in
What’s the radius, circumference, and area?
Ivenika [448]

Answer:

Radius: 19 yards

Diameter: 38 yards

Circumference: 119. 32

Step-by-step explanation:

Radius

To find the radius you divide the diameter by 2 because, the diameter is a; a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.

So 38 ÷ 2 = 19

So the radius is 19.

_____________________

Circumference

To find the Circumference you need to do 2·π·19

C=2·π

2·π = 6.28

6.28 · 19 = 119. 32

Circumference is 119. 32

8 0
3 years ago
3x+112=5x+100 what is the answer I don't get it
slega [8]
Reorder the terms
112 + 3x = 100 + 5x
112 + 3x + (-5x) = 100 + 5x + (-5x)

Combine the like terms
5x + (-5x) = 0
112 + (-2x) = 100 + 0
112 + (-2x) = 100

112 + (-112) + (-2x) = 100 + (-112)
Combine like terms again
112 + (-112) =0
0 + (-2x) = 100 + (-112)
100 + (-112) = (-112) = (-12)
-2x = -12
-12 / -2 = 6
x = 6 <span>✓</span>

Check your work
3 * 6 + 112 = 130
5 * 6 + 110 = 130
130 = 130 ✓
3 0
3 years ago
Kimmy bought a 5kg mg can of peanuts for $4.50 what is the unit price
Lina20 [59]
<span>We know that the cost of 5 kg of peanuts is $4.50, then the unit price per kilogram is $4.50/5 kg = 0.90 $/kg And the unit price per gram is: $0.90 / kg * 1 kg/1000 = 0.0009 $/g or 0.09 cents/gram</span>
5 0
4 years ago
Find the area of the trapezoid.​
Lemur [1.5K]

Answer:

448

Step-by-step explanation:

A=((a+b)/2) h=(17+39)/2·16=448

8 0
3 years ago
An artist can sell 20 compies of a painting for $100 each, but for each additional copy he makes the value of each painting will
ki77a [65]

Answer:

40 copies for $3000

Step-by-step explanation:

First: The Equation

y=(20+x)(100-x)

This shows how for every new painting, the price will go down.

y=2000+80x-x²

Convert it to standard form: ax²+bx+c

You can now choose to graph it or find the vertex form. For the limit of time, I will just use a graph.

The vertex, (40,3000), is your answer, where the x value is the number of paintings and the y value the money made.

4 0
3 years ago
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