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Elanso [62]
2 years ago
14

Unit 3 parallel and perpendicular lines answer key

SAT
1 answer:
TiliK225 [7]2 years ago
4 0

Answer:

Which gradeeeee********

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Complete the following steps to calculate the altitude of the parallelogram using area methods. The area of the sheet of paper i
stiks02 [169]

Based on the calculations, we have the following:

  1. The area of the sheet of paper is 96 square inches.
  2. The combined area of the triangle cutouts is equal to 36 square inches.
  3. The area of the parallelogram is equal to 60 square inches.
  4. The altitude of the parallelogram is equal to 6.51 square inches.

<u>Given the following data:</u>

  • Dimension of paper = 12-inch by 8-inch.

<h3>How to calculate the paper's area.</h3>

Mathematically, the area of the paper is given by this formula:

Area = length \times breadth\\\\Area = 12 \times 8

Area = 96 square inches.

<u>For the four (4) right triangles:</u>

  • Dimension 1 = 2 inches by 9 inches.
  • Dimension 2 = 3 inches by 6 inches.

Therefore, the combined area of the triangle cutouts is given by:

A_2= (2 \times \frac{1}{2} \times 2 \times 9) + 2 \times \frac{1}{2} \times 3 \times 6\\\\A_2=18+18\\\\A_2=36\;in^2

<h3>The area of the parallelogram.</h3>

This would be determined by subtracting the area of the four (4) right triangles from the areas of the paper as follows:

P = A_p -A_2\\\\P=96-36

P = 60 square inches.

<h3>The altitude of the parallelogram.</h3>

P = base \times altitude\\\\Altitude =\frac{P}{base} \\\\Altitude =\frac{60}{9.22}

Altitude = 6.51 square inches.

Read more on parallelogram here: brainly.com/question/4459854

<u>Complete Question:</u>

A parallelogram is cut out of a 12-inch by 8-inch sheet of paper. There are four right triangle remnants. Two have the dimensions 2 inches by 9 inches, and the other two have the dimensions 3 inches by 6 inches. The resulting parallelogram has a base of approximately 9.22 inches.

8 0
2 years ago
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Making Sentences(not least than eight words)
faltersainse [42]

Answer:

1. A man Is expected to lead a life of dignity.

2. The tired students went back home after a long day of revelry.

3.An acknowledged expert was invited to tour our campus.

4. The woman was blessed by health and good fortune.

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2 years ago
A client wants to know the total addressable market for mattress sales in New York City. Without calculating the actual number,
Stella [2.4K]
Its the second one i think. It isn't calculating any actual number, it is giving a sort of broad answer of everyone that needs it new or replaced
6 0
3 years ago
Use the story "the landlord's mistake" from fifty famous people by james baldwin to answer the question.
shepuryov [24]

The theme of the story ""The Landlord's Mistake" from Fifty Famous People by James Baldwin to answer the question" is "treat everyone with equality and kindness"

The complete question:

In one to two sentences, describe the theme of the excerpt.

<h3>The story "The Landlord's Mistake" from Fifty Famous People by James Baldwin</h3><h3 />

When John Adams was president and Thomas Jefferson was vise president of the United States, there was not a railroad in all the world.

People did not travel very much. There were no broad, smooth highways as there are now. The roads were crooked, muddy, and rough.

If a man had to go from one city to another, he often rode on horseback. Instead of a trunk for his clothing, he carried a pair of saddlebags. Instead of sitting at his ease in a parlor car, he went jolting along thru mud and mire, exposed to wind and weather.

One day, some men were sitting by the door of a hotel in Baltimore. As they looked down the street, they saw a horseman coming. He was riding very slowly, and both he and his horse were bespattered with mud.

"There comes old Farmer Mossback," said one of the men, laughing. "He's just from the backwoods."

Another said, "He seems to have had a hard time of it." I wonder where he'll put up for the night.

"Oh, any kind of place will suit him," answered the landlord. "He's one of those country fellows who can sleep in the haymow and eat with the horses."

The traveler was soon at the door. He was dressed plainly, and, with his reddish-brown hair and mud-bespattered face, looked like a hard-working countryman just out of the backwoods.

"Have you got a room here for me?" he asked the landlord.

Now the landlord prided himself on keeping a first-class hotel, and he feared that his guests would not like the rough-looking traveler. So he answered: "No, sir. Every room is full. The only place I could put you would be in the barn. "

Well, then, "answered the stranger," I will see what they can do for me at the Planters' Tavern, round the corner;" and he rode away.

About an hour later, a well-dressed gentleman came into the hotel and said, "I wish to see Mr. Jefferson."

"Mr. Jefferson!" said the landlord.

"Yes, sir. "Thomas Jefferson, the vise president of the United States."

"He isn't here."

Oh, but he must be. I met him as he rode into town, and he said that he intended to stop at this hotel. He has been here for about an hour. "

"No, he hasn't. The only man that had been here for lodging today was an old clodhopper who was so spattered with mud that you couldn't see the color of his coat. I sent him round to the Planters'. "

Did he have reddish-brown hair, and did he ride a gray horse?

"Yes, and he was quite tall."

"That was Mr. Jefferson," said the gentleman.

"Mr. Jefferson!" cried the landlord. Was that the vise president? Here! Build a fire in the best room. Put everything in tiptop order, Sally. What a dunce I was to turn Mr. Jefferson away! He shall have all the rooms in the house, and the ladies' parlor, too. I'll go right round to the Planters' and fetch him back. "

So he went to the other hotel, where he found the vise president sitting with some friends in the parlor.

"Mr. Jefferson," he said, "I have come to ask your pardon. You were so bespattered with mud that I thought you were some old farmer. If you come back to my house, you'll have the best room in it—yes, all the rooms if you wish. Won't you come? "

"No, "answered Mr. Jefferson. "A farmer is as good as any other man; and where there's no room for a farmer, there can be no room for me."

The story teaches to be fair with everyone irrespective of their looks, dress or physical characteristics. He treated the vice president Mr Jefferson badly because he thought Mr Jefferson was a poor farmer.

Learn more about theme:

brainly.com/question/26450302

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2 years ago
Find the glide reflection image of the black triangle
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What image ? you have to attach it
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