Answer:
B
Step-by-step explanation:
I think this is the answer
Answer:
angle DGE= 24 Degree
arc GF= 146degree
Step-by-step explanation:
angle DGE is inscribed in arc DE and arc DE is 48 degree , as we know inscribed angle is half of the arc subyending it , so half of 48 is 24 degree
arc GF subtended the angle GEF which is equal to 73 degree , and this angle is inscribed , if we say inscribed angle is half of the arc subtending it , this means the arc is twice of inscribed angle , so twice of 73 is 146 degree so
angle DGE =24 degree &
ARC GF=146 degree
Answer:
1 pack of paper = $22
1 staple = $39
The attached image will help you!
Answer: Choice D)
S(x) = 6x^2 - 20x
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Explanation:
x = side length of base
x*x = x^2 = area of base
The top also has an area of x^2 since the base and top are both congruent squares. The total base area is x^2+x^2 = 2x^2
The height h is 5 inches shorter than the base, so
h = (base length) - 5
h = x-5
Each lateral side is of area h*x = (x-5)*x = x^2-5x
There are 4 lateral sides
Total lateral area = 4*(area of one lateral side)
Total lateral area = 4*(x^2-5x)
Total lateral area = 4*x^2-4*5x
Total lateral area = 4*x^2-20x
Add the total lateral area (4x^2-20x) to the total base area (2x^2)
Doing so gets us
S(x) = Total Surface Area
S(x) = (Area of bases) + (area of lateral sides)
S(x) = (2x^2) + (4x^2-20x)
S(x) = (2x^2+4x^2) - 20x
S(x) = 6x^2 - 20x
which is why the answer is choice D
Given the statement, "If

is odd, then

is odd," its contrapositive claims that, "If

is not odd, then

is not odd."
So assume

is not odd, i.e.

is even. This means there is an integer

for which

. Squaring this gives

.
Well, we can write

, and

is just another integer, which means

must be even.