Given ad=cf bc=de prove: ab=ef 1. ad=cf given 2. ad= ab + bc +cd cf=cd +de + ef segment addition 3. ab+bc+cd= cd +de +ef transitive property of equality 4. ab+bc=de +ef 5. bc=de given 6. ab=ef what is the reason for the for statement in this proof

Option C. Subtraction Property of Equality

Step-by-step explanation:

    Statement                           Reason

3. AB+BC+CD=CD+DE+EF     Transitive Property of Equality

If we subtract CD from both sides of the equation:

AB+BC+CD-CD=CD+DE+EF-CD

    Statement           Reason

4. AB+BC=DE+EF    Subtration Property of Equality

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,