Answer:
Dimensions of photo excluding border:
x = 11 inches
y = 6 inches
Step-by-step explanation:
Let the length be 'x' and width be 'y'.
The width of a photo is 5 inches less than its length, that is:
x-5 = y
let 'X' be length of photo including border and 'Y' be the width of photo including border:
Where X = x+2 and Y = y+2
Now , we have X-5 = Y
and X*Y = 104 square inches
*putting Y = X-5*
X(X-5) = 104
⇒ X-13 = 0 or X+8 = 0
Hence X = 13 or X = -8
As length can not be negative, X = 13 inches
Y = X-5 = 13-5 = 8 inches
Dimensions of photo excluding border:
x = X - 2 = 13-2 = 11 inches
y = Y-2 = 8-2 = 6 inches
The first pair of triangles are similar.
Triangle ABC is similar to Triangle PQR.
I used the SSS theorem of congruency.
( side - side - side) since I knew the sides were equal I knew that they were congruent.
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The second pair of triangles are similar too.
Triangle ABC is similar to Triangle DEF.
I also used the SSS theorem of congruency.
Since I knew what the sides were, I did some calculations and they all equalled 6...
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I hope that helps you out!! Any more questions??
Answer:
Given a rectangle with length l and width w, the formula for the area is: A = lw (rectangle). That is, the area of the rectangle is the length multiplied by the width. As a special case, as l = w in the case of a square, the area of a square with side length s is given by the formula: A = s2 (square).
-4 < x < 6
could also be : x > -4 and x < 6
Ok, so you eat 1/3 of the pizza the first night. That would leave 2/3 of the pizza uneaten. 2/3 is equal to about 0.67.
You're now going to eat a quarter of what's left of the pizza. A quarter of 2/3 is 2/12 which is 1/6. Subtract 1/6 from 2/3... 4/6 - 1/6 = 3/6 = 1/2. The pizza is already half gone.
At the rate you've decided to eat the pizza, it's going to be half gone after 2 nights.
