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777dan777 [17]
3 years ago
12

What is the area of the parllelogtam shown below

Mathematics
1 answer:
Umnica [9.8K]3 years ago
6 0
<h3>Answer: 16 square units</h3>

Let x be the height of the parallelogram. Right now it's unknown, but we can solve for it using the pythagorean theorem. Focus on the right triangle. It has legs a = 3 and b = x, with hypotenuse c = 5

a^2 + b^2 = c^2

3^2 + x^2 = 5^2

9 + x^2 = 25

x^2 = 25-9

x^2 = 16

x = sqrt(16)

x = 4

This is a 3-4-5 right triangle.

The height of the parallelogram is 4 units.

We have enough info to find the area of the parallelogram

Area of parallelogram = base*height

Area of parallelogram = 4*4

Area of parallelogram = 16 square units

Coincidentally, the base and height are the same, which isn't always going to be the case. The base is visually shown as the '4' in the diagram. The height is the dashed line, which also happens to be 4 units long.

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VashaNatasha [74]

Answer:

36

Step-by-step explanation:

The first step to solving this equation is multiplying. Multiply the numbers on the inside of the square root.

18 × 18 × 4 = 1296

Now, you are going to find the square root of 1296.

\sqrt{1296} = 36

You now have your final answer.

I hope this makes sense and is easy to understand. Please let me know if you need any more help. Have a great day! :]

3 0
3 years ago
Read 2 more answers
Is AB parallel to CD? Explain.
professor190 [17]

Answer:

yes,because parallel line are lines with point which do not meet and the two lines in the plane will not meet nor intersect .

Step-by-step explanation:

obviously a parallel line

8 0
3 years ago
Sheila is building an addition to a house. The points E(- 1 1/2, -2 1/2), F(4 1/2, -2 1/2), G(4 1/2, 3 1/2), and H (9-1 1/2, 3 1
Helga [31]

Answer:

24 units

Step-by-step explanation:

8 0
2 years ago
24. Vince spent half of the money in his wallet on a new jumper
11111nata11111 [884]

Let the money alleli initially had be x

Money after buying clothes = x-(1/2)x=(1/2)x

Money spent on shoes = (1/2)x × (1/3)x=(1/6)x

Remaining money = x minus( (1/2)x + (1/6)x)= (1/3)x

Also we know the remaining money is 1000

Therefore

(1/3)x = 1000

Multiplying 3 on both sides

X = 3×1000

X = 3000

The initial amount she had is 3000

Hope this is right!!

5 0
3 years ago
Solve the system of equations by multiplying and adding. Enter the solution as an ordered pair.
GREYUIT [131]

Answer:

(x, y) = (- 3, 4)

Step-by-step explanation:

Given the 2 equations

5x + 2y = - 7 → (1)

4x - y = - 16 → (2)

multiply all terms in (2) by 2

8x - 2y = - 32 → (3)

Add (1) and (3) term by term

(5x + 8x) + (2y - 2y) = (- 7 - 32)

13x = - 39 ( divide both sides by 13 )

x = - 3

Substitute x = - 3 into either (1) or (2) and solve for y

substituting in (1) gives

(5 × - 3) + 2y = - 7

- 15 + 2y = - 7 ( add 15 to both sides )

2y = 8 ( divide both sides by 2 )

y = 4

solution is (- 3, 4 )


3 0
3 years ago
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