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)
Answer:
<DEB= 125 degrees
Step-by-step explanation:
To get this, you would need to know all 2 angles of the triangle.
To find the first angle, simply do 180-107 to get 73(because supplementary angles add up to 180 degrees).
Next, 180-52(given angle)-73 to get 55 because the 3 angles of a triangle add up to 180(triangle angle sum theory).
You would see that <DEB is part of another supplementary angle so, do 180-55 to get 125.
<DEB=125 degrees.
Answer:
1:
we have a rule that is (n-2)×180
while n = number of sides
2:
exterior angle of a polygon = 360 ÷ number of sides
so 360÷25=14.4
3:
octagon is 8 side, so as we said: (8-2)×180 = 1080
4:
lets make an equation, we know that (n-2)×180 = the sum
so (x-2)×180=720
180x -360 = 720
180x = 1080
x=6
The answer is the letter A
Answer:
x = 45/13, also x = 3 6/13
Step-by-step explanation:
is = equal sign
of = multiply
<u>Equation:</u>
To do this, you could easily do communitive property of multiplication, but to make it more understandable I will use reversing.
1. Simplify. Multiply - Divide.
2. Factor out common term 5.
3. Multiply both sides by 3.
4. Expand.
5. Add <em>10x</em> to both sides.
Simplify. <em>3x + 10x = 13x.</em>
Divide both sides by 13.
Mixed Number = 
.
You can also use distributive property. The formula for this problem is: 
.
