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Answer: 10 cm (choice A)</h3>
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Explanation:
One equation we could solve is
x/2.5 = 30/7.5
Note the x/2.5 has us dividing the vertical sides, while 30/7.5 is the same idea for the horizontal sides. The order is large over small. You could do small over large, but make sure you keep both sides consistent.
Solving for x leads to...
x/2.5 = 30/7.5
x*7.5 = 2.5*30
7.5x = 75
x = 75/7.5
x = 10 (choice A)
There are many other possible equations that lead to the same answer. One other possible equation is x/30 = 2.5/7.5
These proportions are possible due to the fact we have similar triangles.
The correct answer is C) y + 5 = 2(x + 3)
In order to find this, simply take the point and the slope and plug into the base form of point-slope form.
y - y1 = m(x - x1)
Use the slope for m and the point for (x1, y1)
y + 5 = 2(x + 3)
Step-by-step explanation:
step 1. an example of difference of squares (dos) is (x + y)(x - y) = x^2 - y^2.
step 2. dos must have only 2 square rootable terms and a "-" between them.
step 3. 196x^2 - 121y^2 = (14x + 11y)(14x - 11y) works!
step 4. 5x^2 - 245 = 5(x^2 - 49) = 5(x + 7)(x - 7) works!
step 5. 27w^5 - 75w = 3w(9w^4 - 25) = 3w(3w^2 + 5)(3w^2 - 5) works!
step 6. x^4 - 100y^2 = (x^2 - 10y)(x^2 + 10y) works!
Answer:
5 feet²
Step-by-step explanation:
The area of entrance = area of triangle
Height, h = 2 1/2 feets
Width, w = 4 feets
The Area of a triangle is given as :
1/2 * base * height
Base = width = 4 feets
Area of entrance = 0.5 * 4 * 2.5
Area of entrance = 5 feet²
Hence, the area of the entrance is 5 feet square.
