"The difference between four-fifths of
a number and 11 is -46."

The number is -43.75.

Step-by-step explanation:

4x/5 - 11 = -46

4x/5 = -35

x = -43.75

-43.75

Step-by-step explanation:

This is the answer because:

1) We know that 4/5 of a number has to equal -35 since -46 + 11 = -35.

2) 4/5x = -35 (solve for x): -35 ÷ 4/5 = -43.75

3) 4/5 x -43.75 = -35, I got this by solving for x (look at step 2)

Therefore, the answer is -43.75

Hope this helps! :D

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4