The length of the bottom of a trapezoid is three times that of the top, and the top is extended by 8 cm to form a parallelogram with an area of 288 square cm How many square centimeters is the original trapezoid area?

Extending the upper bottom by 8 cm can form a parallelogram, and the upper bottom is three times of the lower bottom
Upper sole = 8 / (3-1) = 4cm, lower sole = 3 × 4 = 12cm
Height of parallelogram = 288 △ 12 = 24cm
Trapezoid area = (4 + 12) × 24 △ 2 = 192 square centimeter

If △ ABC ~ △ DEF is known and the perimeter ratio of △ ABC to def is 3:1, what is the area ratio of △ ABC to △ def

9:1

What's a good composition about imagination

In a forest, there are many small animals: Tiger brother, goat grandfather, and our family Because I was at the age of primary school, I would go to school tomorrow. Unexpectedly, on the first day of school, I was late. So my mother bought a crowing alarm clock from Uncle hippo. The next day, I was still late. After school, my mother and I came to Uncle hippo's shop with the alarm clock. First of all, my mother said angrily, "what alarm clock do you sell? There is no sound, My son was late for school and was punished by the teacher for standing for three hours. "Uncle Hippo said apologetically," I'm sorry, maybe the pronunciation of the alarm clock is broken. I'll just adjust the sound now. "" hurry up, I'll go home for dinner! "Mother pig said angrily. Uncle Hippo took out the parts and saw that the alarm clock was not broken. He thought: the alarm clock is not broken at all. Forget it, On the third day, I was punished by the teacher again. My mother and I came to the alarm clock store after dinner. As soon as we arrived, my mother slapped the table and yelled, "you haven't fixed it. There's no sound at all." Uncle Hippo said, "can it be that you can't hear me?" my mother thought, her face was a little red, He said, "maybe it is." Uncle Hippo took the tools for about three minutes and said, "this should be OK." the other morning, I heard the sound of killing pigs and jumped up in fright. I cried, "Mom, Dad, the pig killer is coming." Dad and mom ran over and saw the alarm clock at a glance. They comforted me: "don't worry, it's the sound of the alarm clock." I looked at it and sighed, Said: "scared to death me." mother said to me: "baby, with this alarm clock, you will never be late again." I jumped up happily again: "ah, I won't be late again!"
　　
Friends, do you know who I am now? In fact, I am little pig
　　

New curriculum standard synchronous unit practice mathematics seventh grade volume I answers
Write the last number in the following column: 7,2,5, - 3,8, - 11_____

The rule is that from the third number, each number is equal to the difference between the first two numbers

A rectangular foundation, drawn on a plan with a scale of 1:11500, is 6cm long and 4cm wide. What is the area of the foundation?

Length 6cm actual length = 6 * 11500 = 69000cm = 690m
Width 4cm actual width = 4 * 11500 = 46000cm = 4600m
Actual area = 690 * 460 = 317400 square meters
A: the actual area is 317400 square meters

Xiaoming's mother is going to lead Xiaoming and some children of his relatives to form a tour group to travel in the summer. The promotion method of travel agency a is "one adult who leads the group will buy a full ticket, and the rest of the children will get a half price discount on group tickets"; the promotion method of travel agency B is "all adults including the group will get a 60% discount on the full ticket price". If the service quality of the two travel agencies is the same (1) when the number of children is the same, the total charge of the two travel agencies is the same? (2) Discuss which travel agency is more favorable in terms of the number of children

(1) Suppose that when the number of children is x, the total charges of two travel agencies are the same, the total charges of travel agency a are 240 + 120x, the total charges of travel agency B are (x + 1) × 240 × 0.6, if the two charges are the same, then: 240 + 120x = (x + 1) × 240 × 0.6, the solution is: x = 4, so when the number of children is 4, the total charges of two travel agencies are the same. (2) the total charges of travel agency a are 240 + 120x, the total charges of travel agency B are 240 + 120x According to the first question, when x = 4, the total charges of the two companies are equal; when x ＜ 4, 240 + 120x ＞ (x + 1) × 240 × 0.6, so travel agency B is more preferential; when x ＞ 4, 240 + 120x ＜ (x + 1) × 240 × 0.6, so travel agency a is more preferential

Divide the regular hexagon shown in Figure 1 into Figure 2, then divide the smallest regular hexagon in Figure 2 into Figure 3 in the same way, and then divide the smallest regular hexagon in Figure 3 in the same way In the fifth figure, there are______ A regular hexagon

There are 3n-2 regular hexagons in the nth graph. 3 × 5-2 = 15-2 = 13 answer: there are 13 regular hexagons in total

Give five examples of translation

1. The elevator is in operation
2. The train runs on a straight track
3. Ducks float in a straight line in the water
4. The boat moves horizontally at a constant speed in the water
5. People walk in a straight line on the ground

ABCD_ A'b'c'd 'is a parallelepiped. Let AB = a, ad = B, AA' = C, e, f be the midpoint of ad '. Then what is the vector EF equal to

This problem can be done by using the definition of vector. There are two main knowledge points: 1. Translation of vector. 2. Parallelogram diagonal bisects each other. X0d is used as auxiliary line. It connects AC and intersects BD at point F '. Because parallelogram diagonal bisects each other, f' bisects BD. that is, point F coincides with point F. point F bisects AC

As shown in the figure, the center line Bo on the hypotenuse of ABC at the angle Bo + RT leads to the point D, so that Bo = do connects ad, and CD is a quadrilateral ABCD + rectangle? Please explain the reason
The picture is not drawn

Certification:
AO=OC,BO=OD
Then the quadrilateral ABCD is a parallelogram,
And the angle ABC is a right angle,
So the quadrilateral ABCD is a rectangle

The length of the bottom of a trapezoid is three times that of the top, and the top is extended by 8 cm to form a parallelogram with an area of 288 square cm How many square centimeters is the original trapezoid area?