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VladimirAG [237]
1 year ago
10

Luke is planning to lay two decorative pieces of wood across the 12-inch by 24-inch rectangular glass centerpiece of a cabinet.

Each piece will lie on a diagonal of the centerpiece. Select a number from the drop down menu to correctly complete the statement. Each piece of wood should have a length of approximately how many inches.

Mathematics
2 answers:
Snowcat [4.5K]1 year ago
6 0
What you are looking for is the hypotenuse of a right triangle.
If you have a 12 x 24 rectangle, these would be the sides of the triangle and we would use Pythagorean Theorem to find the hypotenuse.
a^2 + b^2 = c^2
12^2 + 24^2 = c^2
144 + 576 = c^2
720 = c^2
take the square root of both sides
c = sqrt(720)
c = 26.8 inches is the approximate answer.
I don't know what your choices are but one should be close to this answer.
saul85 [17]1 year ago
3 0

Answer:

i can confirm that

<em>26.8</em>

is the right answer.

Step-by-step explanation:

i literally just took the test right now.

<em>~</em><u><em>hope i helped ouo have a nice rest of ur day</em></u><em>~</em>

<em>lots of love,</em>

<em>  lee</em>

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Answer:

300

Step-by-step explanation:

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1 year ago
For a polygon to be convex means that all of its interior angles are less than 180 degrees. Prove that for all integers n ≥ 3, t
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Answer: check explanation

Step-by-step explanation:

Let K(n) be the sum of the interior angles in any n-sided convex polygon which is exactly 180(n −2)

degrees.

CASE: n = 3. A 3-sided polygon is a triangle, whose interior angles were shown always to sum to be 180 degree

INDUCTION HYPOTHESIS: Suppose that K(b) holds for some b ≥ 3. Which means that the interior angles in any b-sided convex

polygon is exactly 180(n −2) degrees.

INDUCTION STEP: We need to show that K(n is greater than or equals to 3) . That is, the interior angles of any b+1-sided convex polygon

is exactly 180(b−2) = 180(b −1) degrees,

Let X be any (b+1)-vertex convex polygon, say with successive vertices x1, x2,..., xb+

Now Y is also a convex polygon , so by the induction hypothesis K(b), the sum of the interior

angles of Y is 180(k −2).

Now let T be the triangle with vertices xk , xb+1, x1. The sum of the interior angles in X is the sum of those

in Y plus the sum of those in T .

So the sum of the interior angles in X is

180(b −2)+180 = 180((b +1)−2) = 180(b −1).

Since X was arbitrary, we conclude that the sum of the interior angles of any (b +1)-sided convex polygon

is 180((b−2)+1) = 180(b−1). That is, P(b +1) holds.

And which means that n is greater or equals to 3

8 0
1 year ago
In a survey respondents were asked which type of movie they watched most often. the bar graph shows how many males and how many
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6 0
1 year ago
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The best way to determine which among the fractions has the greatest value, convert all of them to their decimal equivalents. To do so, divide the numerator by the denominator. Conor ate 0.25 of the pizza, Brandon also 0.25, Tyler 0.75, and Audrey 0.5. Thus, the answer is letter "B. Tyler".
7 0
1 year ago
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Find each product.<br> 1) (5n - 5)(4n - 4)
Paraphin [41]

Answer:

20n² - 40n + 20

Step-by-step explanation:

(5n - 5)(4n - 4)

= 5n(4n) + 5n(-4) - 5(4n) - 5(-4)

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= 20n² - 40n + 20

Another way to do this:

(5n - 5)(4n - 4)

= 5(n - 1) * 4(n - 1)

= 20(n - 1)(n - 1)

= 20(n - 1)²

= 20(n² - 2n + 1)

= 20n² - 40n + 20

6 0
2 years ago
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