Division + line segment - practice problems
Number of problems found: 28
- A 100-inch
A 100-inch stick is to be divided into four using the ratio 2: 5: 7: 11. How long is the longest piece?
- Halfway 82508
Which number is halfway between a quarter of a fifth and a half of a third on the number line?
- Segments 80547
AB segment = 14 cm, divide it into two segments whose lengths are in the ratio 4:3.
- Divide line segment
Find the point P on line segment AB, such that |AP| = r |AB|. Coordinates of endpoints: A = (−2, 0, 1), B = (10, 8, 5), ratio r = 1/4.
- Divided 71124
We divided line AB into two parts in a ratio of 3:5. The longer part was 6 cm longer than the shorter part. How long was the whole line in cm?
- Specify 69484
How do you divide a 3m long rod in a ratio of 1:5? Specify the length of both parts in cm.
- Lengths 69314
We must cut three steel bars with 24 dm, 3 m, and 160 cm lengths into equal lengths. Find their maximum length and number.
- Dividing rod
The 3m long rod should be divided into two parts so that one is 16cm longer than the other. Find the lengths of both parts.
- Trisection of a line segment
Divide the line segment AB into three equal parts. Instructions: Construct an equilateral triangle ABC and find its center (e.g., the described circles).
- Construct 8
Construct an analytical geometry problem where it is asked to find the vertices of a triangle ABC: The vertices of this triangle are points A (1,7), B (-5,1) C (5, -11). The said problem should be used the concepts of distance from a point to a line, rati
- A rope
Paul can cut a rope into equal lengths with no rope left over. The lengths can be 15cm, 18cm, or 25cm. What is the shortest possible length of the rope?
- Line segment
Line segment AB is 8 cm long. Divide it by a ratio of 2:3.
- Four-sevenths 34451
In how many parts do I have to divide the line whose endpoints are the images of the numbers 0 and 1 on the number axis so that they can be displayed: three-fifths, four-sevenths, five-eighths, and six-sixths
- Reduction 33021
Draw the line AB = 14 cm and divide it by the reduction angle in the ratio of 2:9.
- Divide 27883
Divide the line AB 8 cm long in a ratio of 2:5
- Divide in ratio
Line segment AB is 12 cm long, divided in a ratio of 5:3. How long are the individual parts?
- My father
My father cut 78 slats on the fence. The shortest of them was 97 cm long, and the longer one was 102 cm long. What was the total length of the slats in cm?
- Length 20353
The given line is MN with a length of 11 cm. Change its length in the ratio: a) k = 2:1 b) k = 1:2 c) k = 17:11 d) k = 22:33
- Divides 20343
The KL line is 12 cm long. Point X divides the line in a ratio of 1:5. What is the length of line XL if point X is closer to point K?
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