Answer:
Here is the full proof:
AC bisects ∠BCD Given
∠CAB ≅ ∠CAD Definition of angle bisector
DC ⊥ AD Given
∠ADC = 90° Definition of perpendicular lines
BC ⊥ AB Given
∠ABC = 90° Definition of perpendicular lines
∠ADC ≅ ∠ABC Right angles are congruent
AC = AC Reflexive property
ΔCAB ≅ ΔCAD SAA
BC = DC CPCTC
Answer:
see explanation
Step-by-step explanation:
To show f and g are inverses we require to show that
f(g(x)) = x and g(f(x)) = x
f(g(x))
= f(6x - 4)
=
=
= x
-----------------------------------------------------------------------------
g(f(x))
= g(
)
= ( 6 ×
) - 4
= x + 4 - 4 = x
-------------------------------------------------
Hence f and g are inverses
Answer:
time taken to walk one mile × total distance in miles = total time
t × 4 = 40
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Solving with one operation at each step:</u>
- {362 – [63 + (48 ÷ 2) x 2]} + 3(9 +4) =
- {362 – [63 + 24 x 2]} + 3(9 +4) =
- [362 – (63 + 48)] + 3(9 +4) =
- (362 – 111) + 3(9 +4) =
- 251 + 3(13) =
- 251 + 39 =
- 290