If the points A(1,-2), B(2,3), C(-3,2) and D(-4,-3) are the vertices of parallelogram ABCD, then taking AB as the base, find the height of this parallelogram.
Kristen lives directly east of the park. The football field is directly south of the park. The library sits on the line formed between Kristen’s home and the football field at the exact point where an altitude to the right triangle formed by her home, the park, and the football field could be drawn. The library is 2 miles from her home. The football field is 8 miles from the library. How far is library from the park?
A rectangular tank containing some pebbles was 80% filled with water.When all the pebbles were removed, the water level dropped to 25% of its original height.The volume of the water left in the tank was 3 litres.
a)Find the capacity of the tank.
b)If the volume of each pebble is 60 cm3,how many pebbles were there in the tank.
find the measure of angle abd if the measure of angle abc=57, the measure of angle abd is represented by 2x-1 and the measure of angle dbc is represented by 5x+2