What is the area (in sq. units) of the triangle formed by the graphs of the equations 2x+5y-12=0, x+y=3 and y = 0?

The circumference of the base of a cylindrical vessel is 158.4 cm and its height is 1 m. How many litres of water can it hold (correct to one decimal place)?

(Take π = 22/7)

In ΔABC, D is a point on side BC such that ∠ADC = 2∠BAD. If ∠A = 80° and ∠C = 38°, then what is the measure of ∠ADB?

The perimeters of ΔABC and ΔDEF are 43.2 cm and 28.8 cm, respectively, and ΔABC ~ ΔDEF. If DE = 12 cm, then the length of AB is:

Given that ΔDEF ~ ΔABC. If the area of ΔABC is 9 cm² and area of ΔDEF is 12cm2 , BC = 2.1 cm, then the length of EF is:

In △ABC, D and E are the mid points of sides BC and AC, respectively. If AD = 10.8 cm, BE = 14.4 cm and AD and BE intersect at G at a right angle, then the area (in cm²) of △ABC is:

ABCD is a cyclic quadrilateral. Diagonals BD and AC intersect each other at E. If <BEC = 128° and <ECD = 25°, then what is the measure of <BAC?

The sides BA and DE of a regular pentagon are produced to meet at F. What is the measure of ∠EFA?