Answer:
D
Step-by-step explanation:
9 :
Given,
Perimeter = 88 units
Base = x + 4
Height = x - 6
= > Perimeter of Rectangle = 2( base + height )
= > 88 = 2{ ( x + 4 ) + ( x - 6 ) }
= > 88 / 2 = { x + 4 + x - 6 }
= > 44 = 2x - 2
= > 46 = 2x
= > 46 / 2 = x
= > 23 = x
Therefore,
Length of base = ( x + 4 ) units = ( 23 + 4 ) units = 27 units
Length of height = ( x - 6 ) units = ( 23 - 6 ) units = 17 units
10 :
Given,
First integer = x
Second integer = x + 2
Third Integer = x + 4
Given that the sum of all integers is 36
= > ( x ) + ( x + 2 ) + ( x + 4 ) = 36
= > x + x + 2 + x + 4 = 36
= > 3x + 6 = 36
= > 3x = 30
= > ( 3x ) ÷ ( 3 ) = ( 30 ) ÷ ( 3 )
= > x = 10

Value of first integer = x = 10
Answer:
165 inches
Step-by-step explanation:
The scale is 1 to 60, so real measurements are 60 times bigger than drawing measurements.
2.75 inches * 60 = 165 inches
Answer:
Option D, (x + 2)(x - 6)
Step-by-step explanation:
<u>Step 1: Factor
</u>
x^2 - 4x - 12
x^2 - 6x + 2x - 12
(x - 6)(x + 2)
(x + 2)(x - 6)
Answer: Option D, (x + 2)(x - 6)
359 is the correct answer for the English one I think