Given that H is the midpoint of FK¯¯¯¯¯¯ and that ∠F≅∠K, which of the following triangle congruence statements can be used to prove that JK¯¯¯¯¯≅FG¯¯¯¯¯? The figure shows two triangles F H G and K H J with a common vertex H. Points F, H, K lie on one line. Points G, H, J lie on one line.

ANSWERS ARE ON OF THE FOLLOWING
Side-Angle-Side Congruence
Side-Side-Angle Congruence
Angle-Side-Angle Congruence
Side-Side-Side Congruence

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

answer:

total cost for tiles and paints is $924.  

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

given: 1m squared floor tiles costs $3. so,

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

therefore, the combined total cost of tiles and paint is $924.