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2 answers:
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Given
A) The angles A and B are supplementary.
If,
B) The figure,
To find
A) The value of x.
B) The value of x.
Explanation:
A) It is given that,
Angle A and angle B are supplementary.
Then,
Hence, the error is in the statement,
Since the angles are supplementary, when added together they equal 90.
As, the correct answer is when added together they equal 180.
That implies,
Hence, the value of x is 18 degrees.
B) It is given that,
From, the figure the given angles are interior angles.
Also, the interior angles on the same side of the transversal is supplementary.
Which means when you add them they equal 180.
Hence, the error is in the statement,
Since the angles are adjacent, they are complementary angles.
Which means when you add them they equal 180.
As, the angles are interior angles on the same side of the transversal.
Also,
Hence, the value of x is 116 degrees.
Answer:
Part 1) The scale factor is
Part 2) The dimensions of the enlarged prism are
a.Length=(8)(2)=16 ft
b.Width=(2)(2)=4 ft
c.Height=(6)(2)=12 ft
Part 3) The surface area of the smaller rectangular prism is 152 ft^{2}
Step-by-step explanation:
we now that
If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor
Part 1)
Find the scale factor
we know that
If the dimensions of the smaller prism are doubled , then the scale factor from the smaller rectangular prism to the larger rectangular prism is equal to
Part 2)
we know that
To find the dimensions of the enlarged figure, multiply the dimensions of the smaller prism by the scale factor
so
Length=(8)(2)=16 ft
Width=(2)(2)=4 ft
Height=(6)(2)=12 ft
Part 3) Find the surface area of the smaller rectangular prism
we know that
The surface area of the rectangular prism is equal to the area of its six rectangular faces
SA=2(8)(2)+2(2)(6)+2(8)(6)=152 ft^{2}