Answer:
equivalent to ![\frac{ 4}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B%204%7D%7B3%7D)
Step-by-step explanation:
Given ratio, ![\frac{16}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B12%7D)
It can be written as ![\frac{16}{12}=\frac{4 \times 4}{4 \times 3}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B12%7D%3D%5Cfrac%7B4%20%5Ctimes%204%7D%7B4%20%5Ctimes%203%7D)
cancel common factor,
![\frac{16}{12}=\frac{ 4}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B12%7D%3D%5Cfrac%7B%204%7D%7B3%7D)
It is a greater number (-3 > -12).
Think of it like this:
Subtract the negative value from any positive value, like 20.
20 - 12 = 8
20 - 3 = 17
As you can see, the equation involving -3 produces a larger number, meaning that the -3 took less value away. This makes it the greater number.
Answer:
∠ECD is 110°
Step-by-step explanation:
For a cyclic quadrilateral,
∠ABC + ∠AEC = 180°
Therefore ∠AEC = 180° - 45° = 135°
∠CAE + ∠ACE + ∠AEC = 180° (Angles in a triangle)
Therefore ∠CAE = 180 - 20 - 135 = 25°
∠CAE = ∠CDA = 25° (Base angles of isosceles triangle ΔCAD)
∠CED + ∠AEC = 180°(Sum of angles on a straight line)
Therefore ∠CED + 135° = 180°
∠CED = 180° - 135° = 45°
∠ECD + ∠CED + ∠CDA = 180°
Therefore ∠ECD = 180° - (∠CED + ∠CDA)
∠ECD = 180° - (45° + 25°) = 110°
Therefore, ∠ECD = 110°.
Answer:
$1.51
Step-by-step explanation:
Unit price represents the cost of only <u>one</u> item.
<h3>To find our answer:</h3>
Divide $4.53 by 3, to represent the cost of one kg. bag of red onions.
4.53 / 3 = 1.51
<h3>Check:</h3>
(One kg. bag) $1.51 x 3 (Represents the number of bags given)
= $4.53
The unit price of a 3-kg. bag with the cost of $4.53, is $1.51 per one kg.
Answer:
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