Answer:
(2)
Step-by-step explanation:
One property of a parallelogram is
• opposite angles are congruent, hence
∠L = ∠N and ∠M = ∠P
Using ∠L = ∠N, then
8x - 41 = 6x + 3 ( subtract 6x from both sides )
2x - 41 = 3 ( add 41 to both sides )
2x = 44 ( divide both sides by 2 )
x = 22
-------------
∠M = 2x + 1 = (2 × 22) + 1 = 44 + 1 = 45°
∠P = ∠M = 45° → (2)
Step-by-step explanation:
95vxgr Tu fjvgzgvkvgshvysrvv
Answer:
10^0*10^1-1,
10^0*10^1*1^10,
10^0+10^1*1^10,10^0+10^1+1^10
Step-by-step explanation:
Answer:
Segment DE is half the length of segment AC. -- Substitution property of equality
Step-by-step explanation:
Here is given a proof for proving line joining mid segment is parallel and half the length of third side.
Stepwise proof is given in two columns
We find that for every line there is a justification as
STatement Justification
D and E coordinates found out MId point formula
DE and BC are measured Distance formula
DE=1/2 BC Substitution property of equality
This justification was missing in the given proof and with this included proof would be complete
12 = 2/3(x - 3)
<em><u>Distributive property.</u></em>
12 = 2/3x - 2
<em><u>Add 2 to both sides.</u></em>
14 = 2/3x
<em><u>Multiply both sides by 3.</u></em>
42 = 2x
<em><u>Divide both sides by 2.</u></em>
21 = x
The value of x is equal to 21.