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Kryger [21]
3 years ago
12

The given figure is a parallelogram find the value of x and y

Mathematics
2 answers:
e-lub [12.9K]3 years ago
5 0

Answer:

Step-by-step explanation:

In a parallelogram, diagonals bisect each other.

7y - 2 = 5y + 4

7y - 2 - 5y = 4

2y - 2 = 4

2y = 4 +2

2y = 6

y = 6/2

y = 3

3x +2 = 23

3x = 23 - 2

3x = 21

x = 21/3

x = 7

bezimeni [28]3 years ago
5 0

In a parallelogram, diagonals bisect each other.

7y - 2 = 5y + 4

7y - 2 - 5y = 4

2y - 2 = 4

2y = 4 +2

2y = 6

y = 6/2

y = 3

3x +2 = 23

3x = 23 - 2

3x = 21

x = 21/3

x = 7

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Vlada [557]

Answer:

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\displaystyle \boxed{3(4 + 7)}\:(3 \times 4) + (3 \times 7)

Step-by-step explanation:

According to the Order of Operations [GEMS\BOMDAS\PEMDAS etc.], you evaluate everything in parentheses first before preceding with your Division & Multiplication and Subtraction & Addition. When you do this, you will know exactly which expression corresponds with its Distributive Property expression.

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6 0
3 years ago
Decompose x^2+4x-3/x-2​
mariarad [96]

Answer:

\dfrac{x^3-2x^2+4x-3}{x-2}

Step-by-step explanation:

The given equation is :

x^2+\dfrac{4x-3}{x-2}

We need to decompose this equation.

We have,

x^2+\dfrac{4x-3}{x-2}\\\\=\dfrac{x^2(x-2)+4x-3}{x-2}\\\\=\dfrac{x^3-2x^2+4x-3}{x-2}

So, \dfrac{x^3-2x^2+4x-3}{x-2} is the decomposed form of the given expression.

5 0
3 years ago
A shop sells sweets where every 3 sweet wrappers can be exchanged for one more sweet. Kelvin has enough money to buy only 19 swe
drek231 [11]

Answer:

Kelvin can get 6 free sweets

6 0
1 year ago
Simplify the expression by combining like terms if possible. If not possible select already simplified. 4a^2+2a+4a^2-5
vichka [17]
So the expression is: 4 a^{2} + 2a + 4 a^{2} - 5

You can combine like terms, which are terms that contain the same variables raised to the same power. That means you can combine the two 4 a^{2}. 4 a^{2} + 4 a^{2} = 8 a^{2} The other terms can't be combined.

Your final answer should be 8 a^{2} +2a-5.
8 0
3 years ago
Here are the vertices of rectangle FROG: (-2,5),(-2,1),(6,5),(6,1). Find the perimeter of this rectangle. If you get stuck, try
ryzh [129]

Answer:

Part 1) The perimeter of rectangle is equal to 24 units

Part 2) The area of rectangle is equal to 32 square units

Step-by-step explanation:

Part 1) Find the perimeter of rectangle

we know that

The perimeter of rectangle is equal to

P=2(L+W)

where

L is the length of rectangle

W is the width of rectangle

we have

F(-2,5),R(-2,1),O(6,1),G(6,5)

Plot the figure to better understand the problem

using a graphing tool

see the attached figure

Remember that in a rectangle opposite sides are congruent and the measure of each interior angle is equal to 90 degrees

so

FG=RO=L\\RF=OG=W

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 1

Find the distance FG

F(-2,5),G(6,5)

substitute the values

d=\sqrt{(5-5)^{2}+(6+2)^{2}}

d=\sqrt{(0)^{2}+(8)^{2}}

FG=8\ units

step 2

Find the distance RF

R(-2,1),F(-2,5)

substitute the values

d=\sqrt{(5-1)^{2}+(-2+2)^{2}}

d=\sqrt{(4)^{2}+(0)^{2}}

RF=4\ units

step 3

Find the perimeter

P=2(L+W)

we have

FG=RO=L=8\ units\\RF=OG=W=4\ units

substitute

P=2(8+4)=24\ units

Part 2) Find the area of rectangle FROG

we know that

The area of rectangle is equal to

A=LW

we have

FG=RO=L=8\ units\\RF=OG=W=4\ units

substitute

A=(8)(4)=32\ units^2

8 0
3 years ago
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