Answer:
they are perpindicular because they intersect at a right angle
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
(1)
CD = CE - DE = 8 - 2 = 6
CB = CD = 6 ( given as congruent ) , thus
AC = AB + CB = 4 + 6 = 10
(2)
∠ 2 + ∠ BCD + ∠ DCF = 180° ( sum of angles on a straight line )
∠ 2 + 60° + 70° = 180°
∠ 2 + 130° = 180° ( subtract 130° from both sides )
∠ 2 = 50°
So let's take a peek at both's ages, keep in mind, every year, is 1year added to Irene and 1year added to Fred
so... if we look at their ages

notice, Fred is always 40years older than Irene
thus, whatever age Irene is, let's say "i", then Fred is " i + 40 "
now, when is Fred 5 times Irene's age or 5*i or 5i? well,
f = fred's age i = irene's age
f = i + 40
now if f = 5i
5i = i + 40 <--- solve for "i" to see how old Irene was then
Answer:
The surface area of the given pyramid is 112
.
Step-by-step explanation:
Base length of the pyramid = 4 inches
Area of the base = 
= 
= 16
Area of its base = 16 
Area of one of its triangular surface =
x base x height
=
x 4 x 12
= 2 x 12
= 24 
Area of all its four triangular surfaces = 4 x 24
= 96 
surface area of the pyramid = sum of areas of all its surfaces
= 16 + 96
= 112 
The surface area of the given pyramid is 112
.
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