Answer:
I think the area of the trapezoid is 96
Answer:
135
Step-by-step explanation:
Two supplement angles add up to equal 180 degrees.
So, (45+x=180)
180-45=x
135=x
Answer:
The dimensions are 50 and 100 square foot
Step-by-step explanation:
Let x = length of fenced side parallel to the side that borders the playground
y = length of each of the other two fenced sides
Then, x + 2y = 200
<=> x = 200-2y
The Area = xy = y(200-2y)
The dimensions of the playground that will minimize the homeowner's total cost for materials when the area of the playground is maximum. He can cover more area but with the same cost.
The graph of the area function is a parabola opening downward.
The maximum area occurs when y = -200/[2(-2)] = 50
=> x = 100
So the dimensions are 50 and 100 square foot
That would be one I guess
Answer:
<u>Option C. 9</u>
Step-by-step explanation:
The question is as following:
In triangle ABC, D is the midpoint of line AB and E is the midpoint of line BC. If AC= 3x-15 and DE= 6, what is the value of x?
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See the attached figure which represents the problem.
As shown:
D is the midpoint of line AB ⇒ AD = DB
E is the midpoint of line BC ⇒ BE = EC
Apply The Mid-segment theorem which states that the mid-segment connecting the midpoints of two sides of a triangle is parallel to the third side of the triangle, and the length of this mid-segment is half the length of the third side.
So, DE = 0.5 AC
Given: Ac = 3x-15 and DE =6
∴ 6 = 0.5 (3x - 15)
solve for x
Multiply both sides by 2
12 = 3x - 15
3x = 12 + 15 = 27
x = 27/3 = 9
So, the value of x is 9
<u>The answer is option C. 9</u>