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Alex787 [66]
3 years ago
15

FWML is a parallelogram. Find the values of x and y. Solve for the value of z, if z=x−y

Mathematics
1 answer:
Dima020 [189]3 years ago
4 0

Answer:

x=5

y=8

z=-3

Step-by-step explanation:

We have been given a parallelogram. We are asked to solve for the values of x and y.

We know that opposite sides of parallelogram are equal, so we can set equation as:

3x-3=x+7

3x-x-3=x-x+7

2x-3=7

2x-3+3=7+3

2x=10

\frac{2x}{2}=\frac{10}{2}

x=5

Similarly, we will solve for y.

2y-6=y+2

2y-y-6=y-y+2

y-6=2

y-6+6=2+6

y=8

To solve for z, we will subtract y from x as:

z=x-y\\z=5-8\\z=-3

Therefore, the value of z is negative 3.

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What is (6x+4) - (4x+2)
Nana76 [90]

Answer:

x = -1

Step-by-step explanation:

1. Simplifying

6x + 4 = 4x + 2

2. Reorder the terms

4 + 6x = 4x + 2 to 4 + 6x = 2 + 4x

3. Solving

4 + 6x = 2 + 4x

4. Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right. Then add '-4x' to each side of the equation.

4 + 6x + -4x = 2 + 4x + -4x

5. Combine like terms: 6x + -4x = 2x

4 + 2x = 2 + 4x + -4x

6. Combine like terms: 4x + -4x = 0

4 + 2x = 2 + 0

4 + 2x = 2

7. Add '-4' to each side of the equation.

4 + -4 + 2x = 2 + -4

8. Combine like terms: 4 + -4 = 0

0 + 2x = 2 + -4

2x = 2 + -4

9. Combine like terms: 2 + -4 = -2

2x = -2

10. Divide each side by '2'.

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4 0
2 years ago
I need help very important
siniylev [52]

Answer:

∠ EFG = 83°, ∠ GCE = 97°

Step-by-step explanation:

Since FE and FG are tangents to the circle then

∠ FGC and ∠ FEC are right angles

The sum of the angles in quadrilateral CEFG = 360°

Sum the 4 angles and equate to 360

3x + 11 + 90 + 5x - 23 + 90 = 360, that is

8x + 168 = 360 ( subtract 168 from both sides )

8x = 192 ( divide both sides by 8 )

x = 24

Thus

∠ EFG = 3x + 11 = 3(24) + 11 = 72 + 11 = 83°

∠ GCE = 5x - 23 = 5(24) - 23 = 120 - 23 = 97°

4 0
3 years ago
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Furkat [3]

Answer: A IS CORRECT

Step-by-step explanation:

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3 years ago
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