There are 25 tiles total - triangles or squares - 84 edges
triangle (<em>t</em>) = 3 sides
square (<em>s</em>) = 4 sides
<em>t</em>+<em>s</em>= total tiles
<em><u>t</u></em><u>+</u><em><u>s</u></em><u> = 25 </u>← solve
3<em>t</em> + 4<em>s</em> = total sides
<u>3</u><em><u>t </u></em><u>+ 4</u><em><u>s</u></em><u> = 84</u> ← solve
<em>
</em><em>t </em>= 16 <em>s</em> = 9
Check
16 + 9 = 25
3(16) + 4(9) = 84
48 + 36 = 84
<u>There are 9 square tiles in the box</u>
VK = VY+YK by the segment addition postulate. Basically adding two segments along a straight line forms a longer segment. In this case, VY and YK combine to form VK
Since VK = x and VY = 22, this means...
VK = VY+YK
x = 22+YK
x-22 = YK
YK = x-22
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Notice the arc marks where the point T is located. These markings tell us that the two angles VTY and YTK are congruent angles. Because of this, we can use the angle bisector theorem which says that the ratio of the corresponding sides are congruent.
In short, we can form this ratio
VT/VY = KT/KY
which is the ratio of the side adjacent to the angle, to the side opposite the angle
Plug in the given values and solve for x
VT/VY = KT/KY
77/22 = 87.5/(x-22)
77(x-22) = 22*87.5
77(x-22) = 1925
77x-77*22 = 1925
77x-1694 = 1925
77x = 1925+1694
77x = 3619
x = 3619/77
x = 47
Answer: 47
Do reptiles even wear shoes
Answer: The price of each small box is $4.8 and the price of each large box is $10.8.
Step-by-step explanation:
Let x = Price of each small box, y= price of each large box.
As per given,
3x+2y= 36 ...(i)
4x+y= 30 ...(ii)
Multiplying 2 to (ii), we get
8x+2y =60...(iii)
Subtract (i) from (iii), we get
5x= 24
x= 4.8
From (ii)
4(4.8)+y= 30
19.2+y=30
y= 10.8
Hence, the price of each small box is $4.8 and the price of each large box is $10.8.
Substitute , so that
Then the resulting ODE in is separable, with
On the left, we can split into partial fractions:
Integrating both sides gives
Now solve for :