Answer:
1. Sum of the interior angles = 720°
2. (6x) + (5x + 26.5) + (7x - 8) + (4x + 21.5) + (5x + 19) + (10x + 13.5) = 720
3. Angle A = 6x = 6(17.5) = 105
Angle B = (5x + 26.5) = 114
Angle C = (7x - 8) = 114.5
Angle D = (4x + 21.5) = 91.5
Angle E = (5x + 19) = 106.5
Angle F = (10x + 13.5) = 188.5
Step-by-step explanation:
1. The sum of the interior angles = (The number of sides - 2) times 180
The sum of the angles of this polygon with 6 sides is 6 - 2) times 180 = 720°.
2. ∠A + ∠B + ∠C + ∠D + ∠E + ∠F = 720°
(6x) + (5x + 26.5) + (7x - 8) + (4x + 21.5) + (5x + 19) + (10x + 13.5) = 720
37x + 72.5 = 720 Simplify adding x terms and numbers)
37x = 647.5 Subtract 72.5 from both sides
x = 17.5 Dividing both sides by 37
Solve for each angle using x = 17.5
3. Angle A = 6x = 6(17.5) = 105
Angle B = (5x + 26.5) = 114
Angle C = (7x - 8) = 114.5
Angle D = (4x + 21.5) = 91.5
Angle E = (5x + 19) = 106.5
Angle F = (10x + 13.5) = 188.5
Answer:
£13 %11
Step-by-step explanation:
Question:
Which fraction is equivalent to 
?
- 
because 
- 
because 
and 
- 
because and
- 
because 
Answer:
- because and
Step-by-step explanation:
Two fractions are said to be equal if and only if they give the same value when simplified.
The equivalent of is as explained in the selected option;
First, divide numerator and denominator by 2
Then simplify
2/2 = 1 and 6/2 = 3; So;
Multiply numerator and denominator by 3
Hence, is equivalent to
Answer:
step 1 is commutative property of addition
step 2 is commutative property of multiplication
step 3 is distributive property
<h2>C. 1</h2>
−3/4x + 2 1/4 = (1/2)x + 1
Ax = B. Put all the x's on one side and the integers on the other.
−3/4x + 2 1/4 = 1/2x + 1
2 1/4 - 1 = 1/2x + 3/4x
B = Ax:
1 1/4 = 5/4 x
5/4x = 1 1/4x
x = B. Divide by 1 1/4:
1 1/4 = 1 1/4x
1 = x
<h2 />
