Answer:
The length of MN is 58 cm.
Step-by-step explanation:
In the given figure we can see that AM = MB
So, M is the mid point of AB.
Also, BN = NC ( Consider the given figure )
So, N is the mid point of BC.
Since M and N are the midpoints of AB and BC .
So, by mid segment theorem which sates that the segment joining the midpoints of any two sides of a triangle will be parallel to the third side of the triangle and half its length.
⇒ MN is parallel to AC
and
Thus , the length of MN is 58 cm.
Answer:
1. L1 = 
2. O2 = 
Step-by-step explanation:
Given: x = 
1. To make L1 the subject of formula;
x =
cross multiply to have;
L2 - L1 = xL1(O2 - O1)
collect like terms,
L2 = xL1(O2 - O1) + L1
factorize the right hand side;
L2 = L1[x(O2 - O1)]
L1 =
2. To make O2 the subject of formula;
x =
cross multiply to have;
L2 - L1 = xL1(O2 - O1)
open the bracket to have;
L2 - L1 = xL1O2 - xL1O1
⇒ xL1O2 = L2 - L1 + xL1O1
O2 = 
=
Answer:
y = -3x + 2
Step-by-step explanation:
<u>Parallel means same slope which is -3</u>
<u />
<u>Step 1: Use point slope form</u>
(y - y1) = m(x - x1)
(y - (-4)) = -3(x - 2)
y + 4 - 4 = -3x + 6 - 4
y = -3x + 2
Answer: y = -3x + 2
Answer:
x=8
A = 192
Step-by-step explanation:
The perimeter is the sum of the outer lengths
17.9 + 22.6 + 3x = 64.5
Combine like terms
40.5 +3x = 64.5
Subtract 40.5 from each side
40.5 +3x -40.5 = 64.5 - 40.5
3x =24
Divide each side by 3
3x/3 = 24/3
x = 8
The area of a triangle is given by
A = 1/2 bh
The base is 3x = 3(8) =24
and the height is 2x = 2(8) =16
A = 1/2 (24) * 16
A =192
