Answer :
67.5 degrees
Let the measure of two equal angles of the triangles is x.
Thus, the angles of the triangles are x, x and 45 degrees.
The sum of the measures of the angles of all triangles is 180 degrees.
Hence, the equation is
x + x + 45 = 180
Solve the equation for x
2x + 45 = 180
2x = 180 - 45
2x = 135
x = 67.5
Therefore, measure of other two angles are 67.5 degrees.
If x > 0 then |x|/x = 1 !!!
If x<0 then |x|/x = -1
*below is an explanation! :)
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- I found the answer to this by choosing a any number that satisfies the requirement of x > 0 and plugging it into |x|/x
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Watch this!
Let's take 10 for example. 10 is greater than 0 like x>0 requires!
Let's plug it into |x|/x
|10| ÷ 10 = 1
*Remember that | | this means "absolute value" or whatever is in between the two bars will always be positive (+)
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Now let's take a random number that satisfies 0> x and do the same as we did above!
Let's take -3 and plut it into |x|/x
|-3| ÷ -3 = -1
Answer:
Step-by-step explanation:
In order to determine the number of
tiles she will need to cover the pyramid, we would apply the formula for determining the total surface area of a pyramid. It is expressed as
Total surface area = 1/2 × p × l + base area
Where
p represents the perimeter of the base
l represents the slant height of the triangular face
Since the base is a square, the perimeter, p is
12 × 4 = 48 feet
l = 15 feet
Base area = 12² = 144 ft²
Total surface area = (1/2 × 48 × 15) + 144 = 504 ft²
Since the artist decides to cover the metal structure with 1-foot square glass tiles, the number of tiles needed is
504/1 = 504 tiles
<span>f(x) = 5(1/5)-x
f(x) = 5(5)x</span>
