Answer:
x=7 and m<LMN = 120
Step-by-step explanation:
if MO bisects LMN then 13x - 31 must be equal to x + 53
13x - x = 53 + 31
12x = 84
x = 7
and
13x - 31 + x + 53 = m<LMN
14x + 22 = m<LMN
since x is 7
14×7 + 22 = 120
Answer:
second one (b)
Step-by-step explanation:
The nickel (at the bottom) is increasing at a steady pace. We know this because the line is going in a linear motion (meaning in a straight line). And it is increasing by a steady number (the gradient is 5 grams).
Area of circle = πr2 = π(23)^2
Answer:
The area of the parallelogram is:_______________________________________________________
in² = 1174 ⅛ in² = 1174.125 in² .
_______________________________________________________Explanation:_______________________________________________________Area of a parallelogram:
_______________________________________________________ A = base * height = b * h ;
From the figure (from the actual "question"):
_______________________________________ b = 50.5 in.
h = 23.25 in.
____________________________________________________________Method 1) A = b * h =
= (50.5 in) * (23.25 in) = 1174.125 in² ; or, write as: 1174 <span>⅛ .
</span>
____________________________________________________________Method 2) A = b * h =
= (50 ½ in) * (23 <span>¼ in) =
= (</span>

in) * (

<span> in) ;
</span>
___________________________________________________________Note: "50 ½ " = [(50*2) + 1 ] / 2 =

;
Note: "23 ¼ " = [(23*4) + 1 ] / 4 =

;
____________________________________________________________
→ A = (

in) * (

in) ;
→ A =

in² =

in² ;
→ A = (9393/8) in² =
→
A =
in² = 1174 ⅛ in² = 1174.125 in² .
________________________________________________________
Answer:
A. they both have 4 right angles
B. a sqaure has 4 even sides, a rectangle doesnt
c. they both have 4 even sides
d. rhombi has 2 acute and 2 obtuse angles
e. Parallelograms are a quadrilateral where diagonals bisect each other, opposite sides are parallel by definition, opposite sides are congruent and consecutive angles are supplementary.