Complete the point-slope equation of the line through ( 1 , 3 ) (1,3)left parenthesis, 1, comma, 3, right parenthesis and ( 5 , 1 ) (5,1)left parenthesis, 5, comma, 1, right parenthesis. Use exact numbers. y − 3 = y−3=y, minus, 3, equals

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

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,

2/3

step-by-step explanation: