Answer:
take out x+60 and = x+54 cross multiply for starters
Means compplete the square on one side
basically get into form

ok, group x terms

factor out linear coefient (-8)

take 1/2 of the linear coefient and square it
8/2=4, 4^2=16
add positive and negaitve of that inside parntheaese

factor perfect square

expand

in vertex form it is
Answer:
sequence of five intervals
(1) 2 <
< 
(2)
<
< 
(3)
<
< 
(4)
<
< 
(5)
<
< 
Step-by-step explanation:
as per question given data
√3 ≈ 1.732 050 8
to find out
sequence of five intervals
solution
as we have given that √3 value that is here
√3 ≈ 1.732 050 8 ........................1
so
when we find
................2
put here √3 value in equation number 2
we get
that is 3.322
so
sequence of five intervals
(1) 2 <
< 
(2)
<
< 
(3)
<
< 
(4)
<
< 
(5)
<
< 
Let,
The first triangle with sides 7 and 3.5 be ΔABC
The second triangle with sides 3 and x be ΔCDE
ΔABC ≅ ΔCDE (they are congruent) as:
1) They have a common point C
2) ∠ABC = ∠CDE = 90° (given)
Hence we can say,
AC/CE = BC/CD
= 7/x = 3.5/3
Therefore,
x = (7*3)/3.5
= 21/3.5
= 6
Easyyy