Line + direct relationship - practice problems - last page
Number of problems found: 40
- Trapezoid - intersection of diagonals
In the ABCD trapezoid is AB = 8 cm long, trapezium height 6 cm, and distance of diagonals intersection from AB is 4 cm. Calculate the trapezoid area. - Distance 5773
The air distance from the hotel to the castle is 4.4 km. What is the map's scale on which this distance is shown by a line 4 cm long? - Isosceles 5575
The picture shows an isosceles triangle VLK with a center of gravity of T. The base VL measures 16 cm, and the line KK1 measures 18 cm. How long is the VV1 line? - Specify 5462
P (x) = 15x- (5x + 10,000) specify x so that P (x) = 0
- MO Z9–I–2 - 2017
VO is a longer base in the VODY trapezoid, and the diagonal intersection K divides the VD line in a 3:2 ratio. The area of the KOV triangle is 13.5 cm². Find the area of the entire trapezoid. - Points on line segment
Points P and Q belong to segment AB. If AB=a, AP = 2PQ = 2QB, find the distance between point A and the midpoint of segment QB. - Line segment
Cut a line segment of 15 cm into two line segments so that their lengths are in a ratio of 2:1. What length will each have? - Parcel 4
Send a parcel by messenger within city limits costs 60 cents for the first pound and 48 cents for each additional pound. What is the cost, in cents, of sending a parcel weighing p=4 pounds? - Sides of the triangle
The sides of the triangle ABC have a length of 4 cm, 5 cm, and 7 cm. Construct triangle A'B'C', similar to triangle ABC, which has a circumference of 12 cm.
- Distance 4869
Two places have a distance of 4 cm on a map with a scale of 1:75 000. What is their distance on a 1:50,000 scale map? - What scale
What scale is the map drawn if it shows a 15km route from the station to the ruins with a line 30cm long? A) 1: 2000 B) 1: 5000 C) 1: 20,000 D) 1: 50,000 - Coefficient: 3849
Determine the similarity coefficient: a) 4.8; 5.6; 8.4 b) 1.44; 1.68; 2.52 - Distance 3575
The distance between the two cities is 25km. This distance was drawn on the map by a line 5 cm long. What is the scale of the map? - Smokovec 3565
On a tourist map with a scale of 1:20 000, the distance between Starý Smokovec and Nový Smokovec is 24 cm. What is the actual distance?
- Distance 3245
A map has a scale of 1:55,000. A line of 10 cm shows the distance between places A and B. How long is the distance in reality? - Supermarket cashiers
When only two checkouts are open in a supermarket, people wait in line for an average of 12 minutes. How much will the average waiting time in line be reduced if they open three more ticket offices? - Map 2
At what scale is a map made if the distance 8.2 km corresponds to the map segment 5 cm long? - Slope RR
A line has a rise of 2 and a run of 11. What is the slope? - Mine
In the mine, at depth 18 m is 12°C, and every 50 m, the temperature increases by 1°C. What is the temperature at a depth of 1615 m?
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