Answer:
n = - 4
Step-by-step explanation:
6n + 9 = -3n - 21 - 6
6n + 3n = - 21 - 6 - 9
9n = - 27 - 9
9n = -36
n = -36/9
n = - 4
<u>Answer-</u>
<em>The length of BC is </em><em>8 units.</em>
<u>Solution-</u>
Mid-Point Theorem-
The line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
As given,
AD = DB, so D is the mid point of AB
FA = FC, so F is the mid point of AC
Hence, DF is the line segment connecting the midpoints of two sides of a triangle.
Applying the theorem,
BC = 2DF = 2×4 = 8 units
Answer combine 1/2 and x.
X/2+2/3=1/6
Subtract 2/3 from both sides of the equation
X/2=1/6-2/3
Simplify the right side of the equation
-2/3 as a fraction with a common denominator, multiply by 2/2
X/2=1/6-2/3 x 2/2
Multiply 3 by 2
X/2 = 1/6 - 2/6 x 2
Combine the numerators over the common denominator
X/2 = 1-2 x2/ 6
Simplify the numerator
Multiply by -2 by 2
X/2 =1-4/6
Subtract 4 from 1
X/2= -3/6
Cancel the common factor of -3 and 6
Factor 3 out of -3
X/2 = 3(-1)/6
Cancel the common factor of 6
X/2 = 3 .-1/3.2
Rewrite the expression
X/2 = -1/2
Move the negative in front of the fraction
X/2= -1/2
Since both sides have the same Denominator the numerators must be equal.
X=-1
Answer:
Yes, the ratios do form a proportion.
Subtract -9 from both sides.
x2+6x−(−9)=−9−(−9)
x2+6x+9=0
Factor left side of equation.
(x+3)(x+3)=0
Set factors equal to 0.
x+3=0 or x+3=0
x=−3
Answer:
x=−3
