4x + 20 = - 71 - ( 3x )
4x + 20 = - 3x - 71
Subtract sides minus 20
4x + 20 - 20 = - 3x - 71 - 20
4x = - 3x - 91
Add sides 3x
4x + 3x = - 3x + 3x - 91
7x = - 91
Divide sides by 7
7x / 7 = - 91 / 7
Simplification
x = - 13
Thus the number is ( - 13 ) .
Given: Area of triangle =84 square feet
height= 4 feet greater than 4 times its base
h=4b +4
Area of triangle= 1/2 ( b) (h)
plugging for area and height
84=1/2 ( b)* (4b+4)
168=4b² +4b
4b²+4b-168=0
taking out 4 common as gcf
b²+b-42=0
factorising we get
(b+7)(b-6)=0
b=6, -7
since length cannot be negative so base =6feet
height= 4b+4 = 24+4=28 feet
Answer:
Step-by-step explanation:
v = 40° ( being vertically opposite angles )
Answer:
x = 2
Step-by-step explanation:
Let's solve your equation step-by-step.
4 ( x − 1 ) = 2 ( 6 − 2 x )
Step 1: Simplify both sides of the equation.
4 ( x − 1 ) = 2 ( 6 − 2 x )
( 4 ) ( x ) + ( 4 ) ( − 1 ) = ( 2 ) ( 6 ) + ( 2 ) ( − 2 x ) (Distribute)
4 x + − 4 = 1 2 + − 4 x
4 x − 4 = − 4 x + 12
Step 2: Add 4 x to both sides.
4 x − 4 + 4 x = − 4 x + 12 + 4 x
8 x − 4 = 12
Step 3: Add 4 to both sides.
8 x − 4 + 4 = 12 + 4
8 x = 16
Step 4: Divide both sides by 8.
8 x / 8 = 16 / 8
x = 2
C! All angles are the same