Answer:
1) 36 square units.
2) 190 square units.
Step-by-step explanation:
As you can see, the figures are trapezoids, therefore, you can calculate the area of each one of them with the following formula:
Where:
<em>B</em> is the longer base,<em> b</em> is the shorter base and <em>h</em> is the height.
Then:
1) 
2) 
Let w = width
then
5w-3 = length
w(5w-3) = 14
5w^2-3w = 14
5w^2-3w-14=0
(5w+7)(w-2) = 0
w = {-7/5, 2}
throw out the negative solution leaving
w = 2 centimeters
length:
5w-3 =5(2)-3 =10-3 = 7 centimeters
a is correct
Step-by-step explanation:
Area of Bigger rectangle = 4x2 + 5x - 2
Area of Smaller rectangle = x2 + 3× + 5
diff. = ( 4x2 + 5x - 2) - (x2 + 3x - 5)
= 4x2 + 5x -2-x2 - 3x - 5
= 3x2 + 2x - 7
Option C: ∠2 and ∠8
Option E: ∠3 and ∠5
Solution:
Two parallel lines cut by a transversal.
Option A: ∠5 and ∠4
∠4 is not interior of parallel lines.
Hence it is not true.
Option B: ∠6 and ∠5
∠6 is not interior of parallel lines.
Hence it is not true.
Option C: ∠2 and ∠8
∠2 and ∠8 lies in the interior of the parallel lines.
∠2 and ∠8 lies in alternate of the transversal line.
Therefore, ∠2 and ∠8 are alternate interior angles.
Hence it is true.
Option D: ∠8 and ∠1
∠1 is not interior of parallel lines.
Hence it is not true.
Option E: ∠3 and ∠5
∠3 and ∠5 lies in the interior of the parallel lines.
∠3 and ∠5 lies in alternate of the transversal line.
Therefore, ∠3 and ∠5 are alternate interior angles.
Hence it is true.
Therefore ∠2 and ∠8, ∠3 and ∠5 are alternate interior angles.
Answer:
Step By Step Explanation:
Switch Sides
Add 5 To Both Sides
Simplify
Multiply Both Sides By -4
Simplify
