The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.
Step-by-step explanation:
The given is,
a = 5
b = x - 1
c = x
Step:1
Pythagorean theorem is,
................................(1)
( It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides )
From the given values the equation (1) becomes,

(
)
25 + (
+ 1 - 2x ) = 
25 + 1 -2x = 0 ( ∵ Eliminate
in both sides)
26 = 2x
x = 13
Step:2
From the values of x,
a = 5
b = ( 13 - 1 ) = 12
c = 13
Result:
The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.
Answer:
20
Step-by-step explanation:
Sn = (n/2)(a1 + a1 + d(n-1)), where S = sum, a1 = first term, n = number of terms, d = common difference
400 = (n/2)(1 + 1 + 2(n - 1))
400 = (n/2)(2 + 2n - 2)
400 = (n/2)(2n
400 = n2
20 = n
Twenty numbers are in the set.
Answer:
9) QR = 4.0
10) AC = 4.1
Step-by-step explanation:
Tan = Opps. / Adj.
9)
Tan(60) = 7 / QR
QR = 7 / Tan(60)
QR = 7 / 1.732
QR = 4.0415
QR = 4.0
10)
Tan (27) = AC / 8
AC = Tan(27) * 8
AC = 0.5095 * 8
AC = 4.076
AC = 4.1
EQUATIONS:
24x + 32y = 264
x + y = 9
x is shirts, y is pants
SOLVING by substitution:
x = 9 - y
24(9 - y) + 32y = 264
216 - 24y + 32y = 264
8y = 48
y = 6
x + 6 = 9
x = 3