Answer:
In quadrilateral ABCD we have
AC = AD
and AB being the bisector of ∠A.
Now, in ΔABC and ΔABD,
AC = AD
[Given]
AB = AB
[Common]
∠CAB = ∠DAB [∴ AB bisects ∠CAD]
∴ Using SAS criteria, we have
ΔABC ≌ ΔABD.
∴ Corresponding parts of congruent triangles (c.p.c.t) are equal.
∴ BC = BD.
Answer:
.
Step-by-step explanation:


to give b from both equation the same value


a:b:c = 8:6:9
a = 8
b = 6
c = 9
For this problem, I'd use cross-multiplication.
9/12 = x/8.
When cross multiplying, multiply 12*x and 9*8. This leads to a new equation:
12x = 72.
Then you solve as an algebra problem.
*Divide 12 on both sides*
x = 6.
Answer:

Step-by-step explanation:
In this problem, we have:
H = 452 m is the height of the Petronas tower
h = 1.75 m is the height of the woman
d = 120 m is the distance between the woman and the base of the tower
First of all, we notice that we want to find the angle of elevation between the woman's hat the top of the tower; this means that we have consider the difference between the height of the tower and the height of the woman, so

Now we notice that
and
are the two sides of a right triangle, in which the angle of elevation is
. Therefore, we can write the following relationship:

since
H' represents the side of the triangle opposite to 
d represents the side of the triangle adjacent to 
Solving the equation for
, we find the angle of elevation:
