Answer:
it will 16y-8x and common 8 is so 2y-x
Proportions are very simple once you get the hang of them! What you do is cross multiple. :)
1. x/8=5/16
You first start by multiplying x and 16
Then multiply 5 and 8
So now you have 16x=40
Finally divide 16 from each side
You get: x+0.4!
2. 5/12=15/x
Remember to cross-multiply!
Now we have 5x=180
Next divide 5 from each side
You get: x=36!
The elements of (A n B)' are ( 3, 4 , 5 ,6). Option A
<h3>How to determine the set</h3>
The elements of this set (A n B) explains the common elements of both sets without repetition
Set A = 3, 4
Set B = 5, 6
A n B = 1, 2
(A n B)' = Is the elements both A and B in common but is not found in the universal set
(A n B)' = ( 3, 4 , 5 ,6)
Thus, the elements of (A n B)' are ( 3, 4 , 5 ,6). Option A
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Answer:


Step-by-step explanation:
Consider triangles AMP and ADC. In these triangles,
- angle A is the common angle, so
by reflexive property; - angles AMP and ADC are congruent as corresponding angles when two parallel lines MP and CD are cut by transversal AD.
Hence, triangles AMP and ADC are similar by AA similarity theorem.
Similar triangles have proportional corresponding sides, thus

so

Consider triangles ACB and PCN. In these triangles,
- angle C is the common angle, so
by reflexive property; - angles ABC and PCN are congruent as corresponding angles when two parallel lines PN and AB are cut by transversal BC.
Hence, triangles ACB and PCN are similar by AA similarity theorem.
Similar triangles have proportional corresponding sides, thus

so
